Integral transforms and their applications

Brian Davies

This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.

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[目次]

  • Functions of a Complex Variable.- The Laplace Transform.- The Inversion Integral.- Ordinary Differential Equations.- Partial Differential Equations I.- Integral Equations.- The Fourier Transform.- Partial Differential Equations II.- Generalized Functions.- Green's Functions.- Transforms in Several Variables.- The Mellin Transform.- Application to Sums and Integrals.- Hankel Transforms.- Integral Transforms Generated by Green's Functions.- The Wiener-Hopf Technique.- Methods Based on Cauchy Integrals.- Laplace's Method for Ordinary Differential Equations.- Numerical Inversion of Laplace Transforms.

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この本の情報

書名 Integral transforms and their applications
著作者等 Davies, B.
Davies Brian
シリーズ名 Texts in applied mathematics
出版元 Springer
刊行年月 c2002
版表示 3rd ed
ページ数 xvii, 367 p.
大きさ 24 cm
ISBN 0387953140
NCID BA55579152
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言語 英語
出版国 アメリカ合衆国
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