The Strength of Nonstandard Analysis

Editors: Berg, Imme van den, Neves, Vitor (Eds.)

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  • ISBN 978-3-211-49905-4
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About this book

Nonstandard Analysis enhances mathematical reasoning by introducing new ways of expression and deduction. Distinguishing between standard and nonstandard mathematical objects, its inventor, the eminent mathematician Abraham Robinson, settled in 1961 the centuries-old problem of how to use infinitesimals correctly in analysis. Having also worked as an engineer, he saw not only that his method greatly simplified mathematically proving and teaching, but also served as a powerful tool in modelling, analyzing and solving problems in the applied sciences, among others by effective rescaling and by infinitesimal discretizations.

This book reflects the progress made in the forty years since the appearance of Robinson’s revolutionary book Nonstandard Analysis: in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education. The contributions are clear and essentially self-contained.

Table of contents (2 chapters)

  • The strength of nonstandard analysis

    H. Jerome Keisler

    Pages 3-26

  • Averaging for ordinary differential equations and functional differential equations

    Tewfik Sari

    Pages 286-305

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-211-49905-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-211-49904-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-211-99892-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Strength of Nonstandard Analysis
Editors
  • Imme van den Berg
  • Vitor Neves
Copyright
2007
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Vienna
eBook ISBN
978-3-211-49905-4
DOI
10.1007/978-3-211-49905-4
Hardcover ISBN
978-3-211-49904-7
Softcover ISBN
978-3-211-99892-2
Edition Number
1
Number of Pages
XX, 401
Number of Illustrations and Tables
16 b/w illustrations
Topics