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Mathematics and Its Applications

Nonstandard Methods of Analysis

Authors: Kusraev, A.G., Kutateladze, Semën Samsonovich

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eBook $99.00
price for USA in USD (gross)
  • ISBN 978-94-011-1136-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-0-7923-2892-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-94-010-4497-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Boolean-valued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years.
For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work.

Table of contents (10 chapters)

  • Excursus into the History of Mathematical Analysis

    Kusraev, Anatoly G. (et al.)

    Pages 3-12

  • Naive Fundamentals of Infinitesimal Methods

    Kusraev, Anatoly G. (et al.)

    Pages 13-40

  • Set-Theoretic Formalisms of Nonstandard Analysis

    Kusraev, Anatoly G. (et al.)

    Pages 41-80

  • Monads in General Topology

    Kusraev, Anatoly G. (et al.)

    Pages 81-111

  • Infinitesimals and Subdifferentials

    Kusraev, Anatoly G. (et al.)

    Pages 112-168

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-94-011-1136-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA in USD
  • ISBN 978-0-7923-2892-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-94-010-4497-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonstandard Methods of Analysis
Authors
Series Title
Mathematics and Its Applications
Series Volume
291
Copyright
1994
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-1136-2
DOI
10.1007/978-94-011-1136-2
Hardcover ISBN
978-0-7923-2892-6
Softcover ISBN
978-94-010-4497-4
Edition Number
1
Number of Pages
VIII, 439
Additional Information
Originally published in Russian
Topics