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Proofs from the BOOK by Martin Aigner and Gunter M. Ziegler (2009, Hardcover)

Brenham Book Company (755)

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Book by Aigner, Martin, Ziegler, Günter M.

About this product

Product Identifiers

PublisherSpringer

ISBN-103642008550

ISBN-139783642008559

eBay Product ID (ePID)78659181

Product Key Features

Number of PagesVIII, 274 Pages

LanguageEnglish

Publication NameProofs from the Book

Publication Year2009

SubjectGeneral, Number Theory, Logic

TypeTextbook

AuthorMartin Aigner, Gunter M. Ziegler

Subject AreaMathematics

FormatHardcover

Dimensions

Item Weight30.3 Oz

Item Length6.1 in

Item Width9.3 in

Additional Product Features

Edition Number4

Intended AudienceScholarly & Professional

Dewey Edition22

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal510

SynopsisPaulErdos ? likedtotalkaboutTheBook,inwhichGodmaintainstheperfect proofsformathematicaltheorems,followingthedictumofG. H. Hardythat there is no permanent place for ugly mathematics. Erdos ? also said that you need not believe in God but, as a mathematician, you should believe in The Book. A few years ago, we suggested to him to write up a ?rst (and very modest) approximation to The Book. He was enthusiastic about the idea and, characteristically, went to work immediately, ?lling page after page with his suggestions. Our book was supposed to appear in March 1998 as a present to Erdos ? ' 85th birthday. With Paul's unfortunate death in the summer of 1996, he is not listed as a co-author. Instead this book is dedicated to his memory. ? Paul Erdos We have no de'nition or characterization of what constitutes a proof from The Book: all we offer here is the examples that we have selected, h- ing that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations. We also hope that our readers will enjoy this despite the imperfections of our exposition. The selection is to a ? great extent in'uencedby Paul Erdos himself. A largenumberof the topics were suggested by him, and many of the proofs trace directly back to him, or were initiated by his supreme insight in asking the right question or in makingthe rightconjecture. So to a largeextentthisbookre'ectstheviews of Paul Erdos ? as to what should be considered a proof from The Book., * Revised and enlarged form * Includes five new chapters * Presents further improvements and surprises This revised and enlarged fourth edition of "Proofs from THE BOOK" features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra," problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improvements and surprises, among them a new proof for "Hilbert's Third Problem.", As well as the original material, this revised and enlarged fourth edition has new chapters on treat classical results such as the "Fundamental Theorem of Algebra" and tilings problems, but also recent proofs, such as the Kneser conjecture in graph theory.

Illustrated byHofmann, Karl H.

LC Classification NumberQA8.9-10.3QA1-939QA