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Mathematics and Its Applications

Asymptotology

Ideas, Methods, and Applications

Authors: Andrianov, Igor V., Manevitch, Leonid I.

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About this book

Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in me­ chanics, physics and other exact sciences for many, many decades. But more than this, asymptotic ideas are found in all branches of human knowledge, indeed in all areas of life. In this broader context they have not and perhaps cannot be fully formalized. However, they are mar­ velous, they leave room for fantasy, guesses and intuition; they bring us very near to the border of the realm of art. Many books have been written and published about asymptotic meth­ ods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessi­ ble level, hoping to address a wider range of readers. They have avoided the extreme of banishing formulae entirely, as done in some popular science books that attempt to describe mathematical methods with no mathematics. This is impossible (and not wise). Rather, the authors have tried to keep the mathematics at a moderate level. At the same time, using simple examples, they think they have been able to illustrate all the key ideas of asymptotic methods and approaches, to depict in de­ tail the results of their application to various branches of knowledg- from astronomy, mechanics, and physics to biology, psychology and art. The book is supplemented by several appendices, one of which con­ tains the profound ideas of R. G.

Reviews

"[...]quite interesting and should be informative for those wishing to gain some insight into the power of asymptotic methods and their pervasiveness in applied mathematics and the physical sciences without becoming too involved in their detailed mathematical description."
(Mathematical Reviews, 2003)

Table of contents (9 chapters)

  • Introduction

    Andrianov, Igor V. (et al.)

    Pages 1-6

  • What Are Asymptotic Methods?

    Andrianov, Igor V. (et al.)

    Pages 7-39

  • A Little Mathematics

    Andrianov, Igor V. (et al.)

    Pages 41-80

  • How Asymptotic Methods Work

    Andrianov, Igor V. (et al.)

    Pages 81-102

  • Asymptotic Methods and Physical Theories

    Andrianov, Igor V. (et al.)

    Pages 103-117

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-1-4419-9162-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4020-0960-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4613-4816-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotology
Book Subtitle
Ideas, Methods, and Applications
Authors
Series Title
Mathematics and Its Applications
Series Volume
551
Copyright
2002
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4419-9162-1
DOI
10.1007/978-1-4419-9162-1
Hardcover ISBN
978-1-4020-0960-0
Softcover ISBN
978-1-4613-4816-0
Edition Number
1
Number of Pages
XVIII, 252
Topics