Bøger i Dover Books on Mathematics serien

Graphical and geometrically perceptive methods enliven a distinguished mathematician's treatment of arithmetic, algebra, and analysis. Topics include calculating with natural numbers, complex numbers, goniometric functions, and infinitesimal calculus. 1932 edition. Includes 125 figures.

This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures.

This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, elements of Riemannian geometry. 1959 edition.

Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.

Many illuminating and instructive examples of the applications of game theoretic models to problems in political science appear in this volume, which requires minimal mathematical background. 1975 edition. 24 figures.

Written by a Univeristy of Chicago professor, this 1st volume in the 3-volume series "History of the Theory of Numbers" presents the material related to the subjects of divisibility and primality. 1919 edition.

Lucid, well-written chapters introduce the reader to the concept of possibilities, including combinations and permutations; probabilities; expectations; the law of large numbers, including Chebyshev's theorem; and more. Numerous exercises throughout reinforce the methods and ideas explained. The volume demonstrates that the study of probability can be fun, challenging, and relevant.

This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.

When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.

This accessible introduction offers the keys to an important technique in computational mathematics. It outlines clear connections with applications and considers numerous examples from a variety of specialties. 1987 edition.

Concise yet comprehensive, this treatment of extremal graph theory is appropriate for undergraduate and graduate students and features numerous exercises and complete proofs. 1978 edition.