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Solved Problems in Analysis
Orin J. FarrellBertram Ross
其他書名
As Applied to Gamma, Beta, Legendre and Bessel Functions
出版Courier Corporation, 2013-11-06
主題Mathematics / Applied
ISBN04867830819780486783086
URLhttp://books.google.com.hk/books?id=fXPDAgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. The first two chapters examine gamma and beta functions, including applications to certain geometrical and physical problems such as heat-flow in a straight wire. The following two chapters treat Legendre polynomials, addressing applications to specific series expansions, steady-state heat-flow temperature distribution, gravitational potential of a circular lamina, and application of Gauss's mechanical quadrature formula with pertinent table. The final chapters explore Bessel functions, discussing differentiation formulas, generating functions, relations to Legendre polynomials, and other applications.
This volume constitutes a useful tool for professional engineers and experimental physicists. Students of mathematics, physics, and engineering will particularly benefit from the book's expanded solutions.