Bøger i Dover Books on Mathematics serien

This stimulating collection -- complete with instructive solutions -- involves numbers, equations, polygons, and polyhedra as well as more amusing and practical subjects, from picnic hams to rooks on a chessboard.

"This book is well-written and the bibliography excellent," declared Mathematical Reviews of John Knopfmacher's innovative study. The three-part treatment applies classical analytic number theory to a wide variety of mathematical subjects not usually treated in an arithmetical way. The first part deals with arithmetical semigroups and algebraic enumeration problems; Part Two addresses arithmetical semigroups with analytical properties of classical type; and the final part explores analytical properties of other arithmetical systems.Because of its careful treatment of fundamental concepts and theorems, this text is accessible to readers with a moderate mathematical background, i.e., three years of university-level mathematics. An extensive bibliography is provided, and each chapter includes a selection of references to relevant research papers or books. The book concludes with an appendix that offers several unsolved questions, with interesting proposals for further development.Dover (2015) corrected and enlarged republication of the edition originally published by North-Holland Publishing Company, Amsterdam, and the American Elsevier Publishing Company, Inc., New York, 1975.See every Dover book in print atwww.doverpublications.com

This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.