Gbur, Greg. creator text bibliography enk Cambridge New York Cambridge University Press c2011 2011 monographic eng

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xvii, 800 p. : ill. ; 26 cm. "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"-- Machine generated contents note: 1. Vector algebra; 2. Vector calculus; 3. Vector calculus in curvilinear coordinate systems; 4. Matrices and linear algebra; 5. Advanced matrix techniques and tensors; 6. Distributions; 7. Infinite series; 8. Fourier series; 9. Complex analysis; 10. Advanced complex analysis; 11. Fourier transforms; 12. Other integral transforms; 13. Discrete transforms; 14. Ordinary differential equations; 15. Partial differential equations; 16. Bessel functions; 17. Legendre functions and spherical harmonics; 18. Orthogonal functions; 19. Green's functions; 20. The calculus of variations; 21. Asymptotic techniques; Appendices; References; Index. Greg Gbur Includes bibliographical references (p. 787-792) and index. Includes bibliographical references and index. Optics Mathematics QC355.3 .G38 2011 535.0151 9780521516105 (hardback) 2010036195 http://www.loc.gov/catdir/enhancements/fy1012/2010036195-b.html http://www.loc.gov/catdir/enhancements/fy1012/2010036195-d.html http://www.loc.gov/catdir/enhancements/fy1012/2010036195-t.html http://www.loc.gov/catdir/enhancements/fy1012/2010036195-b.html http://www.loc.gov/catdir/enhancements/fy1012/2010036195-d.html http://www.loc.gov/catdir/enhancements/fy1012/2010036195-t.html DLC 100823 20170105102349.0 16429439