The Archimedeans - Eureka Back Issues

Eureka Back Issues

Some back issues of Eureka are available for sale.

We are gradually making back issues of Eureka available online. The following is a summary of the past issues of Eureka, with links where any part of the issue is available online; full tables of contents follow this list.

Eureka 1 (January 1939) [contents]
Eureka 2 (May 1939) [contents]
Eureka 3 (January 1940) [contents]
Eureka 4 (May 1940) [contents]
Eureka 5 (January 1941) [contents]
Eureka 6 (May 1941) [contents]
Eureka 7 (March 1942) [contents]
Eureka 8 (February 1944) [contents]
Eureka 9 (April 1947) [contents]
Eureka 10 (March 1948) [contents]
Eureka 11 (January/February 1949) [contents]
Eureka 12 (October 1949) [contents]
Eureka 13 (October 1950) [contents]
Eureka 14 (October 1951) [contents]
Eureka 15 (October 1952) [contents]
Eureka 16 (October 1953) [contents]
Eureka 17 (October 1954) [contents]
Eureka 18 (November 1955) [contents]
Eureka 19 (March 1957) [contents]
Eureka 20 (October 1957) [contents]
Eureka 21 (October 1958) [contents]
Eureka 22 (October 1959) [contents]
Eureka 23 (October 1960) [contents]
Eureka 24 (October 1961) [contents]
Eureka 25 (October 1962) [contents]
Eureka 26 (October 1963) [contents]
Eureka 27 (October 1964) [contents]
Eureka 28 (October 1965) [contents]
Eureka 29 (October 1966) [contents]
Eureka 30 (October 1967) [contents]
Eureka 31 (October 1968) [contents]
Eureka 32 (October 1969) [contents]
Eureka 33 (October 1970) [contents]
Eureka 34 (October 1971) [contents]
Eureka 35 (October 1972) [contents]
Eureka 36 (October 1973) [contents]
Eureka 37 (October 1974) [contents]
Eureka 38 (1975/76) [contents]
Eureka 39 (April 1978) [contents]
Eureka 40 (June 1979) [contents]
Eureka 41 (Summer 1981) [contents]
Eureka 42 (Summer 1982) [contents]
Eureka 43 (Easter 1983) [contents]
Eureka 44 (Spring 1984) [contents]
Eureka 45 (January 1985) [contents]
Eureka 46 (January 1986) [contents]
Eureka 47 (February 1987) [contents]
Eureka 48 (March 1988) [contents]
Eureka 49 (March 1989) [contents]
Eureka 50 (April 1990) [contents]
Eureka 51 (March 1992) [contents]
Eureka 52 (March 1993) [contents]
Eureka 53 (February 1994) [contents]
Eureka 54 (March 1996) [contents]
Eureka 55 (June 2001; second printing April 2002) [contents]
Eureka 56 (March 2004) [contents]
Eureka 57 (May 2005) [contents]

The following are lists of contents of all past issues (erratum sheets not yet included), with links to the articles where available. For Eureka 55, the list relates to the second printing, the only difference from the contents of the first printing being that an obituary of Cedric A. B. Smith was added. (There were also many corrections, a new date on the title page and an additional note in the Editorial.) We are not aware of any other issues having been produced in multiple versions.

Eureka 1 (January 1939)

Editors: F. J. Collinson and E. P. Hicks and A. Jackson

Article title	Authors	Pages
Front matter	F. J. Collinson and E. P. Hicks and A. Jackson	front cover-2
Advertisement	Macmillan	inside front cover
Editorial	F. J. Collinson and E. P. Hicks and A. Jackson	2
Discontinuities of the Directors' Circle	The Editors	3-4
Looking Back	E. T. E.	5-6
The Edinburgh Honours Maths. Degree	N. Walls	6-8
Mathematics and Genetics		8
Star-gazers		8
Mathematics and Chess	I. J. Good	9-11
Examiners Appointed		11
Our Anthem?	The Archimedeans' Secretary	12-13
The Mathematical Association - I	A. W. Siddons	13-15
Clear Thinking	J. F. O'Donovan	15
The Value of a Mathematical Education	J. M. Craddock	16-17
A Mathematical Crossword	E. P. H. and C. H. B.	17
The Publication of Mécanique Analytique	M. W. B. Paterson	18-20
Solutions to Problems on page 15	J. F. O'Donovan	20
Differentiation	F. J. Collinson	21-22
Student Opinion		23-24
Chess Problems	J. F. O'Donovan	24-25
Ballade of Geometrical Confusion		25
Book Reviews	V. R. C. and E. P. H.	26-27
The Duodecimal Scale		27
Advertisement	Bowes & Bowes	28
Advertisement	W. Heffer & Sons Ltd. [Printers]	28
Advertisement	W. Heffer & Sons Ltd. [Bookshop]	inside back cover
Advertisement	Deighton, Bell & Co., Ltd.	back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 2 (May 1939)

Editors: F. J. Collinson and A. Jackson and J. Rudd

Article title	Authors	Pages
Front matter	F. J. Collinson and A. Jackson and J. Rudd	front cover-2
Advertisement	W. Heffer & Sons Ltd. [Bookshop]	inside front cover
Editorial	F. J. Collinson and A. Jackson and J. Rudd	2
Undergraduate Mathematics in America	R. P. Boas, Jun.	3-6
Mathematics and Games	P. M. Grundy	6-8
Jobs for Geometers?		8
Beware of the Haggis!	D. G. K.	9
The Sons of the Dons	R. Turner	9-10
On the Teaching of Undergraduate Mathematics	W. Rudge	10-13
The Archimedeans' Questionnaire		13-16
Antisymmetric Crossword	Aias	16-17
Relativity		17
The Mathematical Association - II	A. W. Siddons	18-19
Mathematics in Oxford	The Invariants' Secretary	19-21
Meteorology		21
The Oxford University Invariant Society		21
Newnham Nightmare	Double Six	22
Sonia Kovalevsky	V. R. Cane	23-26
Integration	F. J. Collinson	27-28
Solution to "A Mathematical Crossword"	E. P. H. and C. H. B.	28
Mathematical Biology		28
Advertisement	Bowes & Bowes	inside back cover
Advertisement	W. Heffer & Sons Ltd. [Printers]	inside back cover
Advertisement	Deighton, Bell & Co., Ltd.	back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 3 (January 1940)

Editors: G. Davies and M. W. B. Paterson and J. Rudd and S. E. Wood

Article title	Authors	Pages
Front matter	G. Davies and M. W. B. Paterson and J. Rudd and S. E. Wood	front cover-1
Editorial	G. Davies and M. W. B. Paterson and J. Rudd and S. E. Wood	1-2
The Why and How of the Archimedeans	The President	2-4
5-Minute Problem	C. A. B. S.	4
Mathematics in War-Time	G. H. Hardy	5-8
Clerihews		8
Mathematical Tripos, Part $\pi$	C. A. B. Smith	9-10
Vector Analysis	K. C. Bowen	10-11
What Modern Algebra is About	P. Hall	12-14
The Mathematics of Bridge	C. H. Braybrook	14-17
Evacuees	R. E. Goddard	17
A Numerical Square	S. E. W.	18
Solution of Antisymetric Crossword		18
Ruler and Compasses	E. C. Thompson	19-21
A Note on Notation	H. A. Elliott	22-24
Solution of 5-Minute Problem	C. A. B. S.	24
The Last of the Classics	M. W. B. Paterson	25-27
Book Reviews	W. R. and R. J. and J. E. L. C.	27-28
Back matter	W. Heffer & Sons Ltd.	28
Advertisement	Deighton, Bell & Co., Ltd	back cover

Eureka 4 (May 1940)

Editors: G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood

Article title	Authors	Pages
Front matter	G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood	front cover-1
Advertisement	W. Heffer & Sons Ltd.	inside front cover
Editorial	G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood	1
What Quantum Theory is About	P. A. M. Dirac	2-4
Problem for Poultry Farmers	R. S. S.	4
Mathematical Tripos. Part III		5
Is This What You Think?	W. R. and P. J. W.	6-8
British Student Congress: Leeds, 1940	D. J. H.	8-9
"Almost Isosceles" Right-Angled Triangles	P. E. Trier	9-11
To all Geometers		11
King's College (Lond.) Maths. Society	The Secretary	12-13
What is a Mathematician?	Harold Jeffreys	13-15
Crosswords		16
Mass Observation	D. J. Halliday	17-20
Letter to the Editors	H. Pétard	20
Numerical Acrostic		20
On the Problem of the Sons of the Dons	K. Tweedie	21-23
Joint Committee		23
Syllabus of Part $\pi$	C. A. B. S.	24
Book Reviews	N. B. S. and E. M. T. and A. J. F. T. and C. H. E. W. and J. T.	25-28
Notice	G. Davies and D. J. Halliday and M. W. B. Paterson and J. Rudd and D. J. Toft and S. E. Wood	28
Advertisement	Fitzbillies	28
Back matter	W. Heffer & Sons Ltd.	28
Advertisement	Bowes and Bowes (Cambridge) Ltd.	inside back cover
Advertisement	Dorothy Café	inside back cover
Advertisement	Deighton, Bell & Co. Limited	back cover

Eureka 5 (January 1941)

Editors: K. R. Atkins and J. T. Hansford and J. G. Oldroyd and R. S. Scorer and D. E. Jones and K. H. Spikes and D. J. Toft and S. E. Wood

Article title	Authors	Pages
Front matter	K. R. Atkins and J. T. Hansford and J. G. Oldroyd and R. S. Scorer and D. E. Jones and K. H. Spikes and D. J. Toft and S. E. Wood	front cover-1
Advertisement	W. Heffer & Sons Ltd.	inside front cover
Editorial	K. R. Atkins and J. T. Hansford and J. G. Oldroyd and R. S. Scorer and D. E. Jones and K. H. Spikes and D. J. Toft and S. E. Wood	1
Archimedeans' Activities	J. L. K. and C. S. B. and J. T. H. and J. B. P.	2-3
Modern Geometry	W. V. D. Hodge	4-6
Mathematicians in the Army	J. G. Oldroyd	6
A New Way of Writing Numbers	C. A. B. Smith	7-9
Faculty News	H. A. E.	9-10
Crosswordiness	I. J. Good	10-11
Piccadilly Underground Station	G. A. Roberts	12
A Theorem in Geometry	S. N. Collings	12-13
Vignère's Cipher	M. E. Pulvermacher	13-14
Solutions of Problems		15
The Solid Angles of a Tetrahedron	R. S. Scorer	16-17
Another Mathematician's Apology	E. Cunningham	17-19
A Crossword in Decimals	E. M. White	20
Round the Table	J. B. Parker	20-21
The Euclidean Spook	D. B. Scott	21-24
Undergraduate Council Report	C. S. B.	24
Book Reviews	D. B. S. and H. A. E. and J. G. O. and R. S. S. and J. T. H. and B. D. B. and K. R. A.	25-28
Advertisement	Fitzbillies	28
Back matter	W. Heffer & Sons Ltd.	28
Advertisement	Bowes and Bowes (Cambridge) Ltd.	inside back cover
Advertisement	Dorothy Café	inside back cover
Advertisement	Deighton, Bell & Co. Limited	back cover

