Overview
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The treatment relies heavily on the convergence properties of sequences and series of numbers as well as functions, and assumes a solid background in advanced calculus and an acquaintance with ordinary differential equations and linear algebra. Familiarity with the relevant theorems of real analysis, such as the Ascoli–Arzelà theorem, is also useful for following the proofs. The presentation follows a clear and rigorous mathematical style that is both readable and well motivated, with many examples and applications used to illustrate the theory. Although addressed primarily to undergraduate students of mathematics, the book will also be of interest to students in related disciplines, such as physics and engineering, where Fourier analysis and special functions are used extensively for solving linear differential equations.
Full Product Details
Author: Mohammed Al-Gwaiz
Publisher: Springer London Ltd
Imprint: Springer London Ltd
Edition: 2008 ed.
Dimensions:
Width: 17.80cm
, Height: 1.30cm
, Length: 25.40cm
Weight: 0.529kg
ISBN: 9781846289712
ISBN 10: 1846289718
Pages: 264
Publication Date: 15 January 2008
Audience:
College/higher education
,
Postgraduate, Research & Scholarly
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
"From the reviews: ""As this book amply demonstrates, Sturm-Liouville theory, a special topic within ordinary different equations, affords the student a nearly perfect case-study-type initiation into higher mathematics. … Summing Up: Recommended. General readers, undergraduates, professionals."" (D. V. Feldman, Choice, Vol. 46 (2), October, 2008)"
From the reviews: <p> As this book amply demonstrates, Sturm-Liouville theory, a special topic within ordinary different equations, affords the student a nearly perfect case-study-type initiation into higher mathematics. a ] Summing Up: Recommended. General readers, undergraduates, professionals. (D. V. Feldman, Choice, Vol. 46 (2), October, 2008)
From the reviews: As this book amply demonstrates, Sturm-Liouville theory, a special topic within ordinary different equations, affords the student a nearly perfect case-study-type initiation into higher mathematics. ... Summing Up: Recommended. General readers, undergraduates, professionals. (D. V. Feldman, Choice, Vol. 46 (2), October, 2008)
Author Information
Mohammed Algwaiz is Professor of Mathematics at King Saud University, Riyadh, and an experienced author having written Theory of Distributions for Marcel Dekker (vol 159, 1992, New York) and five books in Arabic on complex, real and Fourier analysis. He is also involved in developing public school curricula and textbooks for the Ministry of Education in Saudi Arabia.
