Solved Problems in Analysis

As Applied to Gamma, Beta, Legendre and Bessel Functions

By Orin J. Farrell and Bertram Ross

$22.95

Publication Date: 24th October 2013

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 quadra... Read More
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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 quadra... Read More
Description
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.

Dover (2013) corrected republication of Solved Problems: Gamma and Beta Functions, Legendre Polynomials, Bessel Functions, originally published by Macmillan, New York, 1963.
Details
  • Price: $22.95
  • Pages: 416
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 24th October 2013
  • Trim Size: 5.5 x 8.5 in
  • ISBN: 9780486493909
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Applied
Author Bio
Orin J. Farrell was Professor of Mathematics at Union College.
Bertram Ross was Professor of Mathematics at New Haven College.
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.

Dover (2013) corrected republication of Solved Problems: Gamma and Beta Functions, Legendre Polynomials, Bessel Functions, originally published by Macmillan, New York, 1963.
  • Price: $22.95
  • Pages: 416
  • Publisher: Dover Publications
  • Imprint: Dover Publications
  • Series: Dover Books on Mathematics
  • Publication Date: 24th October 2013
  • Trim Size: 5.5 x 8.5 in
  • ISBN: 9780486493909
  • Format: Paperback
  • BISACs:
    MATHEMATICS / Applied
Orin J. Farrell was Professor of Mathematics at Union College.
Bertram Ross was Professor of Mathematics at New Haven College.