Advertisement

Proofs from THE BOOK

  • Martin Aigner
  • Günter M. Ziegler
Textbook

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Number Theory

    1. Front Matter
      Pages 1-1
    2. Martin Aigner, Günter M. Ziegler
      Pages 3-8
    3. Martin Aigner, Günter M. Ziegler
      Pages 9-14
    4. Martin Aigner, Günter M. Ziegler
      Pages 15-18
    5. Martin Aigner, Günter M. Ziegler
      Pages 19-26
    6. Martin Aigner, Günter M. Ziegler
      Pages 27-34
    7. Martin Aigner, Günter M. Ziegler
      Pages 35-38
    8. Martin Aigner, Günter M. Ziegler
      Pages 39-46
    9. Martin Aigner, Günter M. Ziegler
      Pages 47-53
    10. Martin Aigner, Günter M. Ziegler
      Pages 55-64
  3. Geometry

    1. Front Matter
      Pages 65-65
    2. Martin Aigner, Günter M. Ziegler
      Pages 67-75
    3. Martin Aigner, Günter M. Ziegler
      Pages 77-82
    4. Martin Aigner, Günter M. Ziegler
      Pages 83-87
    5. Martin Aigner, Günter M. Ziegler
      Pages 89-94
    6. Martin Aigner, Günter M. Ziegler
      Pages 95-98
    7. Martin Aigner, Günter M. Ziegler
      Pages 99-106
    8. Martin Aigner, Günter M. Ziegler
      Pages 107-110
    9. Martin Aigner, Günter M. Ziegler
      Pages 111-116

About this book

Introduction

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden’s permanent conjecture, as well as additional, highly original and delightful proofs in other chapters.

From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition"

 “… It is almost impossible to write a mathematics book that can be read and enjoyed by people of all levels and backgrounds, yet Aigner and Ziegler accomplish this feat of exposition with virtuoso style. […] This book does an invaluable service to mathematics, by illustrating for non-mathematicians what it is that mathematicians mean when they speak about beauty.”

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. ... 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. ..."

LMS Newsletter, January 1999

"Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... "

SIGACT News, December 2011


Keywords

algebra analysis calculus combinatorics counting finite geometry number theory proof theorem

Authors and affiliations

  • Martin Aigner
    • 1
  • Günter M. Ziegler
    • 2
  1. 1.Institut für MathematikFreie Universität BerlinBerlinGermany
  2. 2.Institut für MathematikFreie Universität BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-57265-8
  • Copyright Information Springer-Verlag GmbH Germany, part of Springer Nature 2018
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-57264-1
  • Online ISBN 978-3-662-57265-8
  • Buy this book on publisher's site
Industry Sectors
Pharma
Finance, Business & Banking
Telecommunications
Aerospace