Eureka 6 (May 1941)

Editors: K. R. Atkins and J. T. Hansford and J. G. Oldroyd and D. E. Jones and K. H. Spikes and T. C. Spring-Rice

Article title	Authors	Pages
Front matter	K. R. Atkins and J. T. Hansford and J. G. Oldroyd and D. E. Jones and K. H. Spikes and T. C. Spring-Rice	front cover-1
Advertisement	W. Heffer & Sons Ltd.	inside front cover
Editorial	K. R. Atkins and J. T. Hansford and J. G. Oldroyd and D. E. Jones and K. H. Spikes and T. C. Spring-Rice	1
Archimedeans' Activities	R. F. B. and J. L. K.	2-4
An Undergraduate Apology	D. J. T. and R. S. S.	4-7
The Kingdom of Mathematica	R. C. Lyness	7
The Faking of Genetical Results	J. B. S. Haldane	8-10
Solutions of Problems		10-11
Geodesia	J. G. Oldroyd	11
Reform of School Mathematics	A. Robson	12-14
Modern Physical Theory and Mathematics	M. J. H. Moyal	14-16
Extensions of the Playfair Cipher	F. T. M. Smith	16-17
Analysis	M. L. Cartwright	18-21
Some Missing-Figure Divisions	The President	21-24
N.U.S. Congress, 1941	R. F. Braybrook	25-26
Advertisement	Miller's	26
A Simple Acrostic		27
Book Reviews	R. L. W. and J. G. O.	27-28
Advertisement	Fitzbillies	28
Back matter	W. Heffer & Sons Ltd.	28
Advertisement	Bowes and Bowes (Cambridge) Ltd.	inside back cover
Advertisement	Dorothy Café	inside back cover
Advertisement	Deighton, Bell & Co. Limited	back cover

Eureka 7 (March 1942)

Editors: J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker

Article title	Authors	Pages
Front matter	J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker	front cover-1
Editorial	J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker	1
Archimedeans' Activities	K. H. S. and V. W. D. H.	2
An Editor's Apology	J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker	2
Undergraduate Council Report	G. C. T.	3
Untitled note	J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker	3
Finitism	R. L. Goodstein	4-8
A Three-Dimensional Jig-Saw	P. M. Grundy	8-10
Mathematics and the Naval Officer	G. A. Clarkson	11-13
Untitled poem	Arcus	13
A Mathematical Crossword	The President	14-15
A Mathematical Cipher	Harold Simpson	15-16
Untitled quotation	Robert Recorde	16
Untitled poem	Arcus	16
Untitled observation		16
A Shuffling Problem	T. H. R. Skyrme	17-18
Notations for Rotations	Bertha Jeffreys	19-20
The Early Days of the Calculus	S. Lilley	21-25
Solutions of May Problems	J. G. O.	25
Solution to Crossword	The President	25
Are you Hard and Sharp, or Soft and Vague?	M. H. A. Newman	26-28
Untitled question		28
Untitled poem	Arcus	28
Untitled note	J. T. Hansford and T. H. R. Skyrme and T. C. Spring-Rice and M. Walker	29
Book Review	J. M. R.	29
Advertisement	Fitzbillies	30
Advertisement	Galloway & Porter Ltd.	30
Advertisement	W. Heffer & Sons Ltd.	31
Advertisement	Bowes and Bowes (Cambridge) Ltd.	32
Back matter	W. Heffer & Sons Ltd.	32
Advertisement	Deighton, Bell & Co. Limited	back cover

Eureka 8 (February 1944)

Editors: P. Brodetsky

Article title	Authors	Pages
Front matter	P. Brodetsky	front cover-1
Editorial	P. Brodetsky	1-2
Archimedeans' Activities	A. O. L. A. and V. A.	2
N.U.S. Congress, 1943		3
A Proof that Every Equation has a Root	F. J. Dyson	3-4
Pyramid Patience	B. D. Price	5-7
A Remark on the Schröder-Bernstein Theorem	G. Kreisel	7
On a Geometric Trifle	G. Kreisel	8-9
Some Guesses in the Theory of Partitions	F. J. Dyson	10-15
Short Vision	A. C. Falconer	15
Book Review	A. O. L. A.	16
Back matter	W. Heffer & Sons Ltd.	16

Eureka 9 (April 1947)

Editors: A. M. Macbeath

Article title	Authors	Pages
Front matter	A. M. Macbeath	front cover-1
Advertisement	W. Heffer & Sons Ltd.	inside front cover
Editorial	A. M. Macbeath	2
The Archimedeans	V. W. D. H. and R. V. B.	2-3
On Reading Encyclopaedias	S. Lilley	3-5
Some Fundamental Equations of Astronautics	D. F. Lawden	5-9
The Coloured Cubes Problem	F. de Carteblanche	9-11
A Problem on Orchards	G. C. Shephard	11-14
Semi-Linear Functions	A. F. Ruston	14-16
A Method of Describing Cassini's Ovals	F. T. M. Smith	16-17
Latin Squares	H. A. Thurston	18-21
A Three-colour Problem	Blanche Descartes	21
House Numbers	R. A. Rankin	21-22
The Umbrella Problem		22
Fermat's Last Theorem	H. A. Thurston	22
Advertisement	The Dugout	23
Advertisement	Fitzbillies	24
Advertisement	Miller's	24
Crossword		25
Book Reviews	A. M. M. and V. W. D. H. and F. H.	26-28
Advertisement	Galloway & Porter Ltd.	28
Back matter	W. Heffer & Sons Ltd.	28
Advertisement	Bowes and Bowes (Cambridge) Ltd.	inside back cover
Advertisement	Dorothy Café	inside back cover
Advertisement	Deighton, Bell & Co. Ltd.	back cover

Eureka 10 (March 1948)

Editors: G. C. Shephard

Article title	Authors	Pages
Front matter	G. C. Shephard	front cover-1
Advertisement	W. Heffer & Sons Ltd.	inside front cover
Editorial	G. C. Shephard	2
The Archimedeans	A. M. M.	2
Newton's Principia	D. W. J. Cruickshank	3-5
Note on a Diophantine Equation	Diogenes	5
A Property of the Golden Number	D. B. Sawyer	6-7
The Cambridge Mathematical Laboratory	R. V. Baron	7
An Alphabet	Pluto	8-9
Back Numbers	G. C. Shephard	9
Some Ratio Theorems	G. C. Shephard	10-12
Lines to a Don	Sucra	12
Experimental Arithmetic	D. R. Hartree	13-18
A Tennis Problem	J. S. R. Chisholm	18
Untitled poem	Sucra	18
Crossword		19
The Deltoid	A. M. Macbeath	20-23
Solutions to Problems in Eureka No. 9		24-25
Book Reviews	A. E. I. and V. W. D. H. and J. A. T. and G. C. S. and E. S. P.	26-29
The Mathematical Association		29
Analysis Amoris, or Love Confounded	V. R. C.	29
Advertisement	Waffle Cafe	30
Advertisement	Students' Bookshops Limited	30
Advertisement	Thurston's Café	31
Advertisement	University Cameras	31
Advertisement	Livingstone Restaurant	31
Advertisement	Camtax Ltd.	32
Advertisement	Eros Café, Ltd.	32
Advertisement	Jack Carter	33
Advertisement	Green Park Restaurant	33
Advertisement	Fitzbillies	34
Advertisement	Dorothy Café	34
Advertisement	The Dugout	35
Advertisement	Galloway & Porter Ltd.	35
Advertisement	Bowes & Bowes	36
Advertisement	Deighton, Bell & Co. Ltd.	inside back cover
Advertisement	Friar House Restaurant	inside back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 11 (January/February 1949)

Editors: G. C. Shephard

Article title	Authors	Pages
Front matter	G. C. Shephard	front cover-1
Advertisement	W. Heffer & Sons Ltd.	inside front cover
Editorial	G. C. Shephard	2
The Archimedeans	J. S. R. C.	2
The Fundamental Theorem of the New Geometry	N. A. Routledge	3-4
Query	Sucra	4
Noughts and Crosses	G. E. Felton and R. H. Macmillan	5-9
Back Numbers	G. C. Shephard	9
The Problems Drive	G. C. S.	10-11
An Unsolved Problem		11
Untitled poem	Sucra	11
Crossword		12
Ruler and Compasses	J. Leech	13-17
Two Problems on Cats		17
Members of Parliament - A Problem in Abstract Algebra	H. A. Thurston	18
Untitled poem		18
A Note on Fermat's Last Theorem and the Mersenne Numbers	C. B. Haselgrove	19-22
Remark on the Motion of Tops in reply to Query	A mathematic Top	22
E.D.S.A.C.	D. J. Wheeler	23-25
The Mathematical Association		25
Solutions to Cat Problems		25
The Deltoid (II)	A. M. Macbeath	26-29
Book Review	R. J. T.	29
Potter's Orchard	I. Bridges	30
Solutions to Problems in this Issue		30-31
Solutions to Problems in Eureka No. 10		31
Advertisement	Eros Café	32
Advertisement	Jack Carter	32
Advertisement	Fitzbillies	33
Advertisement	Galloway & Porter Ltd.	33
Advertisement	Livingstone Restaurant	33
Advertisement	Friar House Restaurant	34
Advertisement	Green Park Restaurant	34
Advertisement	Bowes & Bowes	35
Advertisement	Dorothy Café Ballroom	36
Advertisement	George Dennington	36
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 12 (October 1949)

Editors: G. C. Shephard

Article title	Authors	Pages
Front matter	G. C. Shephard	front cover-1
Advertisement	Bowes & Bowes	inside front cover
Advertisement	Gradzinski	inside front cover
Editorial	G. C. Shephard	2
The Archimedeans	J. S. R. C.	2
Gambling for Gain	G. H. Toulmin	3-4
Cross Number Puzzle		4
Untitled note	G. C. Shephard	4
The Deltoid (III)	A. M. Macbeath	5-6
Two Problems on Frameworks		6
The Problems Drive		7-8
The Mathematician and Human Beings	B. N. Wates	9-11
Back Numbers	G. C. Shephard	11
Crossword		12
A Very Short History of Mathematics	W. W. O. Schlesinger and A. R. Curtis	13-15
Solutions to Problems Drive		15
The Mathematical Association		16
Untitled problem		16
Solutions to Problems in Eureka No. 11		17
Advertisement	W. Heffer & Sons Ltd.	18
Advertisement	George Dennington	18
Advertisement	Fitzbillies	19
Advertisement	Jack Carter	19
Advertisement	Friar House Restaurant	20
Advertisement	J. S. Wilson & Son	20
Advertisement	Allen-Lyman Secretarial Bureau	20
Advertisement	Chartwell	inside back cover
Advertisement	Livingstone Restaurant	inside back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 13 (October 1950)

