Fourier analysis and its applications

Gerald B. Folland

This book presents the theory and applications of Fourier series and integrals, Laplace Transforms, eigenfunction expansions, and related topics. It deals almost exclusively with those aspects of Fourier analysis that are useful in physics and engineering. Using ideas from modern analysis, it discusses the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs. A wide variety of applications are included, in addition to discussions of integral equations and signal analysis.

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[目次]

  • Overture. Fourier series. Orthogonal systems. Some boundary value problems. Bessel functions. Orthogonal polynomials. The Fourier transform. The Laplace transform. Generalized functions. Green's functions.

「Nielsen BookData」より

この本の情報

書名 Fourier analysis and its applications
著作者等 Folland, Gerald B.
シリーズ名 The Wadsworth & Brooks/Cole mathematics series
出版元 Wadsworth & Brooks/Cole Advanced Books & Software
刊行年月 c1992
ページ数 x, 433 p.
大きさ 24 cm
ISBN 0534170943
NCID BA13898019
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言語 英語
出版国 アメリカ合衆国
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