Proofs from THE BOOK

Summary:
Introduction.- Number Theory.- Geometry.- Graph Theory.- Combinatorics.- Analysis.- References.- Index.

From the Rezensions of the First Edition: " ... This is a wonderful book that can be recommended to anybody who is in any way connected to mathematics. Those who have ever experienced the beauty of mathematics will experience the chill again. For those who have never experienced that, this book is just the right one to start." Acta Scientiarum Mathematicarum, 1999, Vol. 65, 769-770 "... 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 do not claim to have presented the definitive collection of great mathematics. In their brief introduction they write: "We have no definition or characterization of what constitutes a proof from THE BOOK: 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 American Mathematical Society, August 1999 "... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. Moreover, the exposition makes them transparent. ..." London Mathematical Society Newsletter, January 1999 "... Clearly this second edition is dangerously suited to infect the reader with the enthusiasm of the authors." J.Elstrodt (Münster), Zentralblatt für Mathematik 0978.