The Mathematics of Paul Erdős I

Editors: graham, ronald, Nešetřil, Jaroslav, Butler, Steve (Eds.)

  • New and extensively revised edition with approximately 100 pages of new material
  • Contains new articles from prominent mathematicians such as Larry Guth, Alexander Razborov and Joel Spencer
  • Includes new introductions to all the individual parts, with an update of scientific activity in the last 20 years
  • The first book bringing together articles surveying the legacy of Paul Erdős in all fields of his activity
  • Features Paul Erdős' influence in number theory, random structures and geometry, with the most general collection of recent surveys available
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Hardcover $149.00
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  • ISBN 978-1-4614-7257-5
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About this book

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles as well as key articles that survey some of the cornerstones of Erdős' work, each written by a leading world specialist in the field. A special chapter "Early Days", rare photographs, and art related to Erdős complement this striking collection. A unique contribution is the bibliography on Erdős' publications: the most comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erdős' birth, contains updates on many of the articles from the two volumes of the first edition, several new articles from prominent mathematicians, a new introduction, more biographical information about Paul Erdős, and an updated list of publications.

The first volume contains the unique chapter "Early Days", which features personal memories of Paul Erdős by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated, most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popular of Erdős' favorite geometry problems.

About the authors

Ronald L. Graham is currently Professor of Mathematics and Irwin and Joan Jacobs Professor of Computer and Information Sciences at the University of California, San Diego, and Chief Scientist at the California Institute for Telecommunications and Information Technology.

Jaroslav Nešetřil is currently Professor of Mathematics and Director of the Institute of Theoretical Computer Science at Charles University, Prague.

Steve Butler is currently Assistant Professor of Mathematics at Iowa State University.

Table of contents (36 chapters)

  • Paul Erdős: Life and Work

    Bollobás, Béla

    Pages 1-41

  • Erdős Magic

    Spencer, Joel

    Pages 43-46

  • Some of My Favorite Problems and Results

    Erdős, Paul

    Pages 51-70

  • Integers Uniquely Represented by Certain Ternary Forms

    Kaplansky, Irving

    Pages 71-79

  • Did Erdős Save Western Civilization?

    Smith, Cedric A. B.

    Pages 81-92

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-7258-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-7257-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematics of Paul Erdős I
Editors
  • ronald graham
  • Jaroslav Nešetřil
  • Steve Butler
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-7258-2
DOI
10.1007/978-1-4614-7258-2
Hardcover ISBN
978-1-4614-7257-5
Edition Number
2
Number of Pages
XIX, 563
Topics