TY - BOOK AU - Aigner, Martin AU - Ziegler, Günter M. PY - 2004 DA - 2004// TI - Proofs from THE BOOK ET - 3. ed. PB - Springer CY - Berlin KW - Mathematics AB - 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, Aug. 1999 "... the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, Jan.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 SN - 3540404600 LA - English N1 - Martin Aigner; Günter M. Ziegler. Incl. ill. by Karl H. Hofmann ID - 368051447 ER -