Sturm-Liouville Theory and its Applications

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Januar 2008



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.


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


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.


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)
EAN: 9781846289712
ISBN: 1846289718
Untertitel: 'Springer Undergraduate Mathematics Series'. Auflage 2008. 25 schw. -w. Abbildungen. Sprache: Englisch.
Verlag: Springer-Verlag GmbH
Erscheinungsdatum: Januar 2008
Seitenanzahl: X
Format: kartoniert
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