Fourier series, transforms, and boundary value problems
著者
書誌事項
Fourier series, transforms, and boundary value problems
(Pure and applied mathematics)(A Wiley-Interscience publication)
Wiley, c1990
2nd ed
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注記
Rev. ed. of: Fourier series and integrals of boundary value problems. c1982
Bibliography: p. 315-316
Includes index
内容説明・目次
内容説明
This updated edition has been revised to include changes that consist of the addition of new material on integral transforms, discrete and fast Fourier transforms, series solutions, harmonic analysis, spherical harmonics, and a glance at some of the numerical techniques for the solution of boundary value problems. The text offers a full presentation of basic principles, and advanced topics are covered in the largely self-contained closing chapters. The order of presentation of some of the material has been rearranged in this edition to provide more flexibility in arranging courses.
目次
- Linear Differential Equations
- Orthogonal Sets of Functions
- Fourier Series
- Fourier Integrals
- Bessel Functions
- Legendre Polynomials
- Integral Transforms
- Applications of BVP's
- Additional Applications
- Appendixes
- Selected Integrals
- Table of Laplace Transforms
- Tables of Finite Fourier Transforms
- Tables of Fourier Transforms.
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