Editors: G. H. Toulmin

Article title	Authors	Pages
Front matter	G. H. Toulmin	front cover-1
Advertisement	Bowes & Bowes	inside front cover
Advertisement	Dean & Dawson Ltd.	inside front cover
Advertisement	Fitzbillies	i
Advertisement	Deighton, Bell & Co., Limited	i
Advertisement	Livingstone Restaurant	i
Advertisement	Camtax	ii
Advertisement	University Typewriting Office Limited	ii
Advertisement	Gardenia Restaurant	ii
Editorial	G. H. Toulmin	2
The Archimedeans	J. H.	2
Greek Metamathematics	N. A. Routledge	3-4
The First Year of the Edsac	S. Gill	5-6
Two Dissection Problems		6
The Twelve Coin Problem	Blanche Descartes	7
Supervisor's Complaint		7
Prime Numbers	C. B. Haselgrove	8-10
Postal Subscriptions and Back Numbers	G. H. Toulmin	10
The Problems Drive		11
Wari	R. H. Macmillan	12
A Diophantine Problem	J. Leech	13-14
Puzzle		15
Telepathy Experiment	C. B. Haselgrove	16
Book Reviews	J. L. and J. S. R. C.	17-18
A Paradox		18
The Revision of the Tripos	G. H. T.	19
The Mathematical Association		19
Solution to Twelve Coin Problem	Blanche Descartes	20
Solutions to Problems Drive		20-21
Solutions to Problems in Eureka No. 12		21
Advertisement	W. Heffer & Sons Ltd.	22
Adverisement	George Dennington	22
Advertisement	Allen-Lyman Secretarial Bureau	inside back cover
Advertisement	The Archimedeans	inside back cover
Back matter	W. Heffer & Sons Ltd.	inside back cover
Advertisement	Chartwell	back cover
Advertisement	Jack Carter	back cover

Eureka 14 (October 1951)

Editors: G. H. Toulmin

Article title	Authors	Pages
Front matter	G. H. Toulmin	front cover-1
Advertisement	Fitzbillies	i
Advertisement	Arthur Shepherd	i
Advertisement	Regent Restaurant	i
Advertisement	Students' Bookshops Ltd.	ii
Advertisement	John Smith & Son (Glasgow) Ltd.	ii
Editorial	G. H. Toulmin	2
The Archimedeans	D. J. H.	2
Geometrical Discord	J. Leech	3-6
Cross Number Puzzle		6
Triposland	R. Shaw	7-9
The Grantaford Bumps		9
Large Primes	J. C. P. Miller	10-11
Untitled poem		11
The Problems Drive		12-13
Note on a Theorem of Euler	Diogenes	13
Highway Headache		14
Postal Subscriptions and Back Numbers		14
Solution to Grantaford Bumps		14
Building a Noughts and Crosses Machine	P. C. Parks	15-17
An Electrical Problem		17
Book Reviews	M. B. and J. A. T. and D. W. B. and S. G. and S. E. T.	18-21
The Mathematical Association		21
Rational Spherical Triangles	C. B. H.	22
Solutions to Problems Drive		22
Solutions to Problems in Eureka No. 13		23
Advertisement	Chartwell	24
Advertisement	George Dennington	24
Advertisement	Premier Travel Ltd.	25
Advertisement	Taj Mahal Café Restaurant	25
Advertisement	The Archimedeans	25
Advertisement	W. Heffer & Sons Ltd.	26
Advertisement	Jack Carter	26
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 15 (October 1952)

Editors: J. C. Polkinghorne

Article title	Authors	Pages
Front matter	J. C. Polkinghorne	front cover-1
Advertisement	W. Heffer & Sons Ltd.	inside front cover
Advertisement	The Archimedeans	inside front cover
Advertisement	Regent Restaurant	inside front cover
Editorial	J. C. Polkinghorne	2
The Archimedeans	L. J. M. B.	2-3
Professor A. S. Besicovitch	M. F. A.	3-5
Supersonic Airflow	M. J. Lighthill	5-9
Mathematician's Lament	A. B.	9
Fancy That!		9
Cosmological Theories	F. Pirani	10-13
Cinderquadrics (or the Babes in the Complex)	H. M.	14-15
Relative Values	Julius	15
Definition		15
Untitled poem	P. A. S.	15
Three Dimensional Cross Number Puzzle	Nero	16
Solution to Cross Number Puzzle in Eureka No. 14		16
The Mathematical Association		16
Differentiation		17-18
Book Reviews	C. B. H. and H. J. and S. W. and F. R. K.	19-21
Postal Subscriptions and Back Numbers	J. C. Polkinghorne	22
Advertisement	Premier Travel Ltd.	22
Advertisement	Florence Restaurant	22
Advertisement	Cambridge University Press	23
Advertisement	Fitzbillies	24
Advertisement	Jack Carter	24
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 16 (October 1953)

Editors: J. C. Polkinghorne

Article title	Authors	Pages
Front matter	J. C. Polkinghorne	front cover-1
Advertisement	Bowes & Bowes	inside front cover
Editorial	J. C. Polkinghorne	2
The Archimedeans	M. F. A.	2-3
A Contribution to the Mathematical Theory of Big Game Hunting	H. Pétard	3-6
Morley's Trisector Theorem	R. P.	6-7
Postal Subscriptions and Back Numbers	J. C. Polkinghorne	7
Svoyi Kosiri is an Easy Game	R. S. and J. M. B.	8-12
In Praise of Mathematics	T. G. P.	12
Untitled poem	R. I. M.	12
Quantum Field Theory	Bodmas	13-15
Problems Drive		15-17
Why are Series Musical?	Blanche Descartes	18-20
Integration	J. C. P.	20-21
Solutions to Problems Drive		21
Book Reviews	P. S-D. and M. A. H. and A. J. W. and C. B. H. and D. W. S. and J. C. P. and J. P. H. M.	22-26
The Mathematical Association		26
Advertisement	The Archimedeans	26
Advertisement	Jack Carter	27
Advertisement	Dean & Dawson Ltd.	27
Advertisement	Fitzbillies	28
Advertisement	W. Heffer & Sons Ltd.	28
Advertisement	Cambridge University Press	inside back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 17 (October 1954)

Editors: O. M. Phillips

Article title	Authors	Pages
Front matter	O. M. Phillips	front cover-2
Advertisement	Bowes & Bowes	inside front cover
The Archimedeans	P. S.	3
Untitled quotation	John Calvin	3
Are Mathematicians Musical?		4
Hymne to Hymen	Blanche Descartes	5-7
Problems Drive, 1953-54		8-9
Saint Petersburg		9
Aerodynamic Noise	P. Martin	10-12
A Song ... Against Mathematicians	D. Handscomb	12
Cross Number Puzzle	Pythagoras	13
Word Problem	R. Penrose	13
Construction Problem	R. Penrose	13
Logarithms to Base 1.024!	N. M. Gibbins	14-16
Solutions to Problems Drive		16-17
Solution of Construction Problem	R. Penrose	17
Solution to Word Problem	R. Penrose	17
Book Reviews	J. C. P. and M. J. A. and M. A. H. and O. M. P. and J. L. M.	18-22
Advertisement	Cambridge University Press	20
Mathematical Association		22
Advertisement	Fitzbillies	23
Advertisement	Dean & Dawson Ltd.	23
Advertisement	W. Heffer & Sons Ltd.	24
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 18 (November 1955)

Editors: O. M. Phillips

Article title	Authors	Pages
Front matter	O. M. Phillips	front cover-2
Nim-Arithmetic	C. T. C. Wall	3-7
Diophantus Smith		7
A Theory of Biased Dice	J. D. Roberts	8-11
Plasticity	P. Drazin	12-13
Mathematical Association		13
Untitled poem	Clerihew	13
Prize Contributions	O. M. Phillips	14
By Induction or Ever Been Had?		14
Problems Drive		15-17
3D	J. L. Martin	17-20
Approximate Constructions for 7, 9, 11, 13-sided Polygons	J. C. Oldroyd	20
Solutions to Problems Drive		21
Diophantus Smith - Solution		22
Postal Subscriptions and Back Numbers		22
Ever Been Had? - Solution		23
Advertisers' Index	O. M. Phillips	23
Advertisement	Cambridge University Press	24
Book Reviews	G. T. and R. I. P. and W. P. B. and M. W. P. and O. M. P. and J. L. M. and B. R.	25-28
Advertisement	W. Heffer & Sons Ltd.	27
Advertisement	Bowes & Bowes	29
Advertisement	Deighton Bell	30
Advertisement	Gardenia Restaurant	30
Advertisement	University Typewriting Office Limited	30
Advertisement	Fitzbillies	31
Advertisement	Dean & Dawson Ltd.	31
Advertisement	Regent Restaurant	32
Advertisement	Florence Restaurant	32
Advertisement	The Archimedeans	32
Back matter	W. Heffer & Sons Ltd.	32-back cover

Eureka 19 (March 1957)

Editors: D. Monk

Article title	Authors	Pages
Front matter	D. Monk	front cover-2
Editorial	D. Monk	3
The Archimedeans	John L. Martin	3-4
Contributions	D. Monk	4
Postal Subscriptions and Back Numbers	D. Monk	4
The Theory of Games	Michael Hoskin	5-10
A Theorem on Prime Powers	C. T. C. Wall	10-11
An Elevation Puzzle	Antilog	11
The Problems Drive, 1956		12-14
Mathematical Association		14
Euclid's Elements	J. Leech	15-17
Letter to the Editor	J. R. Probert-Jones	17-18
A Problem on Grills	G. H.	18
Solutions to the Problems Drive		19
Solution to the Elevation Puzzle		19
Advertisement	Cambridge University Press	20
Book Reviews	C. N. L. and J. L. M.	21
Advertisement	Bowes & Bowes	22
Advertisement	Dean & Dawson Ltd.	23
Advertisement	Gardenia Restaurant	23
Advertisement	W. Heffer & Sons Ltd.	24
Advertisement	Florence Restaurant	24
Advertisement	The Archimedeans	24
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 20 (October 1957)

