Modern Birkhäuser Classics

The Versatile Soliton

Authors: Filippov, Alexandre T.

  • An affordable softcover edition of a classic book Introduces the theory of algebraic topology
  • Key ideas accessible to nonspecialists
  • Traces the history of algebraic topology and describes the most important results between 1900–1960
  • Excellent historical notes, bibliography, and index
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Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-0-8176-4974-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-0-8176-4973-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The soliton, a solitary wave impulse preserving its shape and strikingly similar to a particle, is one of the most fascinating and beautiful phenomena in the physics of nonlinear waves.  In this classic book, the concept of the soliton is traced from the beginning of the last century to modern times, with recent applications in biology, oceanography, solid state physics, electronics, elementary particle physics, and cosmology.

The Versatile Soliton is an appropriate title indeed. There is much new historical information in the book…The book is written in a lively language and the physics presented in a clear, pedagogical style. Most of the chapters require only knowledge of fairly elementary mathematics and the main ideas of soliton physics are well explained without mathematics at all…Yet it contains valuable information and offers a historical review of soliton physics that cannot be found elsewhere. 

—Centaurus


In summary, this book is a good elementary treatment of solitons and the related history of physics and mathematics, even for readers with little knowledge of advanced mathematics. For readers with the latter knowledge, it is still a good introduction to the physical ideas required for the understanding of solitons prior to the study of more mathematical treatments from other sources. 

—Mathematical Reviews


This engaging book is an excellent introduction into the wonderful world of soliton mechanics.  

—Zentralblatt Math


No doubt, everyone can get new information from the book. First, the book is strongly recommended to young researchers. In a certain sense, the book is unique and definitely will find a niche among numerous textbooks on solitons.  

—Physicala

Reviews

From the reviews:

The Versatile Soliton is an appropriate title indeed. There is much new historical information in the book…The book is written in a lively language and the physics presented in a clear, pedagogical style. Most of the chapters require only knowledge of fairly elementary mathematics and the main ideas of soliton physics are well explained without mathematics at all…Yet it contains valuable information and offers a historical review of soliton physics that cannot be found elsewhere. —Centaurus

No doubt, everyone can get new information from the book. First, the book is strongly recommended to young researchers. In a certain sense, the book is unique and definitely will find a niche among numerous textbooks on solitons.—Physicala

The well-known author with teaching and research experience has found the right ballance between intuition, mathemtical precision and practical utility. —Acta Sci. Math.

In summary, this book is a good elementary treatment of solitons and the related history of physics and mathematics, even for readers with little knowledge of advanced mathematics. For readers with the latter knowledge, it is still a good introduction to the physical ideas required for the understanding of solitons prior to the study of more mathematical treatments from other sources.—Mathematical Reviews

This engaging book is an excellent introduction into the wonderful world of soliton mechanics.—Zentralblatt Math

“The book presents the development of the soliton theory, whose complete mathematical description is a … refined branch of modern mathematics, as a fascinating story, full of historical collisions. … The book emphasizes common features of diverse solitons, targeting on uncovering conceptual simplicity in apparent complexity. … is accessible to high school students, though at this level the reader is supposed to follow some mathematical computations.” (Dmitry Shepelsky, Zentralblatt MATH, Vol. 1205, 2011)


Table of contents (8 chapters)

  • A Century and a Half Ago

    Filippov, Alexandre T.

    Pages 3-22

  • The Great Solitary Wave of John Scott Russell

    Filippov, Alexandre T.

    Pages 23-37

  • Relatives of the Soliton

    Filippov, Alexandre T.

    Pages 39-57

  • A Portrait of the Pendulum

    Filippov, Alexandre T.

    Pages 61-94

  • From Pendulum to Waves and Solitons

    Filippov, Alexandre T.

    Pages 95-128

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-0-8176-4974-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-0-8176-4973-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Versatile Soliton
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-4974-6
DOI
10.1007/978-0-8176-4974-6
Softcover ISBN
978-0-8176-4973-9
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XVII, 261
Number of Illustrations and Tables
77 b/w illustrations
Topics