Integral transforms for engineers / Larry C. Andrews, Bhimsen K. Shivamoggi

By:

Andrews, Larry C [aut]

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SPIE press monograph ; 66Publisher: Bellingham, Wash. <1000 20th St. Bellingham WA 98225-6705 USA> : SPIE, 1999Description: 1 online resource (x, 353 p. : ill.)ISBN:

9780819478481
0819432326
9780819432322

Subject(s):

Integral transforms

Additional physical formats: 0819432326. | 9780819432322. | Available in another form: No title DDC classification:

515.723
515/.723 21

LOC classification:

QA432

DOI: DOI: 10.1117/3.339204Online resources:

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Additional physical formats: Also available in print version.Summary: Integral transform methods provide effective ways to solve a variety of problems arising in the engineering, optical, and physical sciences. Suitable as a self-study for practicing engineers and applied mathematicians and as a textbook in graduate-level courses in optics, engineering sciences, physics, and mathematicsSummary: 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 equationsSummary: 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 -- IndexPPN: PPN: 1018189556Package identifier: Produktsigel: ZDB-50-SPI

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