Editors: C. T. C. Wall

Article title	Authors	Pages
Front matter	C. T. C. Wall	front cover-2
Editorial	C. T. C. Wall	3-4
Archimedeans	J. M. Charap and C. T. C. Wall	5-6
Mathematical Music	Walter F. Bodmer	7-9
International Congress of Mathematicians, Edinburgh, 1958		9
A New Angle Trisector	G. B. Trustrum	10
A Question of Limits	H. T. Croft	11-13
A Trifle	Le Plessis	13
Problems Drive, 1957		14-17
Advertisement	University Typewriting Office Limited	17
Advertisement	Deighton Bell	17
A Valentine	J. G. B.	18
A Fundamental Proposition	A Very Twisted Cubic	18-19
A Pathological Function	J. D. Roberts	19
The $(\sigma, x, p)$ Problem	C. T. C. Wall	20-25
Mathematical Association		25
After Bathing	B. D. Ijonpo	25
Contributions	C. T. C. Wall	26
Postal Subscriptions and Back Numbers	C. T. C. Wall	26
Professor Besicovitch's Minimal Problem: A Challenge	Anthony Edwards	26-27
A Problem on Grills	G. H.	27-29
To C*I	I.	29
Solutions to the Problems Drive		29-30
Book Reviews	D. V. Lindley and H. McA. and H. P. F. S*D.	31-35
Advertisement	Cambridge University Press	32
Advertisement	Oliver and Boyd	34
Books Received		35
Advertisement	W. Heffer & Sons Ltd.	36
Advertisement	Florence Restaurant	36
Advertisement	The Archimedeans	36
Advertisement	Gardenia Restaurant	37
Advertisement	Bowes & Bowes	37
Advertisement	K. P. Camera Shop	38
Advertisement	Dean & Dawson Ltd.	38
Back matter	W. Heffer & Sons Ltd.	38-back cover

Eureka 21 (October 1958)

Editors: C. T. C. Wall; editorial committee P. V. Landshoff and D. M. Blackburn and G. J. S. Ross

Article title	Authors	Pages
Front matter	C. T. C. Wall	front cover-2
Editorial	C. T. C. Wall	3-4
The Archimedeans	P. V. Landshoff	4-5
The Explorer's Problem	I. C. Pyle	5-7
An Elevation Puzzle		7
Our Founder	H. T. Croft	7-9
Contributions	C. T. C. Wall	9
A Function with an Infinity of Saddle Points	Martin Fieldhouse	10-11
Mathematical Association		12
The Cross-Stitch Curve	M. W. Birch	12-13
Lebesgue's Minimal Problem	H. S. M. Coxeter	13
Problems Drive, 1958		14-16
Postal Subscriptions and Back Numbers	C. T. C. Wall	16
Brains Trust	D. M. B.	17-18
Definitions		18
Trio	S. Simons	19-21
Crossword Puzzle	G. J. S. Ross	22-23
A Fable	F. M. Hall	23-25
Traffic Jams	Anthony Bayes	25-26
Construction of Centre of Curvature on a Conic	C. C. L. Sells	26-27
A Shorter Short History of Mathematics	Flower	28-29
Solution to Elevation Puzzle		29
Solutions to Problems Drive		30
Book Reviews	R. Schwarzenberger and C. T. C. Wall and C. Hunter and D. A. Nield and H. T. Croft and M. Fieldhouse and F. P. Bretherton and A. J. Hearnshaw	31-36
Advertisement	Cambridge University Press	33
Books Received		36
Advertisement	K. P. Camera Shop	back cover
Advertisement	Florence Restaurant	back cover
Advertisement	The Archimedeans	back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 22 (October 1959)

Editors: Martin Fieldhouse

Article title	Authors	Pages
Front matter	Martin Fieldhouse	front cover-2
Editorial	Martin Fieldhouse	3
The Archimedeans	G. J. S. Ross	3-4
Mathematical Association		4
Postal Subscriptions and Back Numbers	Martin Fieldhouse	4
Constructing Open Knight's Tours Blindfold!	R. C. Read	5-9
The Computer Revolution	Martin Fieldhouse	9-11
A Question of Limits: II	H. T. Croft	11-13
Numerical Square	A. H. Barrass	13
Tow Matrix Problems	Max Rumney	13
Whewell's Ale Caucus Race		14-15
Problems Drive, 1959	M. R. Boothroyd and J. H. Conway	15-17
Crossword	G. Berry	18-19
Chessmas	R. Schwarzenberger	19-20
Vipers, Logs and All That	G. J. S. Ross	20-21
Solutions to Problems	G. J. S. Ross and A. H. Barrass and M. R. Boothroyd and J. H. Conway	22-23
Explorer's Problem	Martin Fieldhouse	23
Advertisement	Scurfield	23
Advertisement	Cambridge University Press	24
Book Reviews	L. J. Slater and B. E. Johnson and K. R. McLean and J. E. Roberts and M. F.	25-28
Advertisement	District Bank Limited	inside back cover
Advertisement	K. P. Camera Shop	back cover
Advertisement	W. Heffer & Sons Ltd.	back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 23 (October 1960)

Editors: Martin Fieldhouse

Article title	Authors	Pages
Front matter	Martin Fieldhouse	front cover-2
Editorial	Martin Fieldhouse	3
The Archimedeans	P. H. Frost	3-4
Mathematical Association		4
Postal Subscriptions and Back Numbers		4
Guillver in Applyland	Karl Menger	5-8
Squaring the Bishop		8
Group Theory in the Sixth Form	F. M. Hall	9-10
Printing Mathematics	Peter Basnett	11-13
Pentominoes	J. C. P. Miller	13-16
A Computer Program for Pentominoes	C. B. Haselgrove and Jenifer Haselgrove	16-18
Connected Masses	D. C. Cross	18-20
The Long Count	N. Seudopym	20-22
Some Little Naggers	H. T. Croft and S. Simons	22
Problems Drive, 1960	G. J. S. Ross and M. Westwood	23-25
Advertisement	Deighton Bell & Co. Ltd.	25
Solutions to Problems	G. Berry and G. J. S. Ross and M. Westwood	26
A Correction	D. E. Daykin	26
Advertisement	Bowes & Bowes	27
Advertisement	Friar House	27
Advertisement	Miller's	27
Advertisement	Cambridge University Press	28
Book Reviews	J. Ireland and M. Fieldhouse and P. Whittle and D. H. Fowler and H. K. Moffatt and A. R. Patterson and W. Kahan and D. T. Jack and F. M. Hall and R. Schwarenberger	29-36
Advertisement	Oliver and Boyd	32
Advertisement	G. Bell & Sons Ltd.	35
Answers to the problems on page 22	H. T. Croft and S. Simons	36
Advertisement	District Bank Limited	inside back cover
Advertisement	K. P. Camera Shop	back cover
Advertisement	W. Heffer & Sons Ltd.	back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 24 (October 1961)

Editors: A. M. J. Davis

Article title	Authors	Pages
Front matter	A. M. J. Davis	front cover-2
Editorial	A. M. J. Davis	3
The Archimedeans	M. W. Thomas	3-4
A Schoolmaster's Mathematics	F. M. Hall	4-5
Follow That Car!	E. O. Tuck	6-7
Relations	J. F. Harper	8-9
Love Under the Integral Sign	A. H. Faulkner	9-10
EDSAC to the Rescue	B. D. Josephson	10-12
The Gulf Stream	Kathleen Johnson	12-13
A Method for Calculating Partitions	M. Rowan-Robinson	14-15
Letter to the Editor	Mary Hartley	15-16
Another Basic Theorem	A Degenerate Singularity	16-18
wordgame	Robin	19
Advertisement	Friar House	19
Problems Drive 1961	B. D. Josephson and J. M. Boardman	20-22
Advertisement	Deighton Bell & Co. Ltd.	21
A Dimensional Howler		22
The Bishop Squared	A. M. J. Davis	23
Mathematical Association		23
Problems Drive Solutions	B. D. Josephson and J. M. Boardman	24
Advertisement	Oxford University Press	25
Advertisement	Miller's	25
Advertisement	Bowes & Bowes	25
Advertisement	Cambridge University Press	26
Book Reviews	P. Pleasants and M. Moss and F. P. Bretherton and K. Johnson and J. C. Alexander and P. C. Chatwin and J. Faulkner and R. E. Harte and J. J. McCutcheon and D. B. Pearson and A. M. J. Davis and T. G. Murphy and T. T. West and C. W. Cryer	27-32
Postal Subscriptions and Back Numbers	A. M. J. Davis	32
Solution to Chessboard Dissection Puzzle	B. D. Josephson	32
Advertisement	District Bank Limited	inside back cover
Advertisement	K. P. Camera Shop	back cover
Advertisement	W. Heffer & Sons Ltd.	back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 25 (October 1962)

Editors: R. W. Bray

Article title	Authors	Pages
Front matter	R. W. Bray	front cover-2
Editorial	R. W. Bray	3
The Archimedeans	I. B. Taylor	3-4
Squares and Circles		4
The Calculation of Partition Numbers	J. A. Tyrrell	5-6
The M-F Relationship as a Positive Feedback System	C. D. Rodgers	7-9
Growth	Ham	10-12
Postal Subscription and Back Numbers	R. W. Bray	12
Some Notes on Solitaire	J. D. Beasley	13-18
$\pi$ in Four 4's	J. H. Conway and M. J. T. Guy	18-19
Problems Drive 1962	R. L. Hutchings and J. D. Blake	20-21
Elastic Waves in Geophysics	C. C. L. Sells	21-23
Letter to the Editor	H. J. Croft and P. V. Landshoff	23-24
Advertisement	G. Bell & Sons Ltd.	25
Advertisement	W. Heffer & Sons Ltd.	25
Advertisement	Cambridge University Press	26
Book Reviews	A. R. Pargeter and W. B. R. Lickorish and J. F. Harper and P. Dunne and D. H. Peregrine and G. B. Trustrum and C. D. Rodgers and R. W. Bray and L. Todd and K. Johnson and M. Cockrill and J. D. P. Meldrum and R. J. Jarvis and A. M. J. Davis	27-34
Advertisement	Hafner Publishing Company Ltd.	31
Solutions to Problems	R. L. Hutchings and J. D. Blake	34-35
Mathematical Association		35
Advertisement	Deighton Bell & Co. Ltd.	36
Advertisement	Bowes & Bowes	36
Advertisement	The Archimedeans	36
Advertisement	District Bank Limited	inside back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 26 (October 1963)

Editors: P. M. Lee

Article title	Authors	Pages
Front matter	P. M. Lee	front cover-2
Editorial	P. M. Lee	3
The Archimedeans	P. A. Rado	3-4
A New Integral		4
Mathematical Economics	F. Marzano	5-8
An Olde Fairy Theorem	Anon	8-9
Hmm...		9
Problems Drive 1963	L. S. Harris and J. M. Northover	10-12
An Unsolved Problem	Max Rumney	12
Postal Subscriptions and Back Numbers	I. B. Taylor	12
Weighing the Evidence	A. D. McLaren	13-16
The Models Underlying Actuarial Techniques	S. Benjamin	16-18
Lattices	A. J. T. Davie	19-21
Lucas Functions	J. C. Amson	21-25
Mathematical Association		25
Mock Advertisement	Vector Value Ltd.	26
Book Reviews	P. M. Lee and R. W. Bray and C. D. Rodgers and R. E. Harte and R. M. Loynes and M. St. C. Oakes and L. Todd and A. J. T. Davie and T. T. West and R. E. H. and A. M. J. Davis	27-30
Advertisement	W. Heffer & Sons Ltd.	31
Advertisement	Bowes & Bowes Science Bookshop	31
Problems Drive Solutions	L. S. Harris and J. M. Northover	32
Advertisement	Cambridge University Press	inside back cover
Advertisement	District Bank	back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 27 (October 1964)

