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Fourier series and boundary value problems /
Mathematicians Brown (U. of Michigan-Dearborn) and Churchill (d. 1987) introduce the Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics to students who have completed a first course in ordinary differential equations. They fo...
| Clasificación: | QA404 Ch6 1978 |
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| Autor principal: | |
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| Formato: | Libro |
| Idioma: | Inglés |
| Publicado: |
New York :
McGraw-Hill,
c1978.
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| Edición: | 3d ed. |
| Temas: |
| Sumario: | Mathematicians Brown (U. of Michigan-Dearborn) and Churchill (d. 1987) introduce the Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics to students who have completed a first course in ordinary differential equations. They footnote texts that give proofs of the more delicate results in advanced calculus that are occasionally needed, and explain the physical application in some detail but on a fairly elementary level. A number of major changes have been made since the 1993 fifth edition.Book News, Inc.®, Portland, OR - * - Book Description This is an introductory treatment of Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It is designed for students who have completed a first course in ordinary differential equations and the equivalent of a term of advanced calculus. In order that the book be accessible to as many students as possible, there are footnotes referring to texts which give proofs of the more delicate results in advanced calculus that are occasionally needed. The physical applications, explained in some detail, are kept on a fairly elementary level. The first objective of the book is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. Representations of functions by Fourier series involving sine and cosine functions are given special attention. Fourier integral representations and expansions in series of Bessel functions and Legendre polynomials are also treated. |
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| Descripción Física: | viii, 271 p. ; 24 cm. |
| Bibliografía: | Includes bibliography: p. 263-265 and index |
| ISBN: | 0070108439 9780070108431 |