Proofs from THE BOOK (4th Edition) by Martin Aigner, Günter M. Ziegler

By Martin Aigner, Günter M. Ziegler

Amazon: http://www.amazon.com/Proofs-THE-BOOK-Martin-Aigner/dp/3642008550

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

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Graph theory: An algorithmic approach by Nicos Christofides

By Nicos Christofides

It's always useful and visually attractive, to depict a few scenario that's of curiosity by means of a graphical determine along with issues (vertices)—representing entities—and traces (links) becoming a member of definite pairs of those vertices and representing relationships among them. Such figures are recognized through the final identify graphs and this booklet is dedicated to their learn. Graphs are met with in all places below varied names: ''structures'' in civil engineering, ''networks'' in electric engineering, ''sociograms'', ''communication structures'' and ''organizational structures'' in sociology and economics, ''molecular structure'' in chemistry, ''road maps'', gasoline or electrical energy ''distribution networks'' etc.

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