Applied Complex Variables for Scientists and Engineers

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9780521803021: Applied Complex Variables for Scientists and Engineers

This introduction to complex variable methods for scientists and engineers begins by carefully defining complex numbers and analytic functions and then offers accounts of complex integration, Taylor series, singularities, residues, and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The book emphasizes the importance of understanding the use of methods, rather than on rigorous proofs. The book's devotion to applications of the material to physical problems will appeal to scientists. Example applications include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. With 300 stimulating exercises and solutions it will be highly suitable for students wishing to learn the elements of complex analysis in an applied context.

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Book Description:

This is an introductory text on complex variable methods for scientists and engineers. It starts out from the basics and proceeds to give accounts of many subjects of use in the sciences, with a high proportion of the book devoted to applications of the material to physical problems. The text contains some 300 stimulating exercises of high quality, with solutions given to many of them. It will be highly suitable for students wishing to learn the elements of complex analysis in an applied context.

About the Author:

Yue Kuen Kwok is a Professor in the Department of Mathematics at the Hong Kong University of Science and Technology.

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Yue Kuen Kwok
Published by Cambridge University Press (2002)
ISBN 10: 0521803020 ISBN 13: 9780521803021
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