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 ztransform, 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 (ebook) 

0511916914 (electronic bk.) 

0511917899 

0511918879 (electronic bk.) 

9780511777677 (electronic bk.) 

9780511913310 (ebk.) 

9780511915109 (ebook) 

9780511916915 (electronic bk.) 

9780511917899 

9780511918872 (electronic bk.) 

(hardback) 
