Fourier Series and Boundary Value Problems (1987) Book Details Author Ruel V. Churchill James Ward Brown Genre Boundary Value Problems; Fourier Series; Mathematics; Orthogonal Functions Publication Date 1987 Format Paperback (220 x mm) Publisher McGraw-Hill International Language English Plot From Book News, Inc. 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 --This text refers to the Hardcover edition. 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. The second objective is a clear presentation of the classical method of separations of variables used in solving boundary value problems with the aid of those representations. 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. --This text refers to an out of print or unavailable edition of this title. Personal Details Collection Status Not In Collection Store Livraria Interciência Location quarto Purchase Price $11.00 Purchase Date 1988 Condition Good Index 301 Owner Paulo Mendes Read It No Links URL Collection # 00255 Product Details LoC Classification QA404 .C6 1987 Dewey 515/.2433 19 ISBN 0071001646 Edition 04 Printing 3 Series Mathematics Country USA Cover Price $57.65 Nr of Pages 292 First Edition Yes Rare No Notes Bibliography: p. 283-285. Includes index. ISBN original: 0070108811