Bibliography

Diophantus of Alexandria. Sir Thomas L. Heath. Dover, 1964. Diophantine Equations. Louis Joel Mordell. Academic Press, 1969.

On Euler's conjecture:

"Counterexample to Euler's Conjecture on Sums of Like Powers." L. J. Lander and T. R. Parkin. Bulletin of the American Mathematical Society, Vol. 72, 1966, page 1079. "A Counterexample to Euler's Sum of Powers Conjecture." L. J. Lander and T. R. Parkin. Mathematics of Computation, Vol. 21, January 1967, pages 101-103. "A Survey of Equal Sums of Like Powers." L. J. Lander, T. R. Parkin, and J. L. Selfridge. Mathematics of Computation, Vol. 21, July 1967, pages 446-459.

On Fermat's Last Theorem:

Fermat's Last Theorem. A. Church. Long Island University Press, 1937.

Murder by Mathematics. Hector Hawton. London: Ward Lock and Co., 1948.

;"The Devil and Simon Flagg." Arthur, Porges in Fantasia Mathematica, edited by Clifton Fadiman. Simon and Schuster, 1958.

The Last Problem. Eric Temple Bell. Simon and Schuster, 1961.

"Fermat's Last Theorem." Harold M. Edwards. Scientific American, October 1978, pages 104-121.

"13 Lectures on Fermat's Last Theorem." Paulo Ribenboim. Springer-Verlag, 1979.

On the Monkey and the Coconuts:

"The Monkey and the Coconuts." Martin Gardner. The Second Scientific American Book of Mathematical Puzzles £sf Diversions, Chapter 9. Simon and Schuster, 1961.

On Pythagorean Triples:

"The Pythagorean Theorem." Martin Gardner. The Sixth Book of Mathematical Games from Scientific American, Chapter 16. W. H. Freeman, 1971.

On Archimedes' Catde Problem:

The Last Problem. Eric Temple Bell. Simon and Schuster, 1961, pages 151-157.

"Solution of the Catde Problem of Archimedes." H. C. Williams, R. A. German, and C. R. Zarnke. Mathematics of Computation, Vol. 19, October 1965, page 671. See also comments by Daniel Shanks, ibid., pages 686-687.

"A Solution to Archimedes Cattle Problem." Harry L. Nelson. Journal of Recreational Mathematics, Vol. 13, 1980-81, pages 162-176. See also Nelson's note in Vol. 14, 1981-82, page 126.

On the Integral Brick:

"On the Integral Cuboid." W. G. Spohn. The American Mathematical Monthly, Vol. 79, January 1972, pages 57-59.

"On the Derived Cuboid." W. G. Spohn. Canadian Mathematical Bulletin, Vol. 17, 1974, pages 575-577.

"The Rational Cuboid Revisited." John Leech. The American Mathematical Monthly, Vol. 84, August 1977, pages 518-533. See Vol. 85, June 1978, page 472, for corrections.

Unsolved Problems in Number Theory. Richard K. Guy (Springer-Verlag, 1981), pages 97-101.

0 0

Post a comment