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Fourier Series and Boundary Value Problems sixth Edition
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This is an introductory treatment of Fourier series and their applicatio...
Editora: McGraw Hill
ISBN: 0072325704
Autor: James Ward
Páginas: 344
Formato: 16,5 x 24 (impresso)
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504,00
75,60
428,40
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Sinopse: 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 fist course in ordinary differential equations. In order that the book be accessible to as grat a variety of students as possible, there are footnotes 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 orthonormal 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.
The second objective is a clear presentation of the classical method of separation of variables used in solving boundary valye problems with the aid of those representations. In the final chapter, some attention is given to the verification of solutions and to uniqueness of solutions; for the method cannot be presented properly without such considerations. Other methods are treated in the authors’ book Complex Variables and Applications and in Professor Churchill’s book Operational Mathematics. |
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