Clifton Fadiman, beginning in the 1920s an editor at Simon & Schuster, a book reviewer for
The New Yorker, and a radio and TV personality and public intellectual, edited two anthologies in 1958 and 1962 of stories and "oddments and diversions" from the "universe of mathematics." While both books consist largely of science fiction stories, they also contain poems, cartoons, essays, 'apothems' (apothegms), and even song scores and lyrics, bringing together comprehensive cultural portraits of mathematical themes.
A quarter century later, SF author and mathematician Rudy Rucker published a similar anthology -- dedicated to Fadiman -- reprinting mostly newer stories, reusing two stories from Fadiman's books, and including a handful of originals.
The combined index below includes only the reprinted stories from all three volumes. The photo shows trade paperback reprints of the hardcover first editions of Fadiman's books; Rucker's book was published simultaneously in both formats.
Martin Gardner is reprinted four times in these books, Isaac Asimov and Arthur C. Clarke, three times each.
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Fantasia Mathematica, Clifton Fadiman, ed. (Simon & Schuster, 1958)
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The Mathematical Magpie, Clifton Fadiman, ed. (Simon & Schuster, 1962)
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Mathenauts: Tales of Mathematical Wonder, Rudy Rucker, ed. (Arbor House, 1987)
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Combined Contents by Author and Title
Isaac Asimov
1 to 999
(Gallery Sep 1981)
-- Mathenauts: Tales of Mathematical Wonder
The Feeling of Power
(If Feb 1958)
-- The Mathematical Magpie
-- Mathenauts: Tales of Mathematical Wonder
Nigel Balchin
God and the Machine
-- Fantasia Mathematica
Greg Bear
Tangents
(Omni Jan 1986)
-- Mathenauts: Tales of Mathematical Wonder
Samuel Beckett
Sixteen Stones
-- The Mathematical Magpie
Gregory Benford
Time's Rub
-- Mathenauts: Tales of Mathematical Wonder
James Blish
F Y I
(Star Science Fiction Stories, 1953)
-- The Mathematical Magpie
Miles J. Breuer
The Appendix and the Spectacles
(Amazing Dec 1928)
-- The Mathematical Magpie
The Captured Cross-Section
(Amazing Feb 1929)
-- Fantasia Mathematica
Fredric Brown
Expedition
(F&SF Feb 1957)
-- Fantasia Mathematica
Karel Capek
The Death of Archimedes
-- Fantasia Mathematica
Lewis Carroll
The Purse of Fortunatus
-- The Mathematical Magpie
Arthur C. Clarke
The Nine Billion Names of God
(Star Science Fiction Stories, 1953)
-- The Mathematical Magpie
The Pacifist
(Fantastic Universe Oct 1956)
-- The Mathematical Magpie
Superiority
(F&SF Aug 1951)
-- Fantasia Mathematica
Mark Clifton
Star, Bright
(Galaxy Jul 1952)
-- The Mathematical Magpie
Robert M. Coates
The Law
(New Yorker Nov 29 1947)
-- The Mathematical Magpie
A. J. Deutsch
A Subway Named Mobius
(Astounding Dec 1950)
-- Fantasia Mathematica
Anatoly Dneprov
The Maxwell Equations
(Destination: Amaltheia, 1963)
-- Mathenauts: Tales of Mathematical Wonder
Bruce Elliott
Fearsome Fable
(F&SF Feb 1951)
-- Fantasia Mathematica
The Last Magician
(F&SF Jan 1953)
-- Fantasia Mathematica
Martin Gardner
The Island of the Five Colors
(Future Tense, 1952)
-- Fantasia Mathematica
Left or Right?
