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Grundlehren der mathematischen Wissenschaften

Geometrical Methods in the Theory of Ordinary Differential Equations

Authors: Arnold, V.I.

Editors: Levi, Mark (Ed.)

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  • ISBN 978-1-4612-1037-5
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Hardcover $219.99
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Softcover $149.99
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About this book

Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-1-4612-1037-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-387-96649-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $149.99
price for USA in USD
  • ISBN 978-1-4612-6994-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Geometrical Methods in the Theory of Ordinary Differential Equations
Authors
Editors
  • Mark Levi
Translated by
Szücs, J.
Series Title
Grundlehren der mathematischen Wissenschaften
Series Volume
250
Copyright
1988
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1037-5
DOI
10.1007/978-1-4612-1037-5
Hardcover ISBN
978-0-387-96649-6
Softcover ISBN
978-1-4612-6994-6
Series ISSN
0072-7830
Edition Number
2
Number of Pages
XIII, 351
Additional Information
Title of the original Russian edition: Dopolnitel'nye teorii obyknovennych differencial'nych uravnenij
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