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The Strength of Nonstandard Analysis

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

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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-211-49905-4
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Hardcover $139.99
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  • ISBN 978-3-211-49904-7
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Softcover $139.99
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  • ISBN 978-3-211-99892-2
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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 (25 chapters)

  • The strength of nonstandard analysis

    Keisler, H. Jerome

    Pages 3-26

  • The virtue of simplicity

    Nelson, Edward

    Pages 27-32

  • Analysis of various practices of referring in classical or non standard mathematics

    Péraire, Yves

    Pages 33-46

  • Stratified analysis?

    Hrbacek, Karel

    Pages 47-63

  • ERNA at work

    Impens, C. (et al.)

    Pages 64-75

Buy this book

eBook $109.00
price for USA in USD (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 $139.99
price for USA in USD
  • ISBN 978-3-211-49904-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • 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
16 b/w illustrations
Topics