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Integral transforms for engineers

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Integral transforms for engineers/ Larry C. Andrews, Bhimsen K. Shivamoggi.
作者:	Andrews, Larry C.
其他作者:	Shivamoggi, Bhimsen K.
出版者:	Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :SPIE, : 1999.,
面頁冊數:	1 online resource (x, 353 p. : ill.) :digital file. :
附註:	"SPIE digital library."
標題:	Integral transforms. -
電子資源:	http://dx.doi.org/10.1117/3.339204
ISBN:	9780819478481 (electronic)

Integral transforms for engineers
Andrews, Larry C.

Integral transforms for engineers[electronic resource] /Larry C. Andrews, Bhimsen K. Shivamoggi. - Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :SPIE,1999. - 1 online resource (x, 353 p. : ill.) :digital file. - SPIE Press monograph ;PM66. - SPIE Press monograph ;PM103..

"SPIE digital library."

Includes bibliographical references (p. 335-336) and index.

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.

Restricted to subscribers or individual electronic text purchasers.

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 mathematics.

System requirements: Adobe Acrobat Reader.

ISBN: 9780819478481 (electronic)

Standard No.: 10.1117/3.339204doiSubjects--Topical Terms:

678414
Integral transforms.

LC Class. No.: QA432 / .A63 1999e

Dewey Class. No.: 515/.723

Integral transforms for engineers
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245 1 0 $a Integral transforms for engineers $h [electronic resource] / $c Larry C. Andrews, Bhimsen K. Shivamoggi.
260 $a Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) : $b SPIE, $c 1999.
300 $a 1 online resource (x, 353 p. : ill.) : $b digital file.
490 1 $a SPIE Press monograph ; $v PM66
500 $a "SPIE digital library."
500 $a Originally published: New York : Macmillan, c1988.
504 $a Includes bibliographical references (p. 335-336) and index.
505 0 $a 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.
505 0 $a 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.
506 $a Restricted to subscribers or individual electronic text purchasers.
520 $a 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 mathematics.
530 $a Also available in print version.
538 $a System requirements: Adobe Acrobat Reader.
538 $a Mode of access: World Wide Web.
650 0 $a Integral transforms. $3 678414
700 1 $a Shivamoggi, Bhimsen K. $3 877290
710 2 $a Society of Photo-optical Instrumentation Engineers. $3 700253
830 0 $a SPIE Press monograph ; $v PM103. $3 877204
856 4 0 $u http://dx.doi.org/10.1117/3.339204