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Frontiers in Mathematics

Introduction to Complex Theory of Differential Equations

Authors: Savin, Anton, Sternin, Boris

  • Provides a lucid exposition of modern complex theory of differential equations, which has its origins in the works of Jean Leray
  • Includes more than 40 figures and numerous examples and exercises
  • Defines all the required terms along the way, making the book self-contained
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-51744-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-51743-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds.

Although the theory of differential equations on real manifolds is well known – it is described in thousands of papers and its usefulness requires no comments or explanations – to date specialists on differential equations have not focused on the complex theory of partial differential equations. However, as well as being remarkably beautiful, this theory can be used to solve a number of problems in real theory, for instance, the Poincaré balayage problem and the mother body problem in geophysics.

The monograph does not require readers to be familiar with advanced notions in complex analysis, differential equations, or topology. With its numerous examples and exercises, it appeals to advanced undergraduate and graduate students, and also to researchers wanting to familiarize themselves with the subject.

About the authors

Boris Sternin is a full professor at the Department of Applied Mathematics at the RUDN University in Moscow. He received his PhD in 1965 from Moscow State University and his Doctor of Physico-Mathematical Sciences in 1984. His main area is partial differential equations, in particular, Global asymptotic methods and Noncommutative theory of elliptic operators. Prof. Sternin has published over 300 scientific articles and 17 books since 1964.

Anton Savin is an associate professor at the Department of Applied Mathematics at the RUDN University in Moscow. He received his PhD in 2000 from Moscow State University and his Doctor of physico-mathematical sciences in 2012. Dr. Savin has published over 70 scientific articles and two books since 1997.

Table of contents (10 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-51744-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-51743-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Complex Theory of Differential Equations
Authors
Series Title
Frontiers in Mathematics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-51744-5
DOI
10.1007/978-3-319-51744-5
Softcover ISBN
978-3-319-51743-8
Series ISSN
1660-8046
Edition Number
1
Number of Pages
IX, 138
Number of Illustrations and Tables
43 b/w illustrations
Topics