Applied Logic Series

Thirty Five Years of Automating Mathematics

Editors: Kamareddine, F.D. (Ed.)

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About this book

THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN'S AUTOMATH N. G. de Bruijn was a well established mathematician before deciding in 1967 at the age of 49 to work on a new direction related to Automating Mathematics. By then, his contributions in mathematics were numerous and extremely influential. His book on advanced asymptotic methods, North­ Holland 1958, was a classic and was subsequently turned into a book in the well known Dover book series. His work on combinatorics yielded influential notions and theorems of which we mention the de Bruijn-sequences of 1946 and the de Bruijn-Erdos theorem of 1948. De Bruijn's contributions to mathematics also included his work on generalized function theory, analytic number theory, optimal control, quasicrystals, the mathematical analysis of games and much more. In the 1960s de Bruijn became fascinated by the new computer technology and as a result, decided to start the new AUTOMATH project where he could check, with the help of the computer, the correctness of books of mathematics. In each area that de Bruijn approached, he shed a new light and was known for his originality and for making deep intellectual contributions. And when it came to automating mathematics, he again did it his way and introduced the highly influential AUTOMATH. In the past decade he has also been working on theories of the human brain.

Table of contents (11 chapters)

  • A Mathematical Model for Biological Memory and Consciousness

    Bruijn, N. G.

    Pages 9-23

  • Towards an Interactive Mathematical Proof Mode

    Barendregt, Henk

    Pages 25-36

  • Recent Results in Type Theory and Their Relationship to Automath

    Constable, Robert L.

    Pages 37-48

  • Linear Contexts, Sharing Functors: Techniques for Symbolic Computation

    Huet, Gérard

    Pages 49-69

  • De Bruijn’s Automath and Pure Type Systems

    Kamareddine, Fairouz (et al.)

    Pages 71-123

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-94-017-0253-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-1-4020-1656-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-90-481-6440-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Thirty Five Years of Automating Mathematics
Editors
  • F.D. Kamareddine
Series Title
Applied Logic Series
Series Volume
28
Copyright
2003
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-0253-9
DOI
10.1007/978-94-017-0253-9
Hardcover ISBN
978-1-4020-1656-1
Softcover ISBN
978-90-481-6440-0
Series ISSN
1386-2790
Edition Number
1
Number of Pages
IX, 320
Topics