Sturm-Liouville Theory and Its Applications (Springer Undergraduate Mathematics)

New
Paperback
2007
$36.50

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 text's presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.

Synopsis

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 text's presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.

$36.50

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More Information

Format: Paperback
Pages: 274
Edition: 2008
Publisher: Springer
Published: 11 Dec 2007
ISBN 10: 1846289718
ISBN 13: 9781846289712

Media 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)

Author Bio

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.