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Fourier Series and Orthogonal Polynomials

Dunham Jackson


The MAA is pleased to re-issue the early Carus Mathematical Monographs in ebook and print-on-demand formats. Readers with an interest in the history of the undergraduate curriculum or the history of a particular field will be rewarded by study of these very clear and approachable little volumes.

The underlying theme of this monograph is that the fundamental simplicity of the properties of orthogonal functions and the developments in series associated with them makes those functions important areas of study for students of both pure and applied mathematics.

The book starts with Fourier series and goes on to Legendre polynomials and Bessel functions. Jackson considers a variety of boundary value problems using Fourier series and Laplace’s equation. Chapter VI is an overview of Pearson frequency functions. Chapters on orthogonal, Jacobi, Hermite, and Laguerre functions follow. The final chapter deals with convergence. There is a set of exercises and a bibliography.

For the reading of most of the book no specific preparation is required beyond a first course in the calculus. A certain amount of “mathematical maturity” is presupposed, or should be acquired in the course of the reading.

Print-on-Demand (POD) books are not returnable because they are printed at your request. Damaged books will, of course, be replaced (customer support information is on your receipt). Please note that all Print-on-Demand books are paperbound.

Electronic ISBN: 9781614440062

Paperback ISBN: 9780883851357

Hardcover (out of print) ISBN: 9780883850060

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Fourier Series and Orthogonal Polynomials 18.00 $39.00 pod shopping cart

 

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