Complex Analysis with Applications in Science and Engineering

ISBN-13: 9781441944566 / Angielski / Miękka / 2010 / 477 str.

Harold Cohen

Opis

Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as a textbook for undergraduate and graduate students in the areas noted above. Key Features of this Second Edition: Excellent coverage of topics such as series, residues and the evaluation of integrals, multivalued functions, conformal mapping, dispersion relations and analytic continuation Systematic and clear presentation with many diagrams to clarify discussion of the material Numerous worked examples and a large number of assigned problems

Recenzje

From the reviews of the second edition:

"The book is aimed to two purposes: to present material for a first course in complex analysis ... and to provide subjects for a second course ... . The book is recommended for teaching and for self-study." (Heinrich Begehr, Zentralblatt MATH, Vol. 1195, 2010)

Spis treści

Complex Numbers.- Complex Variables.- Series, Limits, and Residues.- Evaluation of Integrals.- Multivalued Functions, Branch Points, and Cuts.- Singularities of Functions Defined by Integrals.- Conformal Mapping.- Dispersion Relations.- Analytic Continuation.

Blurb

Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as a textbook for undergraduate and graduate students in the areas noted above.

Key Features of this Second Edition:

Excellent coverage of topics such as series, residues and the evaluation of integrals, multivalued functions, conformal mapping, dispersion relations and analytic continuation

Systematic and clear presentation with many diagrams to clarify discussion of the material

Numerous worked examples and a large number of assigned problems

Excerpts from reviews of the 1st edition:

"The textbook Fundamentals and Applications of Complex Analysis by Harold Cohen is an idiosyncratic treatment of the subject, written by a physicist, with lots of interesting insights and alternative ways of viewing the ideas and methods of complex analysis. The book includes several excursions into applications of interest to physicists and electrical engineers, as circuit analysis and a chapter on dispersion relations. The book would be of particular interest to physics and electrical engineering students. Mathematicians might find it a good hunting ground for offbeat approaches to familiar themes and for various other serendipities."

—Theodore W. Gamelin, professor of mathematics, UCLA

"This book might be useful for readers who are still familiar with complex analysis and who are searching for several examples, exercises or applications in physics and engineering…"

— Zentralblatt Math