| 청구기호 |
QA432 .A63 1999e |
| 형태사항 |
1 online resource (x, 353 p. : ill.) : digital file.
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| 총서명 |
SPIE Press monograph ; PM66
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| 언어 |
English |
| 일반주기 |
"SPIE digital library."
Originally published: New York : Macmillan, c1988.
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| 서지주기 |
Includes bibliographical references (p. 335-336) and index.
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| 내용 |
Special functions -- Introduction -- The gamma function -- The error function and related functions -- Bessel functions -- Useful engineering functions -- Fourier integrals and Fourier transforms -- Introduction -- Fourier integral representations -- Proof of the Fourier integral theorem -- Fourier transform pairs -- Properties of the Fourier transform -- Transforms of more complicated functions -- The convolution integrals of Fourier -- Transforms involving generalized functions -- Hilbert transforms -- Additional topics -- Applications involving Fourier transforms -- Introduction -- Boundary value problems -- Heat conduction in solids -- Mechanical vibrations -- Potential theory -- Hydrodynamics -- Elasticity in two dimensions -- Probability and statistics -- The Laplace transform -- Introduction -- The transforms of some typical functions -- Basic operational properties -- Transforms of more complicated functions -- The inverse Laplace transform -- Complex inversion formula -- Additional topics -- Applications involving Laplace transforms -- Introduction -- Evaluating integrals -- Solutions of ODEs -- Solutions of PDEs -- Linear integral equations.
The Mellin transform -- Introduction -- Evaluation of Mellin transforms -- Complex variable methods -- Applications -- Table of Mellin transforms -- The Hankel transform -- Introduction -- Evaluation of Hankel transforms -- Applications -- Table of Hankel transforms -- Finite transforms -- Introduction -- Finite Fourier transforms -- Sturm-Liouville transforms -- Finite Hankel transform -- Discrete transforms -- Introduction -- Discrete Fourier transform -- The Z transform -- Difference equations -- Table of Z transforms -- Bibliography -- Appendix A: Review of complex variables -- Appendix B: Table of Fourier transforms -- Appendix C: Table of Laplace transforms -- Index.
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| 주제 |
Integral transforms.
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| 보유판 및 특별호 저록 |
(Original) 0819432326 , 99014143
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| ISBN |
9780819478481 (electronic)
, 0819432326 (print)
, 9780819432322 (print)
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| 기타 표준번호 |
10.1117/3.339204 |
| QR CODE |
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