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Gbur G.J. Mathematical Methods for Optical Physics and Engineering
Cambridge University Press, 2011, 800 pages

The first textbook on mathematical methods focusing on techniques for optical science and engineering, this textbook is ideal for advanced undergraduates 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, suchas Zeike 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 in eachch apter based on researchpublications, together with numerous exercises, help to further strengthen the connection between the theory and its application.
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