Fractional Calculus and Its Applications: Proceedings of the International Conference Held at the University of New Haven, June, 1974 (Lecture Notes)

Science & Math

Ross, Bertram

Mathematics

Springer, Verlag

<p>Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses. Includes selected physical problems which lead to fractional differential or integral equations.</p>

An Introduction to the Fractional Calculus and Fractional Differential Equations

Miller, Kenneth S.

Wiley-Interscience

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.

Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions (Dover Books on Mathematics)

Farrell, Orin J.

Dover Publications

Bertram on Sleight of Hand

Magic

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