Ulam, famous for his solution to the difficulties of initiating fusion in the hydrogen bomb, devised the well-known Monte-Carlo method. Here he presents challenges in the areas of set theory, algebra, metric and topological spaces, and topological groups. Issues in analysis, physical systems, and the use of computers as a heuristic aid are also addressed. Unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1964.
Here's a sample of other books in this Dover category
100 Great Problems of Elementary Mathematics by Heinrich Dörrie Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, etc. Features squaring the circle, pi, similar problems. No advanced math is required. Includes 100 problems with proofs.
Topology: An Introduction with Application to Topological Groups by George McCarty This introduction employs the language of point set topology to define and discuss topological groups. Covers set-theoretic topology and its applications as well as homotopy and the fundamental group. 1967 edition. Includes 99 illustrations.
The General Theory of Dirichlet's Series by G. H. Hardy, Marcel Riesz This classic work by two distinguished mathematicians explains theory and formulas behind Dirichlet's series and offers first systematic account of Riesz's theory of summation of series by typical means. 1915 edition.
Summation of Series by L.B. W. Jolley More than 1,200 common series appear here. Collected, summed, and grouped for easy reference, they constitute an immensely useful handbook for mathematicians, physicists, computer technicians, engineers, and students.
