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.

Fourier Series and Boundary Value Problems

Science & Math

Brown, James Ward

Mathematics

Mcgraw-Hill College

"Complex Variables and Applications, 8E" will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.

Complex Variables & Applications, Windows - 1995 publication

Churchill, Ruel Vance

Complex variables and applications

Complex Variables and Applications

Churchill, Ruel V.

Verhey, Rog

McGraw=Hill

Complex Variables and Applications (McGraw-Hill Series in Higher Mathematics)

Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.

McGraw-Hill Science/Engineering/Math.

Student Solutions Manual for use with Complex Variables and Applications, 7th edition. Selected solutions to exercises in chapters 1-7.

Student Solutions Manual to accompany Complex Variables and Applications

Complex Variables and Applications, 9e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.

Complex Variables and Applications (Brown and Churchill)

About the Author\nRUEL V. CHURCHILL (University of Michigan)

Student's Solutions Manual to accompany Complex Variables and Applications

Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. 
 There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations. 
 The book is a thorough revision of the seventh edition and much care is taken to give the student fewer distractions when determining solutions of eigenvalue problems, and other topics have been presented in their own sections like Gibbs' Phenomenon and the Poisson integral formula.

Fourier Series and Boundary Value Problems (Brown and Churchill Series)

See the best price to sell, buy, or rent books by Brown, James Ward. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Brown, James Ward

See the best price to sell, buy, or rent books by Brown, James Ward. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Fourier Series and Boundary Value Problems

Complex Variables & Applications, Windows - 1995 publication

Complex Variables and Applications

Complex Variables and Applications (McGraw-Hill Series in Higher Mathematics)

Fourier Series and Boundary Value Problems

Complex Variables and Applications

Student Solutions Manual to accompany Complex Variables and Applications

Complex Variables and Applications (Brown and Churchill)

Student's Solutions Manual to accompany Complex Variables and Applications

Fourier Series and Boundary Value Problems (Brown and Churchill Series)