Discrete Thoughts

Essays on Mathematics, Science, and Philosophy

  • Mark Kac
  • Gian-Carlo Rota
  • Jacob T. Schwartz

Part of the Modern Birkhäuser Classics book series

Table of contents

  1. Front Matter
    Pages i-xii
  2. Discrete Thoughts

    1. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 1-3
  3. I

    1. Front Matter
      Pages 5-5
    2. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 7-18
    3. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 19-25
    4. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 27-36
    5. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 37-48
    6. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 49-62
    7. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 63-76
    8. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 77-103
    9. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 105-116
    10. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 117-149
  4. II

    1. Front Matter
      Pages 151-151
    2. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 153-155
    3. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 157-161
    4. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 163-166
    5. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 167-173
    6. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 175-181
    7. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 183-190
    8. Mark Kac, Gian-Carlo Rota, Jacob T. Schwartz
      Pages 191-193

About this book

Introduction

This is a volume of essays and reviews that delightfully explore mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others.

"...these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions...I admire the stimulating perspectives of the authors."---American Mathematical Society

"‘Mathematicians, like Proust and everyone else, are at their best when writing about their first love’ … They are among the very best we have; and their best is very good indeed. … One approaches this book with high hopes. Happily, one is not disappointed."--- From The Mathematical Intelligencer

"Mathematics is shaped by the consistent concerns and styles of powerful minds —three of which are represented here. Kac’s work is marked by deep commitment and breadth of inquiry. Rota is the easiest of these authors to read…a delight: witty and urbane, with a clear and interesting agenda and an astonishing intellectual range. To read him is to be a part of a pleasant and rewarding conversation.—Mathematics Magazine

Keywords

History of Mathematics Philosophy Physics Science mathematics

Authors and affiliations

  • Mark Kac
  • Gian-Carlo Rota
    • 1
  • Jacob T. Schwartz
    • 2
  1. 1.Dept. of Mathematics and PhilosophyMITCambridgeUSA
  2. 2.Courant InstituteNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4775-9
  • Copyright Information Birkhäuser Boston 1992
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-8176-3636-4
  • Online ISBN 978-0-8176-4775-9
  • Series Print ISSN 2197-1803
  • Series Online ISSN 2197-1811
  • About this book