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Proofs from the Book

Proofs from the Book Cover

 

Synopses & Reviews

Publisher Comments:

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". 

 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, August 1999

"... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately, and the proofs are brilliant. Moreover, the exposition makes them transparent. ..." 

LMS Newsletter, January 1999

Synopsis:

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.

Synopsis:

This revised and enlarged fourth edition 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". From the Reviews: "... Inside [this 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. ..., but many [proofs] 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. ... " AMS Notices 1999 "... the level is close to elementary ... the proofs are brilliant. ..." LMS Newsletter 1999

Synopsis:

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, August 1999

"... the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 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".

Table of Contents

Preface.- Number Theory.- Geometry.- Analysis.- Combinatorics.- Graph Theory.- About the Illustrations.- Index.

Product Details

ISBN:
9783642008559
Publisher:
Springer
Location:
Berlin, Heidelberg
Illustrator:
Hofmann, Karl H.
Author:
uuml
Author:
Aigner, Martin
Author:
nter M
Author:
&
Author:
Ziegler, Gunter M.
Author:
G .
Author:
nter M. Ziegler
Author:
Hofmann, Karl H.
Author:
Ziegler, Ga1/4nter M.
Author:
Ziegler, G
Subject:
Mathematical Analysis
Subject:
Computer Science
Subject:
Combinatorics
Subject:
General Mathematics
Subject:
Analysis
Subject:
Geometry
Subject:
Number Theory
Subject:
Proofs
Subject:
Mathematics - General
Subject:
Computer Science, general
Subject:
Mathematics-Analysis General
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
4th ed. 2010
Publication Date:
20091123
Binding:
Electronic book text in proprietary or open standard format
Language:
English
Illustrations:
YES
Pages:
282
Dimensions:
9.72x7.90x.95 in. 2.17 lbs.

Related Subjects

» Computers and Internet » Computers Reference » General
» Computers and Internet » Personal Computers » General
» History and Social Science » Sociology » General
» Reference » Science Reference » General
» Reference » Science Reference » Technology
» Science and Mathematics » Mathematics » Advanced
» Science and Mathematics » Mathematics » Analysis General
» Science and Mathematics » Mathematics » Combinatorics
» Science and Mathematics » Mathematics » Foundations and Logic
» Science and Mathematics » Mathematics » General
» Science and Mathematics » Mathematics » History
» Science and Mathematics » Mathematics » Logic and Philosophy
» Science and Mathematics » Mathematics » Number Theory
» Science and Mathematics » Mathematics » Probability and Statistics » General
» Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Proofs from the Book
0 stars - 0 reviews
$ In Stock
Product details 282 pages Springer - English 9783642008559 Reviews:
"Synopsis" by , 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.
"Synopsis" by , This revised and enlarged fourth edition 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". From the Reviews: "... Inside [this 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. ..., but many [proofs] 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. ... " AMS Notices 1999 "... the level is close to elementary ... the proofs are brilliant. ..." LMS Newsletter 1999
"Synopsis" by , 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, August 1999

"... the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 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".

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