Editors: P. M. Lee

Article title	Authors	Pages
Front matter	P. M. Lee	front cover-2
Advertisement	District Bank	inside front cover
Editorial	P. M. Lee	3
Greetings	H. Davenport and Arthur Jackson and E. P. Hicks and Jessie MacWilliams (née Collinson)	3-4
The Archimedeans	M. A. Miller	4-6
Problems Drive 1964	M. S. Paterson and J. E. Hearnshaw	6-8
Mathematical Association		8
Untitled quotation (Eureka 17)		8
Mathematics and Games (Eureka 2)	P. M. Grundy	9-11
Postal Subscriptions and Back Numbers		11
Mathematics in Wartime (Eureka 3)	G. H. Hardy	12-15
Advertisement	Bowes' Science Bookshop	15
What is a Mathematician? (Eureka 4)	Harold Jeffreys	16-18
The Euclidean Spook (Eureka 5)	D. B. Scott	18-21
The Faking of Genetical Results (Eureka 6)	J. B. S. Haldane	21-24
Greek Metamathematics (Eureka 13)	N. A. Routledge	24-26
Professor A. S. Besicovitch (Eureka 15)	M. F. A.	26-28
Untitled quotations (Eureka 15 and 7)		28
Why are Series Musical? (Eureka 16)	Blanche Descartes	29-31
A Pathological Function (Eureka 20)	J. D. Roberts	31
Our Founder (Eureka 21)	H. T. Croft	32-34
Vipers, Logs and All That (Eureka 22)	G. J. S. Ross	34-35
Fermat's Last Theorem (Eureka 9)		35
A Very Short History of Mathematics (Eureka 12)	W. W. O. Schlesinger and A. R. Curtis	36-38
A Song ... Against Mathematicians (Eureka 17)	D. Handscomb	38
Problems Drive Solutions	M. S. Paterson and J. E. Hearnshaw	39-40
Advertisement	W. Heffer & Sons Ltd.	40
Book Reviews	J. Oliver and D. J. Daley and J. M. O. Speakman and J. Haigh and P. B. Goldstein and I. B. T. and P. M. Lee	41-44
Advertisement	Cambridge University Press	inside back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 28 (October 1965)

Editors: I. N. Stewart

Article title	Authors	Pages
Front matter	I. N. Stewart	front cover-2
Advertisement	District Bank	inside front cover
Editorial	I. N. Stewart	3
The Archimedeans	R. H. J. Harris	3-4
Postal Subscriptions and Back Numbers	J. C. Barlow	4
Transcendental Numbers	C. J. Myerscough	5-8
Mathematical Association		8
Problems Drive	I. N. Stewart	9-11
Three	Peregrine	11
Parallel Curves	D. R. Woodall	12-18
An Uncommonly Pathological Recurrence Relation	Roger Helmer	18-23
Partitions and Divisor-sums	J. L. Dawson	24-25
Hence	Dustcartes	25-26
Book Reviews	J. L. Dawson and P. G. Dixon and P. M. Lee and J. H. Webb and C. L. Thompson and I. N. Stewart and R. Jones and R. L. Jacobs and A. E. Barnshaw	27-32
Advertisement	Bowes' Science Bookshop	32
Solutions to Problems	I. N. Stewart and Peregrine	inside back cover
Back matter	W. Heffer & Sons Ltd.	back cover

Eureka 29 (October 1966)

Editors: Colin Myerscough

Article title	Authors	Pages
Front matter	Colin Myerscough	front cover-3
Advertisement	District Bank	inside front cover
Editorial	Colin Myerscough	3-4
Double Doppler	W. H. McCrea	5-8
Hochsplödjzgass!!	H. T. Croft	9
TITAN	D. W. Barron	10-11
The Fibonacci sequence	J. W. Porter	11-13
Groups of exponent 2	I. N. Stewart	13-14
A space-filling article		14
Art by computer	J. L. Dawson	15-18
Then as Now	Martin Fieldhouse	15
Problems Drive 1966	D. Mollison	19-20
SPUDSAC I	Ruuny Dustcartes	21
Problem Competition	Colin Myerscough	22-25
Topological equivalents of the axiom of choice	P. G. Dixon	26-30, 40
Advertisement	National Provincial Bank	31
The Archimedeans	R. S. A. Tuff	32
Mathematical Association		32
Problems Drive Solutions	D. Mollison	33
Book Reviews	E. Jenkins and C. J. Myerscough and M. A. Lewis and I. N. Stewart and J. S. Dennis and T. W. Cusick and M. K. Ayres and P. G. Dixon and J. H. Webb and S. M. Negrine and C. L. Thompson and D. G. Kendall and P. J. Bussey	33-40
Advertisement	Cambridge University Press	inside back cover
Advertisement	Bowes' Science Bookshop	inside back cover
Advertisement	Central Electricity Generating Board	back cover
Back matter	Unwin Brothers Limited	back cover

Eureka 30 (October 1967)

Editors: C. J. Myerscough

Article title	Authors	Pages
Front matter	C. J. Myerscough	front cover-1
Advertisement	District Bank	inside front cover
Advertisement	IBM United Kingdom Limited	2
Editorial	C. J. Myerscough	3-4
The First Book of Moses, commonly called Genesis, in a new unauthorized rerevised non-standard version	King James I.V	4
A Toroidal Twister	I. N. Stewart	5
Beltrami or Force-Free Fields	V. C. A. Ferraro	6-7
Get Knotted!	A. G. Smith	8-10
Mathematics and the Physical Sciences	P. J. Bowler	10-12
Mock Advertisement	Vector Value Ltd.	12
Advertisement	National Provincial Bank	13
Networks and Squared Squares	G. H. Morley	14-16
Problems Drive 1967	A. G. Smith and P. N. Toye	16-18
Rotating a Cube by Computer	B. M. Thompson and A. G. McKernan	18-19
Advertisement	Bowes' Science Bookshop	20
Knotung	A. G. Smith	20
Der Ring der Algebrungen	A. G. Smith	21-22
Incidence Incidents	H. T. Croft	22-26
Leave it to Aunt Minnie	I. N. Stewart	27-31
The Paradox of the Surprise Examination	D. R. Woodall	31-32
Problems Drive Answers	A. G. Smith and P. N. Toye	32-33
The Archimedeans	A. C. Norman	34
Mathematical Association		34
Book Reviews	C. J. Myerscough and R. J. Triance and P. G. Dixon and D. Stanford and A. Bainbridge and C. L. Thompson and M. K. Ayres and J. Filochowski and D. H. D. Warren and P. D. Cooper and A. Kaletzky and P. J. Bussey and G. D. Paterson and D. G. Cooper and J. R. Mason	35-40, 26
Advertisement	Imperial Chemistry Industries Ltd.	inside back cover
Advertisement	Central Electricity Generating Board	back cover
Back matter	The Gresham Press	back cover

Eureka 31 (October 1968)

Editors: J. J. Barrett

Article title	Authors	Pages
Front matter	J. J. Barrett	front cover-1
Advertisement	District Bank	inside front cover
Advertisement	Bowes' Science Bookshop	2
Editorial	J. J. Barrett	3-4
Logique mathématique et logistique militaire	Paul Laguerre and Naomi Laguerre	4
A Question of Cubes	C. V. Durell	4
Mathematics and Evolution	Cedric A. B. Smith	5-7
Two Crossnumber Puzzles		8-9
Edinburgh University Physical Society		9
Fingers Out		9
Snowflake Tetrahedra	P. T. Johnstone	10-13
Regular Polytopes	D. G. Hayes	14-17
The Archimedeans	P. E. Smith	17-18
Some Problems	H. T. Croft	18-19
The Brains Trust on Mathematics Teaching, March 1968	P. T. Johnstone	19-21
Problems Drive 1968	A. K. Manning and B. J. Scorer	22-23
Impossible Objects	D. R. Woodall	23-27
The Cambridge SRC Maths Teaching Committee	C. J. Myerscough	27
Advertisement	National Provincial Bank	28
La coloration des cartes	Blanche Descartes and Rose Descartes	29-31
Solutions to Problems	I. N. Stewart and H. T. Croft and C. V. Durell and A. K. Manning and B. J. Scorer	31-34
Mathematical Association		34
Book Reviews	C. Bamford and M. Pemberton and R. T. Eddleston and C. D. Evans and G. R. Farren and J. Filochowski and J. S. Grant and P. O. Gershon and D. R. Grey and S. N. H. Mackie and S. G. Newton and C. R. Prior and I. H. Rose and G. I. T. and A. G. Tristram and B. M. Thompson and P. M. Lee and B. P. McGuirk and M. A. Lewis and C. J. Myerscough and D. C. Joyce and P. G. Dixon and J. J. Barrett	34-44
Advertisement	Dover / Constable	39
Advertisement	Cambridge University Press	inside back cover
Advertisement	Central Electricity Generating Board	back cover
Back matter	The Gresham Press	back cover

Eureka 32 (October 1969)

Editors: C. R. Prior

Article title	Authors	Pages
Front matter	C. R. Prior	front cover-1
Editorial	C. R. Prior	1
An Alphametric	J. A. H. Hunter	1
Hopes and Fears	P. A. M. Dirac	2-4
A Genetical Application of Homogeneous Coordinates	A. W. F. Edwards	5-9
Two Problems on Cubes	H. T. Croft	9-12
Fermat's Last Theorem and the Golden Mean	R. W. M. Wedderburn	12-14
The Multiplicator	W. F. A. Chambers	14-16
A Shuffling Problem	P. T. Johnstone	17-18
Uniform Curves and Surfaces	D. G. Hayes	19-23
A Further Examination of the 'Surprise Examination Paradox'	C. Hudson and A. Solomon and R. Walker	23-24
John Adams (A Gothick Necromance)	A. G. Smith and P. E. Smith	24-25
The Archimedeans	S. J. Turner	25-26
Movement without Speed	K. J. Evans	26-28
Mathematical Association		29
Polyhedra	A. G. Smith	29-32
On Writing Text-Books	W. L. Ferrar	33-34
Problems Drive 1969	R. G. Newcombe and K. Loveys	34-36
Book Reviews	A. F. Champernowne and G. Leversha and J. J. Barrett and C. J. Myerscough and P. M. Lee and P. E. Jupp and B. R. Goalby	36-39
Solutions to Problems	J. A. H. Hunter and R. G. Newcombe and K. Loveys	40
Advertisement	Oxford University Press	inside back cover
Advertisement	Bowes' Science Bookshop	inside back cover
Advertisement	Central Electricity Generating Board	back cover
Back matter	Unwin Brothers Limited	back cover

Eureka 33 (October 1970)

