Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (8 chapters)
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Front Matter
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An Early History of the Soliton
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Front Matter
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Nonlinear Oscillations and Waves
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Front Matter
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The Present and Future of the Soliton
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Front Matter
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Back Matter
Keywords
About this book
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 levelthe reader is supposed to follow some mathematical computations.” (Dmitry Shepelsky, Zentralblatt MATH, Vol. 1205, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: The Versatile Soliton
Authors: Alexandre T. Filippov
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-0-8176-4974-6
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Softcover ISBN: 978-0-8176-4973-9Published: 21 May 2010
eBook ISBN: 978-0-8176-4974-6Published: 18 May 2010
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: XVII, 261
Number of Illustrations: 77 b/w illustrations
Topics: Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Elementary Particles, Quantum Field Theory