Gregory J. GburCambridge University Press, 1/6/2011EAN 9780521516105, ISBN10: 0521516102Hardcover, 800 pages, 25.4 x 18.2 x 4.1 cmLanguage: EnglishThe 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.1. Vector algebra2. Vector calculus3. Vector calculus in curvilinear coordinate systems4. Matrices and linear algebra5. Advanced matrix techniques and tensors6. Distributions7. Infinite series8. Fourier series9. Complex analysis10. Advanced complex analysis11. Fourier transforms12. Other integral transforms13. Discrete transforms14. Ordinary differential equations15. Partial differential equations16. Bessel functions17. Legendre functions and spherical harmonics18. Orthogonal functions19. Green's functions20. The calculus of variations21. Asymptotic techniquesAppendicesReferencesIndex.