Editors: A. N. Kemmer

Article title	Authors	Pages
Front matter	A. N. Kemmer	front cover-1
Editorial	A. N. Kemmer	1
Inertial Navigation	M. J. Lighthill	2-6
A Triangular Problem		6
The Marriage Problem	D. R. Grey	7-8
Two Problems		8
A Moving Story	K. Andrews and N. J. Davis	9
Double Six	W. L. Edge	10-12
The Quadratic Equation	E. A. Maxwell	13-14
Problem for Poultry Farmers		14
It's a Plot!		15
The Archimedeans	Oliver Reid	15-16
Ships and Eigenvalues	D. Rees	16-18
Ohm Sweet Ohm		19
The Optimum Size for an Establishment	H. W. O. Petard	19-21
What Price Virtue?		21
The Football League Eigenvector	J. R. Gillett	22-23
The Numerical Range of an Operator	F. F. Bonsall	24-27
The Mathematical Association		28
Equivalence Relations and Scholarship Problems	$\beta$	28-30
Solutions to Problems		30-31
Book Reviews	K. McCoy and P. J. Bussey and J. J. Barrett and B. P. McGuirk and D. R. Grey and P. O. Gershon and M. A. Lewis and C. J. Myerscough and J. L. Dawson and W. J. Ellison and I. N. Stewart and A. Kaletzky and P. G. Dixon and D. C. Joyce and C. D. Evans	31-36
What is it?		inside back cover
Back matter	A. N. Kemmer	back cover

Eureka 34 (October 1971)

Editors: Ian McCredie

Article title	Authors	Pages
Front matter	Ian McCredie	front cover-1
Editorial	Ian McCredie	1-2
The History of an Invention	G. I. Taylor	3-6
Analyse Mathematique des Formes des Monnaies	Paul Laguerre and Naomi Laguerre	6
Quickie		6
Examination Technique	C. J. Myerscough	7-10
On and	D. P. Dalzell	10-13
Beat the Clock!		13
Snaedemihcra?		14
Magic Money		14
A Cambridge Look at Life	M. Neave and C. Hones	15-19
Some Notes on the Mathematical Work of Albrecht Durer (1471-1528)	R. J. Steemson	20
Queens		20
The Knitting of Surfaces	M. O. Reid	21-26
The Archimedeans	Simon Anscombe	26
A Criticism of the Football League Eigenvector	D. R. Woodall	27-28
The Optimal Size of an Organization	I. J. Good	28-30
Division of a Square into Rectangles	Blanche Descartes	31-35
The Mathematical Association		36
Aggro!		36
Untitled problem		36
On Badly Behaved Fish Fingers	D. R. Woodall	37-39
Magic Square		40
Solutions to Problems		40-41
Book Reviews	J. P. Conlon and A. Iny and R. M. R. Brewis and S. B. Dunnett and G. S. Lucas and Paul Henry and C. W. Monckton and Grant Keady and R. Bowler and E. A. Workman and C. J. Slinn	41-48
Tristar		inside back cover
Back matter	Cambridge Instantprint Ltd.	back cover

Eureka 35 (October 1972)

Editors: Joseph Conlon

Article title	Authors	Pages
Front matter	Joseph Conlon	front cover-1
Editorial	Joseph Conlon	1-2
An Alphametric		2
Prime Numbers and Brownian Motion - The 1972 Rouse Ball Lecture	P. Billingsley	3-17
Two Problems		17
Relativistic Doppler Effect for Photons	D. R. Bates	18-20
The Archimedeans	Michael Barnes	20-21
The Equation (x² - 1)(y² - 1) = (z² - 1)²	K. Szymiczek	21-25
Geometrical		25-26
Euleriana	Bertha Jeffreys	26-30
When I Went a Rowing		30
Geometry by Computer	M. S. Longuet-Higgins	30-33
Once Upon a Time		33
A New Proof that the Invariant Polygroups are Isomorphic to the Quasitropic Set of Antisymmetric Hedroids, with an Application to the Theory of Dynamics in Spaces of Uncountable Dimension	B. G. Smith and R. J. Collins	34-35
Several Complex Variables	G. R. Allan	36-37
It's a Knockout!		37-38
Where Did I Leave That Arsenic? or, Sequential Search Procedures	P. Whittle	38-41
Solving the Cubic Equation	Marius Iosifescu	42-44
The Mathematical Association		44
The Burnside Problem	Ian Stewart	44-48
Book Reviews	I. F. McCredie and R. C. Wheeler and P. G. Henry and T. P. Hynes and Richard Clayton and M. Pemberton and P. G. Williams and B. G. Smith and C. J. Slinn and Janet Haig and I. S. Wilson	48-53
Solutions to Problems		54
Back matter	William Clowes & Sons Limited	back cover

Eureka 36 (October 1973)

Editors: David J. Miller; sub-editor Colin Vout

Article title	Authors	Pages
Front matter	David J. Miller	front cover-1
Errata to Eureka 35	David J. Miller	inside front cover
Footnote to "Well-Founded Games"	David Fremlin	inside front cover
Recent results of Pfister about Sums of Squares	J. W. S. Cassels	2-7
Where are the Zeros of Zeta of S?	Tom Apostol	7-8
Optimal Card-Shuffling	M. J. Mellish	9-11
Autobiographical	W. L. Ferrar	11-14
Annual Report of the Archimedeans	K. A. Moore	14
Annual Report of the Snaedemihcra	Andrew White	14-17
Instabilities due to Dissipation	E. J. Hinch	17-18
Randomly Collecting Sets of Objects, or ... it's another Spear-Thrower!	Colin Vout	18-20
Problems Drive	D. J. Aldous and N. H. G. Mitchell	20-22
Some Critical Points	Manfred Gordon	22-26
Notational Note	D. J. Miller	26-27
Ode to the Negative Gaussian Curvature of Potato Crisps	Colin Vout	27-28
Tomorrow is the day after Doomsday	J. H. Conway	28-31
Triangles	Bernard Silverman and Paul Marx	31-32
Well-Founded Games	David Fremlin	33-37
y² + D = x⁵	Bernard M. E. Wren	37-38
Another Proof of the Pythagorean Proposition	Arjun Tan	38-40
A New Geometry	D. M. Behrend	40-44
On the Distribution of Decimal Digits in n!	S. P. Castell	44-47
Orthogonull Matrices	Tim Poston	47-48
Editor's Acknowledgments	David J. Miller	48
Answers to the Problems Drive	D. J. Aldous and N. H. G. Mitchell	inside back cover
Advertisement	Oliver & Boyd	back cover
Back matter	Unwin Brothers Limited	back cover

Eureka 37 (October 1974)

Editors: R. G. E. Pinch; sub-editor T. J. Lyons

Article title	Authors	Pages
Front matter	R. G. E. Pinch	front cover-1
Editorial	R. G. E. Pinch	2
Archimedeans	Angela Hey	2
Mellin Transforms	K. J. Evans	3-6
Letters	G. H. Toulmin and N. H. G. Mitchell	7
Problems Drive	Colin Vout and Martin Brown	8-11
Exchanges	R. G. E. Pinch	11
Fluids & Geometry	M. K. Jeeves	12-14
Noughts & Crosses	S. J. Taylor	14-18
And Now ...	Nigel Black	19-20
Snaedemihcra?	Charles Bogle	20
Functional Equations	K. J. Falconer	21-23
Recursion		23
Acknowledgements	R. G. E. Pinch	23
The Cups Problem	M. Brown	24-26
3 Problems	Denis Thicket	26
How to toss a coin	A. Smith	27-28
Snaedemihcra!	Charles Bogle	28
Book Reviews	CB and MKJ and RGEP	29-30
Talmudic Logic	W. Felder	31-32
Answers	Colin Vout and Martin Brown	inside back cover-32
Advertisement	Oxford University Press	back cover

Eureka 38 (1975/76)

Editors: Richard Pinch

Article title	Authors	Pages
Front matter	Richard Pinch	front cover-1
Editorial	Richard Pinch	2
Consecutive Integers	P. Erdos	3-8
The Archimedeans	H. G. Stark	9-10
Alphametic Problems	J. R. Partington	10
Amazing!	E. J. Anderson	11-15
Problems	A. Hadden	16-17
Mechanical Geometry	Clint O'Vou	18-20
Exchange	Colin Vout	21-24
Solutions	A. Hadden	inside back cover
Back matter	Bluebell Printing Co. Ltd.	back cover

Eureka 39 (April 1978)

Editors: A. J. Wassermann and R. C. Mason

Article title	Authors	Pages
Front matter	A. J. Wassermann and R. C. Mason	front cover-1
Editorial	A. J. Wassermann and R. C. Mason	2
Subscriptions	A. J. Wassermann and R. C. Mason	2
Infinite-Dimensional Vector Spaces	J. R. Ringrose	3-12
Archimedeans	Roger Dix	13-14
The Disappointing Mean Circle	J. J. Hitchcock	14-15
Pentaplexity	R. Penrose	16-22
Little Arrows	P. T. Johnstone	23-28
How to Study Maths	A. Mammoth	28
Homological Knot Theory in the Context of an Expanding Economy	E. Grimshaw	29-31
Mathematical Cambridge		32-33
Cambridge Mathematics since 1910	Harold Jeffreys and Lady Jeffreys	34-37
Untitled problem		37
Problems Drive 1977	J. Mestel	38-40
Magdelene	O. L. C. Toller	40
Ramsey Problems in Euclidean Geometry	B. Bollobás	41-45
Untitled problem		45
The Thirteen Spheres Problem	A. J. Wassermann	46-49
Untitled problem		49
Magnetic Monopoles	P. Goddard	50-52
et in Cantabrigiense ego ...	Ambrose Bonwicke	53
Pell's Equation	R. C. Mason	54-56
Lecture-Dynamics	P. Verschueren	57-59
Untitled problem		59
Untitled problem		59
Book Reviews	O. L. C. Toller and M. C. Davies and A. M. Tonge and B. R. Tennison and M. R. Kipling and C. M. Noble	60-63
Solutions to Problems Drive	J. Mestel	64

Eureka 40 (June 1979)

Editors: R. C. Mason

Article title	Authors	Pages
Front matter	R. C. Mason	front cover-1
Acknowledgements	R. C. Mason	2
Subscriptions	R. C. Mason	2
aⁿbⁿ = (ab)ⁿ	I. N. Herstein	3-7
Quantum Gravity	S. W. Hawking	8-11
The Irrationality of $\zeta(3)$	A. Baker	12-14
On Wallpaper	S. J. Patterson	14-20
The Unification of Weak and Electromagnetic Interactions	J. C. Polkinghorne	21-23
Chatterton's Folly	M. C. Davies	24-25
Some Applications of Probability Theory	D. J. H. Garling	26-27
Problems Drive	J. R. Rickard and J. J. Hitchcock	28-29
Two Theorems on the Kepler Ellipse	A. Tan	30-32
The Archimedeans	M. R. Kipling	33
Knottiness	W. B. R. Lickorish	34-39
Solutions to Problems Drive	J. R. Rickard and J. J. Hitchcock	40

Eureka 41 (Summer 1981)

