Advanced mathematics for applications

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Advanced mathematics for applications / Andrea Prosperetti

資料種別:: 図書
出版情報:: Cambridge ; New York : Cambridge University Press, 2011
形態:: xviii, 724 p. ; 26 cm
著者名:: Prosperetti, Andrea
ISBN:: 9780521515320 [0521515327] (: hbk)
9780521735872 [0521735874] (: pbk)
書誌ID:: BB04588506

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注記:

Includes bibliographical references (p. [699]-706) and index

主題:

MATHEMATICS / General bisacsh

言語:

英語

目次情報:

Preface

To the reader

List of tables

General Remarks and Basic Concepts / Part I：

The classical field equations / 1：

Some simple preliminaries / 2：

Applications / Part II：

Fourier series: applications / 3：

Fourier transform: applications / 4：

Laplace transform: applications / 5：

Cylindrical systems / 6：

Spherical systems / 7：

Essential Tools / Part III：

Sequences and series / 8：

Fourier series: theory / 9：

The Fourier and Hankel transforms / 10：

The Laplace transform / 11：

The Bessel equation / 12：

The Legendre equation / 13：

Spherical harmonics / 14：

Green's functions: ordinary differential equations / 15：

Green's functions: partial differential equations / 16：

Analytic functions / 17：

Matrices and finite-dimensional linear spaces / 18：

Some Advanced Tools / Part IV：

Infinite-dimensional spaces / 19：

Theory of distributions / 20：

Linear operators in infinite-dimensional spaces / 21：

Appendix

References

Index

Preface

To the reader

List of tables

General Remarks and Basic Concepts / Part I：

The classical field equations / 1：

Some simple preliminaries / 2：

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