Problem Books in Mathematics

Principles of Partial Differential Equations

Authors: Komech, Alexander, Komech, Andrew

  • Discusses the classical tools of Partial Differential Equations theory used in today’s science and engineering
  • Covers characteristics, wave propagation and the Fourier methods as well as Sobolev spaces and Green’s functions
  • Offers a problem-oriented approach
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Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4419-1096-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-1-4419-1095-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4614-2462-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions.  The approach is problem-oriented, giving the reader an opportunity to master solution techniques.  The theoretical part is rigorous and with important details presented with care.  Hints are provided to help the reader restore the arguments to their full rigor.  Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.

Reviews

From the reviews:

“This book is intended to give the reader an opportunity to master solving problems in partial differential equations. … This book has been written specifically to satisfy the demand of a wide audience who needs knowledge of how to solve PDE problems … . The book under review is mainly addressed to those in higher-level undergraduate courses and for self-study for both graduate and higher-level undergraduate students.”­­­ (Vicenţiu Rădulescu, Mathematical Reviews, Issue 2010 k)

Table of contents (5 chapters)

  • Hyperbolic equations. Method of characteristics

    Komech, Alexander (et al.)

    Pages 1-63

  • The Fourier method

    Komech, Alexander (et al.)

    Pages 65-103

  • Distributions and Green’s functions

    Komech, Alexander (et al.)

    Pages 105-131

  • Fundamental solutions and Green’s functions in higher dimensions

    Komech, Alexander (et al.)

    Pages 133-153

  • Erratum

    Pages 162-162

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4419-1096-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-1-4419-1095-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4614-2462-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Principles of Partial Differential Equations
Authors
Series Title
Problem Books in Mathematics
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4419-1096-7
DOI
10.1007/978-1-4419-1096-7
Hardcover ISBN
978-1-4419-1095-0
Softcover ISBN
978-1-4614-2462-8
Series ISSN
0941-3502
Edition Number
1
Number of Pages
X, 161
Number of Illustrations and Tables
85 b/w illustrations
Topics