Editors: C. N. Corfield and R. M. Durbin

Article title	Authors	Pages
Front matter	C. N. Corfield and R. M. Durbin	front cover-1
Editorial	C. N. Corfield and R. M. Durbin	2
Advertisement	Bowes & Bowes Books	2
The Archimedeans 1980/1	Paul Taylor	3-4
A Sense of History	Chris Budd	4
The Mathematical Association	Douglas Quadling	5
Problems Drive 1980		6-7
Is The Sun A Clock?	D. O. Gough	8-13
Summer Fun	G. N. Old	14-16
Central Force Orbits Under Different Power Laws	A. Tan	17-22
Joint Spectra	G. R. Allen	23-25
Hydrodynamics With Random Geometry	G. K. Batchelor	26-32
Almost All Games Are First Person Games	D. Singmaster	33-37
Impure Mathematics		38-39
On How To Simplify Mathematics	P. Freyd	40-42
Changing Variables	C. N. Corfield	43-45
The Hunting Of J₄	J. H. Conway	46-54
Problems Drive Answers		55

Eureka 42 (Summer 1982)

Editors: C. N. Corfield and R. M. Durbin

Article title	Authors	Pages
Front matter	C. N. Corfield and R. M. Durbin	front cover-1
Editorial	C. N. Corfield and R. M. Durbin	2
An Elementary Proof of $\sum_1^\infty 1/n^2 = \pi^2/6$	T. J. Ransford	3-4
On the College Societies	P. Taylor	5-7
Achieving the Skinny Animal	Frank Harary	8-14
Primes in Arithmetic Progressions	N. Boston	15-19
Pi and Pentagon	A. Tan	20-22
Lagrangians in Action	C. N. Corfield	23-26
The HO Scale Structure of Space-Time	C. J. Budd	27-29
kth Powers of the Roots of Polynomials	P. Taylor	30
The Liaison Group	P. Tompkins and P. Taylor	31-33
Problems Drive 1982	R. Pennington and N. Inglis	34-37
"Fox and Hounds" or "Kiddies' Körner"	R. Thetford	38-39
Enhancing Series	C. N. Corfield	40-42
Image Processing by Maximum Entropy	J. Skilling	43-47
Ordered Rings	P. Taylor	48-53
The Kit-Kat	D. McLean	54-57
Solutions to Problems Drive	R. Pennington and N. Inglis	58
The Society		59-60

Eureka 43 (Easter 1983)

Editors: N. Boston and C. J. Budd

Article title	Authors	Pages
Front matter	N. Boston and C. J. Budd	front cover-1
Editorial	C. J. Budd and N. Boston	2
Acknowledgements	N. Boston and C. J. Budd	2
The Archimedeans	J. Rickard	3-4
Errata in Edition Number 42	Frank Harary	5-6
Some Simple Games We Still Can't Solve	R. K. Guy	7-10
Problems Drive 1983	R. Kerry and J. Rickard	11-13
Nearly Abelian Groups	N. Boston	14-17
Letter to the Editors	Bertha Jeffreys	18-19
Topos Topics	P. T. Johnstone	20-26
Mathematical Call My Bluff	C. J. Budd	27-30
Geometrical Methods in Geometrical Optics	A. Tan	31-35
Editorial Note	N. Boston and C. J. Budd	35
Taking More To Heart The Society's Original Objects	P. Taylor	36-40
Nim for Three - an Overview and an Offer of Alcohol	J. Propp	41-46
The Boat Race - a Statistical Survey	G. A. Bancroft and D. J. Colwell and J. R. Gillett	47-52
Codes and Curves	J. F. Voloch	53-61
Solutions to Problems Drive	R. Kerry and J. Rickard	62-63
The Archimedeans Committee 1983-4	N. Boston and C. J. Budd	inside back cover
Back matter	Piggott Printers (Cambridge) Ltd.	back cover

Eureka 44 (Spring 1984)

Editors: Nigel Boston, Chris J. Budd and P. Taylor

Article title	Authors	Pages
Front matter	Nigel Boston and Chris J. Budd and P. Taylor	front cover-1
Editorial	Chris J. Budd	2
Acknowledgments	Chris J. Budd	2
The Society	Maxim I. Tingley	3
The puzzles of Lewis Carroll	R. Sabey	4-7
Colson News	Cedric A. B. Smith	7
Chromatic Polynomials: An alternative approach to the Four-Colour Theorem?	D. R. Woodall	8-12
Problems Drive 1981	Paul Taylor and Clive D. W. Feather	13-15
Egoritchev's proof of van der Waerden's conjecture	Béla Bollobás	16-24
Voidology Theory	W. J. R. Mitchell	25-29
Quantum Gravity	G. W. Gibbons	30-35
A Construction for Geometrical Optics	P. Taylor	36-38
Euclid's Algorithm - since Euclid	P. M. Cohn	39-45
Are You a Pure Mathematician?	C. J. Budd	46-50
The Decline and Fall of Euclid	D. Haskell	51-57
Sampled Functions	C. J. Budd	58-62
The Uniqueness of the Quaternions	P. Taylor	63-68
A new operation?	N. Boston	69-70
Answers to Problems Drive	Paul Taylor and Clive D. W. Feather	71

Eureka 45 (January 1985)

Editors: M. D. Coleman and P. Taylor and E. Welbourne

Article title	Authors	Pages
Front matter	M. D. Coleman and P. Taylor and E. Welbourne	front cover-1
Advertisement	Coopers & Lybrand	2
Editorial	Paul Taylor	3-4
The Triennial Dinner		4
On Seeing Things	Christopher H. Longuet-Higgins	5-7
Quote Quiz	Paul Taylor	8-10
Letter to the Editor	Cedric A. B. Smith	11-14
A point of contact between Mathematical Logic, Game Theory and Complexity Theory	Thomas E. Forster	15-20
The Society	Mike J. Newman	21
Problems Drive 1984	Andy J. Bernoff and Richard Pennington	22-24
Answers To The Quote Quiz	Paul Taylor	24
The Mathematical Association	Rolph L. E. Schwarzenberger	25
As Any Brontosaurus could tell you, It's not a Paradox	Eddy Welbourne	26-30
The Riemann Hypothesis	Mark D. Coleman	31-35
Clerihews	G. K. Sankaran	36-39
Why is there an Elementary Proof of the Fundamental Theorem of Algebra?	J. Martin E. Hyland	40-41
Gauss' Second Proof	Paul Taylor	42-47
Authors	M. D. Coleman and P. Taylor and E. Welbourne	48-49
Advertisement	Rex, Thompson & Partners	49
Answers to Problems Drive	Andy J. Bernoff and Richard Pennington	50
Advertisement	Thomson McLintock & Co	inside back cover
Advertisement	Oxford University Press	back cover

Eureka 46 (January 1986)

Editors: Edward Welbourne

Article title	Authors	Pages
Front matter	Edward Welbourne	front cover-i
Advertisement	Procter & Gamble	ii
Advertisement	Rex, Thompson & Partners	ii
Editorial	Edward Welbourne	1-3
Prelude	Miranda Mowbray and Richard Pennington and Edward Welbourne	4
The Weird and Wonderful Chemistry of Audioactive Decay	John H. Conway	5-16
The International School for Advanced Studies, Trieste	Dennis W. Sciama	17-18
Problems Drive	Paul Smith and Bob Dowling	19-23
Token Cynic	Bob Dowling	23-24
A Storm in a Teacup	Paul Matthews	25-29
The Society	The Last Recorder	30-31
Situations Vacant	Edward Welbourne	31-33
Was Descartes' mathematical physics Mathematical Physics?	Piers Bursill-Hall	34-44
Why 12 × 2 = 25	Ian White	45-46
Modelling using the Poisson Distribution	D. J. Colwell and J. R. Gillett	47-49
Conference	Douglas Quadling	50
Answers to the Problems Drive	Paul Smith	51-54
Loose Ends	Edward Welbourne	54-55
Back matter	Edward Welbourne	back cover

Eureka 47 (February 1987)

Editors: Neil Strickland

Article title	Authors	Pages
Front matter	Neil Strickland	front cover-1
Advertisement	Arthur Andersen & Co.	iii
Editorial	Neil Strickland	3
GO	Andrew Jones	4-6
The Ignorance of Bourbaki	A. R. D. Mathias	7-19
A Short History of Catastrophe Theory	Bob Dowling	20
Automorphism Groups	Tom Wilde	21-25
Mutterings	Bob Dowling	26-28
A Quick Plug For Groggs		29
Two Problems of Quantum Measurement	Jeremy Butterfield	30-44
Resistance rectangles	J. G. R. Levy	45-48
DPMMS & DAMTP	Neil Strickland	49-52
A Song of Six Splatts	Mark Owen and Matthew Richards	53-58

Eureka 48 (March 1988)

Editors: Simon Morris

Article title	Authors	Pages
Front matter	Simon Morris	front cover-i
Editorial	Simon Morris	1
Truth in Mathematics?	Simon Morris	2-6
The Society	Christopher J. Fewster	7
The Eccentricity of Mathematicians	John F. Bowers	8-14
Colouring Patterns of Squares (or, 101 uses for a very large chessboard)	Graham Nelson	15-18
Wit and Wisdom 1	Ruth Lilley and Bob Dowling and Ian Redfern and Alex Selby	19
The Power of Mathematics	Lynn Arthur Steen	20-26
Mathematics Has A Front And A Back	Reuben Hersh	27-31
Backgammon	Stuart Melbourne	32-33
The Propositional Calculus With Directed Graphs	Martin Gardner and Frank Harary	34-40
Wit and Wisdom 2	Ruth Lilley and Bob Dowling and Ian Redfern and Alex Selby	41
A General Survey of the Mathematical Philosophy of Immanuel Kant	Robert K. Clifton	42-54
Problems Drive	Chris Kilgour and Matthew Richards	55-56
Introduction to Doughalese	Douglas R. Hofstadter	57-64
An Introduction to Wargaming	Paul Fernandez	65-67
Academic Freedom - A Personal View of Life Beyond the PhD	John Skilling	68-70
Differentiation Rules, Okay	Clive Monk	71-80
Ramanujan - A Glimpse of His Life and His Mathematics	Béla Bollobás	81-98
Answers to Problems Drive	Chris Kilgour and Matthew Richards	99

Eureka 49 (March 1989)

