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  • © 2013

People, Problems, and Proofs

Essays from Gödel's Lost Letter: 2010

  • Unique breadth of examples from the history of computer science and mathematics
  • Offers tips and inspiration to graduate students
  • Authors very experienced at communicating the essence of difficult problems
  • Includes supplementary material: sn.pub/extras

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Table of contents (63 chapters)

  1. Front Matter

    Pages I-XVIII
  2. The Claimant, the Readers, and the Crowd

    • Richard J. Lipton, Kenneth W. Regan
    Pages 1-18
  3. Kenneth Iverson: Notation and Thinking

    • Richard J. Lipton, Kenneth W. Regan
    Pages 19-23
  4. Edmund Hillary: Proofs and Mountain Climbing

    • Richard J. Lipton, Kenneth W. Regan
    Pages 25-28
  5. Leonardo da Vinci: Proofs as Art

    • Richard J. Lipton, Kenneth W. Regan
    Pages 29-34
  6. Michael Atiyah: The Role of Proof

    • Richard J. Lipton, Kenneth W. Regan
    Pages 35-37
  7. Subhash Khot: Unique Games Conjecture

    • Richard J. Lipton, Kenneth W. Regan
    Pages 39-43
  8. Arno van den Essen: An Amazing Conjecture

    • Richard J. Lipton, Kenneth W. Regan
    Pages 45-50
  9. Richard Hamilton: Group Efforts

    • Richard J. Lipton, Kenneth W. Regan
    Pages 51-55
  10. Grigori Perelman: A New Clay Problem

    • Richard J. Lipton, Kenneth W. Regan
    Pages 57-59
  11. Eric Allender: Solvable Groups

    • Richard J. Lipton, Kenneth W. Regan
    Pages 61-64
  12. Enrico Bombieri: On Intuition

    • Richard J. Lipton, Kenneth W. Regan
    Pages 65-69
  13. Fred Hennie: Lower Bounds

    • Richard J. Lipton, Kenneth W. Regan
    Pages 71-74
  14. Volker Strassen: Amazing Results

    • Richard J. Lipton, Kenneth W. Regan
    Pages 75-78
  15. Adam Smith: Dumb Channels

    • Richard J. Lipton, Kenneth W. Regan
    Pages 79-82
  16. Georg Cantor: Diagonal Method

    • Richard J. Lipton, Kenneth W. Regan
    Pages 83-86
  17. Raymond Smullyan: The Reals Are Uncountable

    • Richard J. Lipton, Kenneth W. Regan
    Pages 87-91
  18. William Tutte: Flow Problems

    • Richard J. Lipton, Kenneth W. Regan
    Pages 93-97
  19. Basil Rathbone: Writing a Major Result

    • Richard J. Lipton, Kenneth W. Regan
    Pages 99-103
  20. Elwyn Berlekamp: Dots and Boxes

    • Richard J. Lipton, Kenneth W. Regan
    Pages 105-108

About this book

People, problems, and proofs are the lifeblood of theoretical computer science. Behind the computing devices and applications that have transformed our lives are clever algorithms, and for every worthwhile algorithm there is a problem that it solves and a proof that it works. Before this proof there was an open problem: can one create an efficient algorithm to solve the computational problem? And, finally, behind these questions are the people who are excited about these fundamental issues in our computational world.

In this book the authors draw on their outstanding research and teaching experience to showcase some key people and ideas in the domain of theoretical computer science, particularly in computational complexity and algorithms, and related mathematical topics. They show evidence of the considerable scholarship that supports this young field, and they balance an impressive breadth of topics with the depth necessary to reveal the power and the relevance of the work described.

Beyond this, the authors discuss the sustained effort of their community, revealing much about the culture of their field. A career in theoretical computer science at the top level is a vocation: the work is hard, and in addition to the obvious requirements such as intellect and training, the vignettes in this book demonstrate the importance of human factors such as personality, instinct, creativity, ambition, tenacity, and luck.

The authors' style is characterize

d by personal observations, enthusiasm, and humor, and this book will be a source of inspiration and guidance for graduate students and researchers engaged with or planning careers in theoretical computer science.

Reviews

“The book has 63 chapters, each one … representing an edited version of a post in GLL. … this book will appeal to readers seeking an insider view on how creative mathematical ideas emerge. And it will also appeal to experts for its insightful ruminations on current scientific and cultural problems in theoretical computer science.” (Marius Zimand, Mathematical Reviews, June, 2015)

“This book is one of those inspiring books that almost every computer scientist should read. Moreover, it is also very well suited to a wider audience, including those curious about the field and newcomers. Its authors, Lipton and Regan, did a wonderful job introducing and analyzing important problems in complexity theory with an easy-to-read text. … It is therefore an invaluable source of inspiration and study.” (Carlos Linares Lopez, Computing Reviews, August, 2014)

Authors and Affiliations

  • College of Computing School of Computer Science, Georgia Institute of Technology, Atlanta, USA

    Richard J. Lipton

  • Dept. of Computer Sci. & Engineering, The State University of New York, Buffalo, USA

    Kenneth W. Regan

About the authors

Richard Lipton is the Storey Professor of Computer Science at Georgia Institute of Technology; previously he held faculty positions at Yale University, the University of California at Berkeley, and Princeton University. His research is focused primarily on the theory of computation, where he has made seminal contributions. He is a member of the National Academy of Engineering, an ACM Fellow, and a Guggenheim Fellow. Kenneth Regan is a professor of computer science at The State University of New York at Buffalo. His research interests include computational complexity. He is an international chess master and an expert on investigating cheating in chess.

Bibliographic Information

  • Book Title: People, Problems, and Proofs

  • Book Subtitle: Essays from Gödel's Lost Letter: 2010

  • Authors: Richard J. Lipton, Kenneth W. Regan

  • DOI: https://doi.org/10.1007/978-3-642-41422-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-41421-3Published: 27 December 2013

  • Softcover ISBN: 978-3-662-52301-8Published: 23 August 2016

  • eBook ISBN: 978-3-642-41422-0Published: 11 December 2013

  • Edition Number: 1

  • Number of Pages: XVIII, 333

  • Number of Illustrations: 28 b/w illustrations, 5 illustrations in colour

  • Topics: Theory of Computation, History of Computing, Mathematics of Computing, History of Mathematical Sciences

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 49.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access