Applied Mathematical Sciences

Fourier Series, Fourier Transform and Their Applications to Mathematical Physics

Authors: Serov, Valery

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  • Each chapter is self-contained and can be read independently
  • Content grew from a series of half-semester courses given at University of Oulu
  • Contains material only previously published in scientific journals
  • Useful to both students and researchers who have applications in mathematical physics and engineering sciences
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イーブック ¥9,151
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  • ISBN 978-3-319-65262-7
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ハードカバー ¥15,729
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-65261-0
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ソフトカバー ¥11,439
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-87985-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
この教本について

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences.  Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts.

The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing.  The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations.  The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations.

Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering. 

著者について

Valery Serov is Professor of Mathematics at the University of Oulu. Professor Serov received his PhD in Applied Mathematics in 1979 from Lomonosov Moscow State University.  He has over 120 publications, including 3 textbooks published in Russian.

レビュー

“This book is an introduction to the modern theory of harmonic analysis and differential equations. … the book would be useful for graduate students as well as for researchers who look for applications in mathematical physics and engineering sciences.” (Sergeĭ Yu Tikhonov, Mathematical Reviews, February, 2019)

Table of contents (46 chapters)

Table of contents (46 chapters)

書籍の購入

イーブック ¥9,151
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-65262-7
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥15,729
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-65261-0
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥11,439
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-87985-7
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Fourier Series, Fourier Transform and Their Applications to Mathematical Physics
Authors
Series Title
Applied Mathematical Sciences
Series Volume
197
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
イーブック ISBN
978-3-319-65262-7
DOI
10.1007/978-3-319-65262-7
ハードカバー ISBN
978-3-319-65261-0
ソフトカバー ISBN
978-3-319-87985-7
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XI, 534
Number of Illustrations
4 b/w illustrations
Topics

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