Applied Complex Variables for Scientists and Engineers

Yue-Kuen Kwok

392 pages, parution le 21/01/2002

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Résumé

This is an introduction to complex variable methods for scientists and engineers. It begins by carefully defining complex numbers and analytic functions, and proceeds to give 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 emphasis is laid on understanding the use of methods, rather than on rigorous proofs. One feature that will appeal to scientists is the high proportion of the book devoted to applications of the material to physical problems. These include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. 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.

Contents

1. Complex numbers
2. Analytic functions
3. Exponential, logarithmic and trigonometric functions
4. Complex integration
5. Taylor and Laurent series
6. Singularities and calculus of residues
7. Boundary value problems and initial-boundary value problems
8. Conformal mappings and applications
Solutions to exercises

L'auteur - Yue-Kuen Kwok

Yue-Kuen Kwok, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Yue-Kuen Kwok
Parution	21/01/2002
Nb. de pages	392
Format	15 x 22,8
Couverture	Broché
Poids	650g
Intérieur	Noir et Blanc
EAN13	9780521004626
ISBN13	978-0-521-00462-6