(Esquire Feb 1951)
-- Mathenauts: Tales of Mathematical Wonder
No-Sided Professor
(Esquire Jan 1947)
-- Fantasia Mathematica
-- Mathenauts: Tales of Mathematical Wonder
Robert Graves
The Abominable Mr. Gunn
(Punch Jun 29 1955)
-- The Mathematical Magpie
Robert A. Heinlein
"—And He Built a Crooked House"
(Astounding Feb 1941)
-- Fantasia Mathematica
Douglas R. Hofstadter
The Tale of Happiton
(Metamagical Themas, 1985)
-- Mathenauts: Tales of Mathematical Wonder
Richard Hughes
The Vanishing Man
(A Moment of Time, 1926)
-- The Mathematical Magpie
Aldous Huxley
Young Archimedes
(Little Mexican, 1924)
-- Fantasia Mathematica
Norton Juster
Milo and the Mathemagician
-- The Mathematical Magpie
Norman Kagan
Four Brands of Impossible
(F&SF Sep 1964)
-- Mathenauts: Tales of Mathematical Wonder
The Mathenauts
(If Jul 1964)
-- Mathenauts: Tales of Mathematical Wonder
Harry Stephen Keeler
John Jones' Dollar
(The Black Cat Aug 1915)
-- Fantasia Mathematica
Arthur Koestler
Pythagoras and the Psychoanalyst
-- Fantasia Mathematica
Kurd Lasswitz
The Universal Library
-- Fantasia Mathematica
Richard Llewellyn
Mother and the Decimal Point
-- Fantasia Mathematica
Russell Maloney
Inflexible Logic
(New Yorker Feb 1940)
-- Fantasia Mathematica
Edward Page Mitchell
The Tachypomp
(Scribner's Mar 1874)
-- Fantasia Mathematica
H. Nearing, Jr.
The Hermeneutical Doughnut
(The Sinister Researches of C.P. Ransom, 1954)
-- The Mathematical Magpie
The Mathematical Voodoo
(F&SF Apr 1951)
-- Fantasia Mathematica
Larry Niven
Convergent Series
(F&SF Mar 1967)
-- Mathenauts: Tales of Mathematical Wonder
William F. Orr
Euclid Alone
(Orbit 16, 1975)
-- Mathenauts: Tales of Mathematical Wonder
Plato
Socrates and the Slave
-- Fantasia Mathematica
Frederik Pohl
The Schematic Man
(Playboy Jan 1969)
-- Mathenauts: Tales of Mathematical Wonder
Arthur Porges
The Devil and Simon Flagg
(F&SF Aug 1954)
-- Fantasia Mathematica
John Reese
The Symbolic Logic of Murder
(EQMM Oct 1960)
-- The Mathematical Magpie
Rudy Rucker
Message Found in a Copy of Flatland
(The 57th Franz Kafka, 1983)
-- Mathenauts: Tales of Mathematical Wonder
A New Golden Age
(Randolph-Macon Woman's College Alumnae Bulletin Sum 1981)
-- Mathenauts: Tales of Mathematical Wonder
Bertrand Russell
Mathematician's Nightmare: The Vision of Professor Squarepunt
-- The Mathematical Magpie
Don Sakers
The Finagle Fiasco
-- Mathenauts: Tales of Mathematical Wonder
George Santayana
The Map of England and the Absolute
-- The Mathematical Magpie
Robert Sheckley
Miss Mouse and the Fourth Dimension
(Twilight Zone Jan 1982)
-- Mathenauts: Tales of Mathematical Wonder
H. Allen Smith
The Achievement of H.T. Wensel
(Saturday Review of Literature May 1960)
-- The Mathematical Magpie
William Hazlett Upson
A. Botts and the Möebius Strip
(The Saturday Evening Post Dec 22 1945)
-- Fantasia Mathematica
Paul Bunyan Versus the Conveyor Belt
(Ford Times 1949)
-- The Mathematical Magpie
Ian Watson
Immune Dreams
(Pulsar, 1978)
-- Mathenauts: Tales of Mathematical Wonder
H. G. Wells
Peter Learns Arithmetic
-- Fantasia Mathematica
Ben Ames Williams
Coconuts
(The Saturday Evening Post Oct 9 1926)
-- The Mathematical Magpie
George Zebrowski
Gödel's Doom
(Popular Computing Feb 1985)
-- Mathenauts: Tales of Mathematical Wonder