Complex Analysis and Applications

Alan Jeffrey (University of Newcastle upon Tyne, UK)

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English

Chapman & Hall/CRC
10 November 2005

Complex analysis, complex variables; Energy technology & engineering

Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems.

A discussion of complex analysis now forms the first three chapters of the book, with a description of conformal mapping and its application to boundary value problems for the two-dimensional Laplace equation forming the final two chapters. This new structure enables students to study theory and applications separately, as needed.

In order to maintain brevity and clarity, the text limits the application of complex analysis to two-dimensional boundary value problems related to temperature distribution, fluid flow, and electrostatics. In each case, in order to show the relevance of complex analysis, each application is preceded by mathematical background that demonstrates how a real valued potential function and its related complex potential can be derived from the mathematics that describes the physical situation.

By: Alan Jeffrey (University of Newcastle upon Tyne UK)
Imprint: Chapman & Hall/CRC
Country of Publication: United States
Edition: 2nd edition
Dimensions: Height: 234mm, Width: 156mm, Spine: 35mm
Weight: 975g
ISBN: 9781584885535
ISBN 10: 158488553X
Pages: 592
Publication Date: 10 November 2005
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Analytic Functions. Complex Integration. Taylor and Laurent Series: Residue Theorem and Applications. Conformal Mapping. Boundary Value Problems, Potential Theory, and Conformal Mapping.

Alan Jeffrey

Reviews for Complex Analysis and Applications

“This book is an excellent textbook, well written, and enjoyable. It is warmly recommended to students of applied mathematics and engineering that are interested in various applications of complex analysis.” — Gabriela Kohr, writing in Zentralblatt MATH, Vol. 1113, 2007