基本説明
ポール・エルデシュが，全情熱を注いで執筆していたエレガントな証明のバイブル。１９９６年の彼の死によって，未完のままとなっていた原稿を編纂したもの。１９９８年初版刊行。第二版日本語訳、シュプリンガー東京刊。
The mathematical heroes of this book are "perfect proofs": brilliant ideas, wonderful observations that bring new insight on challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented.
Full Description
From the reviews: '...Inside "PFTB" ("Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results...Aigner and Ziegler...write: '...all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations'. I do...' - "Notices of the AMS", August 1999. '...the style is clear and entertaining, the level is close to elementary ...and the proofs are brilliant...' - "LMS Newsletter", January 1999. This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to 'enumerate the rationals'.
