Mohammed Al-Gwaiz

Sturm-Liouville Theory and its Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 on function. The text's presentation follows a clear, rigorous mathematical style that is highly readable and easy to follow. Coverage begins with a description of the mathematical tools for building the Sturm-Liouville theory. Next, the author develops the theory and then presents the fruits of the theory. In addition, the book covers Fourier transforms and extends Fourier series to non-periodic functions. The many worked examples and exercises with solutions make the book suitable for self-study as well as accessible to undergraduate students in mathematics, physics, engineering, and related fields.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 264
• Erscheinungstermin: 21. November 2007
• Englisch
• ISBN-13: 9781846289729
• Artikelnr.: 44219922

Autorenporträt

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.

Inhaltsangabe

Inner Product Space.- The Sturm-Liouville Theory.- Fourier Series.- Orthogonal Polynomials.- Bessel Functions.- The Fourier Transformation.- The Laplace Transformation.

Rezensionen

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)