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Sturm-Liouville Theory and its Applications

Undergraduate textbooks on Fourier series which follow a pointwise approach to convergence miss the rich geometric content which comes with treating the subject within the inner product space L2. This book, developed from a course taught to senior undergraduates, provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The basic results of this theory, namely the orthogonality and completeness of its eigenfunctions, are established in Chapter 2; the remaining chapters present examples and applications. The last two chapters, on Fourier and Laplace transformations, while not part of the Sturm-Liouville theory, extend the Fourier series method for representing functions to integral representations.

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	Science/Engineering Sturm-Liouville Theory and its Applications Mohammed Abdelrahman Al-Gwaiz “Sturm-Liouville Theory and its Applications" Springer \| 2007-12-11 \| ISBN: 1846289718 \| 266 pages \| PDF \| 2 Mb
	Programming Spectral Theory and Computational Methods of Sturm-liouville Problems Spectral Theory and Computational Methods of Sturm-liouville Problems (Lecture Notes in Pure and Applied Mathematics): Don Hinton CRC \| ISBN: 0824700309 \| 1997-05-06 \| djvu (ocr) \| 416 pages \| 3.15 Mb Presenting the proceedings of a recent ...
	Introduction to Conformal Field Theory: With Applications to String Theory (repost) Introduction to Conformal Field Theory: With Applications to String Theory Springer \| 2009 \| ISBN: 3642004490 \| 265 pages \| PDF \| 2,4 MB Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special ...
	Science/Engineering Sturm-Liouville Theory: Past and Present This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles Fran?ois Sturm. It aims at giving an overview of the development ...
	Technical Spectral Theory & Computational Methods of Sturm-liouville Problems (Lecture Notes in Pure and Applied Mathematics) ISBN: 0824700309 Publisher: CRC Press Author: Don HintonDescription:Presenting the proceedings of a recent conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tenness ...
	Sturm-Liouville Theory and its Applications (Springer Undergraduate Mathematics Series) Author: M.A. Al-GwaizPublisher: Springer (2007)Binding: Paperback, 266 pagespricer: $39.95ISBN-10: 1846289718editorialreviewsUndergraduate textbooks on Fourier series which follow a pointwise approach to convergence miss the rich geometric ...

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