Editors: Graham Nelson

Article title	Authors	Pages
Front matter	Graham Nelson	front cover-1
Editorial: Fifty Years of Eureka	Graham Nelson	2-4
Acknowledgements	Graham Nelson	4
The Society	Gerard F. Thompson	5
On Maximally Dense Forests	Matthew Richards	6-21
13, 31 and the 3x + 1 Problem	Frazer Jarvis	22-25
On the Epistemological and Metaphysical Problems of Probability	Alan Stacey	26-30
On Smarties and Time Travel; or Why you haven't got a time machine	William Hurwood	31-33
Problems Drive 1989	Marcus Moore and Alan Stacey	34-37
Mathematical Knowledge and Mathematical Understanding	Rolph Schwarzenberger	38-46
And God Said, " $0 \not\in N$ "	Tim Auckland	46
A Lattice of Topologies	Simon Morris	47-48
Chess Puzzle	Adam Chalcraft	48
A, B, C, D Problem	Luke Reader	48
On Phone Numbers and Diophantine Approximation	Christopher J. Fewster	49-55
Mathematical Limericks	Thomas Bending and Mark Wainwright	56-59
Archimedean Poetry		59
Not the Schedules for the Mathematical Tripos, 1988-9		60-61
Neutron	Helena Verrill	62-66
Back to Square One	Derek J. Colwell and John R. Gillett and Brian C. Jones	67-70
Interstice	Quinapalus	71
Single Vertex Graphs	Clive Monk	72-86
Solutions to Problems	Marcus Moore and Alan Stacey and Adam Chalcraft and Luke Reader	87-88
The Cover "Hausdorff Dale"	Tim Auckland	inside back cover

Eureka 50 (April 1990)

Editors: Mark Wainwright

Article title	Authors	Pages
Front matter	Mark Wainwright	front cover-2
Acknowledgements	Mark Wainwright	2
Editorial	Mark Wainwright	3-6
The Archimedeans	Colin Bell	7-8
Tris	Adam Chalcraft	9-11
Bulgarian Solitaire	Thomas Bending	12-20
The Creative Archimedean At Work		20
Call My Bluff	Stephen Turner	21-23
An Important New Result		23
Perestroika in the Maths Faculty	Heather Mendick	24-27
Problems Drive 1990	A. Frazer Jarvis and The Graham Nelson	28-33
Beyond the Vanishing Point	Ian Stewart	34-40
What Happens when an Engineer Learns some Maths; Or, On Archimedeans: A 16th-Century Tragi-Comedy	Piers Bursill-Hall	41-56
G.H. Hardy and Control Engineering	Jonathan R. Partington	57-59
Sir Michael Cometh		59
Unfair Games	Martin Baxter	60-68
A Logical Problem	Colin Bell	68
Debased	Quinapalus	69
On Large Numbers	Mark Wainwright	70-73
The Wobbler	Frederick Flowerday and David Singmaster	74-78
Clerihews	G. S. Murchiston	78
The Professor's New Book	Kevin Murphy	79-86
Book Reviews	Mark Wainwright and Tim Auckland and John Aspden	87-89
More Call My Bluff	Stephen Turner	90
Solutions to Problems Drive	Frazer Jarvis and Graham Nelson	91-92
Solution to "A Logical Problem"	Colin Bell	92
The Cover	Thomas Bending	back cover

Eureka 51 (March 1992)

Editors: Mark Wainwright

Article title	Authors	Pages
Front matter	Mark Wainwright	front cover-2
Acknowledgements	Mark Wainwright	2
Editorial	Mark Wainwright	3
The Archimedeans, 1990-1991	Michael Aird	4
Near Metric Theory	Paul Nicholls	5
Galois' Group	Amites Sarkar	6-12
Advertisement	Barclays Bank plc	13
Advertisement	The Engineering Council	13
Letter Addition and Doubly Self-Referential Haiku	Anton Cox	14-15
The Prisoner's Dilemma	Kevin P. Murphy	16-33
Tetris	Richard Tucker	34-35
Miss Warren's Profession	Graham Nelson	36-39
Free Market Maths	Paul Norridge	39
Problems Drive 1991	Michael Earnshaw and Tim Wilkins	40-43
Clerihews	A. Nomet	43
Some Unsolved Problems In Geometry, Number Theory and Combinatorics	Paul Erdös	44-48
Cross-Number	Ampenditus	48
What is Mac Lane missing?	A. R. D. Mathias	49-52
Book Reviews	Stephen Turner and Vin de Silva	53-54
More Clerihews	A. Nomet	54
Solutions to Problems Drive	Michael Earnshaw and Tim Wilkins	55-56
Limerick		inside back cover

Eureka 52 (March 1993)

Editors: Michael T. Greene

Article title	Authors	Pages
Front matter	Michael T. Greene	front cover-2
Acknowledgements	Michael T. Greene	2
Editorial	Michael T. Greene	3
Mathematical Verse	Dilip Sequeira and Dilip Sequeira and Michael Fryers	3
The Archimedeans	Vin de Silva	4
Strictly Rectangular Representations	Colin Bell	5-13
A Logical Puzzle	Anton Cox	14
The Gromov Distance or Isometry up to $\epsilon$	Roger Hendrickx	15-22
Problems Drive 1992	Vin de Silva and Oliver Riordan	23-27
Let's Draw the Integers	The Faculty	28-29
Flexagons	Vin de Silva	30-44
An Infinite Grammatical Solecism	John Beasley and Mark Wainwright	45
Crux Numerorum	Ampenditus	45
Complex Bases	Adam Chalcraft	46-52
Book Reviews	Anton Cox and Vin de Silva and Daniel Denman	53-54
Solutions to Problems Drive	Vin de Silva and Oliver Riordan	55-56
The Cover	Michael Greene and Richard Tucker	inside back cover

Eureka 53 (February 1994)

Editors: Colin Bell; assistant editor Mark Walters

Article title	Authors	Pages
Front matter	Colin Bell and Mark Walters	front cover-1
Editorial	Colin Bell and Mark Walters	2-3
The Archimedeans	Patricia Smart	4
Train Sets	Adam Chalcraft and Michael Greene	5-12
Representations as Sums of Squares	Mark Walters	13-15
Fractional Iterations of Functions	Robin Michaels	16-23
Gess the Game	Paul Bolchover	24-27
A Mathematical Interlude	The Faculty	28-29
Problems Drive 1993	Timothy Luffingham	30-32
CUMLL Annual Report	Mark Wainwright	33-35
The Gyroscope	Kosuke Odagiri	36-43
How to be a Good Lecturer	Jonathan Partington	44-45
On Postulates of a Group	Jingcheng Tong	46-47
Solving Polynomials	Jamie Gabbay	48-52
A Result in Metrical Space Theory	Michael Fryers	53
Density and Tides	Duncan Cochrane	54
A Cross-No.	Negipnu the Scribe	54
Solutions to the Problems Drive	Timothy Luffingham	55-56

Eureka 54 (March 1996)

Editors: Alan Bain

Article title	Authors	Pages
Front matter	Alan Bain	front cover-1
Editorial	Alan Bain	2
The Society 1993-1994	Eva Myers	2-3
The Society 1994-1995	Sean Blanchflower	3
One-Dimensional Tilings	Michael Greene and Robin Michaels	4-13
Tatami Mats	Adam Chalcraft	13
The Principle of Least Action	Mark Hayes	14-19
Problems Drive 1994	Colin Bell and Michael Fryers	20-24
Sokoban	Michael Fryers and Michael Greene	25-32
Train Sets Conjecture Disproved	Clive Monk	32
Lectures You May Have Missed		33
Juggling Generators	Adam Chalcraft	34-37
1995 Problems Drive	Luke Pebody and Richard Tucker	38-41
The Bluffer's Guide to Poker	Mark Wainwright	42-47
A Voting Problem	Eva Myers and Joseph Myers	48-52
Solutions to the Problems Drives	Colin Bell and Michael Fryers and Richard Tucker and Luke Pebody	53-56

Eureka 55 (June 2001; second printing April 2002)

Editors: Alan Bain

Article title	Authors	Pages
Front matter	Alan Bain	front cover-1
Editorial	Alan Bain	2
The Committee 1996-2001	Alan Bain	3-4
Tatami Tilings	Alex Barnard	5-9
A Small Road Network	Mark Wainwright	10-13
Qarch Problems		14-16
Perfect Groups	Tom Leinster	17-27
Problems Drive 1996	Gareth McCaughan and Emma McCaughan	28-33
Obituary Notice: Cedric A. B. Smith	Alan Bain	33
The Intersecting Chords Theorem	Colin Bell	34-42
Une Lettre	Blanche Descartes	42
Problems Drive Solutions 1996	Gareth McCaughan and Emma McCaughan	43-45
Problems Drive 1997	Paul Bolchover and Sean Blanchflower	46-48
Curious Cubes	Blanche Descartes	49
Lectures You May Have Missed		50-51
A Peano Space Filling Curve in the Unit Box [0, 1] × [0, 1]		51
Qarch Solutions		52-53
Carpentry: a fable	R. Brown	54
Problems Drive Solutions 1997	Paul Bolchover and Sean Blanchflower	55-56

Eureka 56 (March 2004)

Editors: Vicky Neale

Article title	Authors	Pages
Front matter	Vicky Neale	front cover-1
Editorial	Vicky Neale	2
Acknowledgements	Vicky Neale	2
The Archimedeans, 2002-2004	David Chow	3
Errata to Eureka 55	Vicky Neale	3
p, not p or neither?	George Raptis	4-7
Some Notes on the Theory of Cycling	David Loeffler	8-10
Problems Drive 2003	Toby Kenney and Paul Russell	11-13
Partial Orders and Topologies on Finite Sets	Demetres Christofides and George Raptis	14-18
Nothing	A. Robert Pargeter	19
Back Issues of Eureka	Vicky Neale	19
Tiling with Regular Star Polygons	Joseph Myers	20-27
How Mathematics Saved Christmas	Stephen Burgess	28
Request for Reminiscences		28
Book Reviews	Stephen Burgess and Jenny Gardner	29
From the Mathematical Innovations Catalogue	Chris Cummins	30
Solutions to the Problems Drive	Toby Kenney and Paul Russell	31-32
Committee of the Archimedeans, 2002-2003		32

Eureka 57 (May 2005)

Editors: Erica Thompson; assistant editor David Chow

Article title	Authors	Pages
Front matter	Erica Thompson	front cover-1
Editorial	Erica Thompson	2
Acknowledgements	Erica Thompson	2
The Archimedeans 2004-2005	Jenny Gardner	3
Erratum to Eureka 56	Erica Thompson	3
Fractals, Image Compression and the Contraction Mapping Theorem	Alexander Shannon	4-9
Seminars for Undergraduates		9
Birthdays on Jupiter	Ian Stewart	10-14
Paul's Letter to the Romans, Chapter 5 Verse 8 (The New Mathmo Translation)	Stephen Burgess	14
Back Issues of Eureka		14
Problems Drive 2004	David Chow and Vicki Wright	15-18
The Mathematics of Juggling	Owen Jones	19-24
Invertible Set Theory	David Chow	25
The Physics of Floating	Dominic Vella	26-30
Puzzle Hunt	Alexander Shannon	30
A purely analytic irrationality proof	Tom Müller	31-32
(8) - A Cryptic Clerihew	d'Ag	32
Thoughts on Geometric Realisability	Jonny Evans	33-34
Book Reviews	Dan Jane and David Chow and Erica Thompson and Jacob Shepherd	35-36
The Archimedeans' Bookshop		36
Solutions to the Problems Drive	David Chow and Vicki Wright	37