"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

Science & Math

Brown, James Ward

Churchill, Ruel Vance

Mathematics

Mcgraw-Hill College

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

McGraw-Hill Companies

This revised and expanded third edition is a textbook and reference on the theory and applications of those integral transformations that are most useful in solving problems in linear differential equations. It presents a careful revision of the theory and applications of Laplace transforms, chapters on finite and exponential Fourier transforms, Fourier transforms on the half line, Hankel, Legendre and other intergral transforms, and previously unpublished material on general integral transforms.

Operational Mathematics

1987, 4th hardcover edition, McGraw-Hill, NY. 292 pages. A very technical, scholarly, learned title, presenting material on higher mathematics. This is not a book for the faint of heart. Written by two university mathematics experts. For the right person, this will be nirvana, indeed. This 4th edition of a standard work has been reorganized for clarity. The first 5 chapters, according to the authors, could be used for a short course on Fourier series. Twice as many figures as previous editions and new problems have been introduced.

Fourier series and boundary value problems

McGraw=Hill

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

Complex Variables and Applications

McGraw-Hill Science/Engineering/Math.

This text is part of the International Series in Pure and Applied Mathematics. It is designed for junior, senior, and first-year graduate students in mathematics and engineering. This edition preserves the basic content and style of earlier editions and includes many new and relevant applications which are introduced early in the text.

Complex Variables and Applications : Macintosh (Churchill-Brown Series)

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Books by Churchill, Ruel Vance