Book Cover
E-book
Author Gbur, Greg.

Title Mathematical methods for optical physics and engineering / Gregory J. Gbur
Published Cambridge, U.K. ; New York : Cambridge University Press, 2011
Online access available from:
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Description 1 online resource (xvii, 800 pages) : illustrations
Contents Vector algebra -- Vector calculus -- Vector calculus in curvilinear coordinate systems -- Matrices and linear algebra -- Advanced matrix techniques and tensors -- Distributions -- Infinite series -- Fourier series -- Complex analysis -- Advanced complex analysis -- Fourier transforms -- Other integral transforms -- Discrete transforms -- Ordinary differential equations -- Partial differential equations -- Bessel functions -- Legendre functions and spherical harmonics -- Orthogonal functions -- Green's functions -- The calculus of variations -- Asymptotic techniques -- Appendix A: the gamma functions -- Appendix B: Hypergeometric functions
Summary "The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Optics and Photonics.
Mathematics.
Physics.
Optics -- Mathematics.
Genre/Form Electronic book
Form Electronic book
LC no. 2010036195
ISBN 0511777671 (electronic bk.)
0511913311 (ebk.)
0511915101 (e-book)
0511916914 (electronic bk.)
0511917899
0511918879 (electronic bk.)
9780511777677 (electronic bk.)
9780511913310 (ebk.)
9780511915109 (e-book)
9780511916915 (electronic bk.)
9780511917899
9780511918872 (electronic bk.)
(hardback)
Other Titles Mathematical methods for optical sciences