By Martin Aigner, Günter M. Ziegler
This revised and enlarged fourth version beneficial properties 5 new chapters, which deal with classical effects comparable to the "Fundamental Theorem of Algebra", difficulties approximately tilings, but additionally relatively fresh proofs, for instance of the Kneser conjecture in graph idea. the recent version additionally offers extra advancements and surprises, between them a brand new facts for "Hilbert's 3rd Problem".
From the Reviews:
"... inside of [this e-book] is certainly a glimpse of mathematical heaven, the place shrewdpermanent insights and lovely principles mix in awesome and excellent methods. there's huge wealth inside its pages, one gem after one other. ..., yet many [proofs] are new and impressive proofs of classical effects. ...Aigner and Ziegler... write: "... all we provide is the examples that we've got chosen, hoping that our readers will percentage our enthusiasm approximately really good rules, smart insights and beautiful observations." I do. ... " AMS Notices 1999
"... the extent is just about common ... the proofs are terrific. ..." LMS publication 1999