This revised and enlarged 5th variation positive aspects 4 new chapters, which comprise hugely unique and pleasant proofs for classics reminiscent of the spectral theorem from linear algebra, a few more moderen jewels just like the non-existence of the Borromean earrings and different surprises.
From the Reviews
"... within PFTB (Proofs from The e-book) is certainly a glimpse of mathematical heaven, the place smart insights and lovely principles mix in miraculous and excellent methods. there's substantial wealth inside of its pages, one gem after one other. ... Aigner and Ziegler... write: "... all we provide is the examples that we've got chosen, hoping that our readers will proportion our enthusiasm approximately incredible rules, shrewdpermanent insights and beautiful observations." I do. ... "
Notices of the AMS, August 1999
"... This booklet is a excitement to carry and to examine: plentiful margins, great photographs, instructive photos and gorgeous drawings ... it's a excitement to learn to boot: the fashion is apparent and unique, the extent is on the subject of easy, the mandatory history is given individually and the proofs are really good. ..."
LMS publication, January 1999
"Martin Aigner and Günter Ziegler succeeded admirably in placing jointly a large choice of theorems and their proofs that might definitely be within the e-book of Erdös. The theorems are so primary, their proofs so based and the remainder open questio
ns so interesting that each mathematician, despite speciality, can make the most of studying this e-book. ... "
SIGACT information, December 2011.