Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions 9780486493909

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Автор: Farrell, Orin
Название: Solved Problems in Analysis: As Applied to Gamma, Beta, Legendre and Bessel Functions
Перевод названия: Орин Фаррелл: Решенные задачи мат. анализа. Приложения Гамма -, Бета-функций, а также функций Лежандра и Бесселя
ISBN: 9780486493909
Издательство: Dover
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 0486493903
Обложка/Формат: Paperback
Страницы: 416
Вес: 0.486 кг.
Дата издания: 30.12.2013
Серия: Dover books on mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 142 x 216 x 39
Читательская аудитория: General (us: trade)
Подзаголовок: As applied to gamma, beta, legendre and bessel functions
Рейтинг:
Поставляется из: США
Описание: 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 Gausss 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 books expanded solutions.