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Applied Complex Variables for Scientists and Engineers

Author : Yue Kuen Kwok
Publisher : Cambridge University Press
Page : 451 pages
File Size : 11,58 MB
Release : 2010-06-24
Category : Mathematics
ISBN : 113948883X

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This introduction to complex variable methods 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. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.

Complex Variables for Scientists and Engineers

Author : John D. Paliouras
Publisher : Courier Corporation
Page : 612 pages
File Size : 28,36 MB
Release : 2014-02-20
Category : Mathematics
ISBN : 0486493474

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Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.

Applied Complex Variables for Scientists and Engineers

Author : Yue Kuen Kwok
Publisher : Cambridge University Press
Page : 410 pages
File Size : 42,9 MB
Release : 2002-02-07
Category : Mathematics
ISBN : 9780521004626

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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.

Complex Variables for Scientists and Engineers

Author : Richard Norton
Publisher : OUP Oxford
Page : 464 pages
File Size : 25,88 MB
Release : 2010-07-22
Category : Science
ISBN : 0198509820

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This undergraduate textbook on the theory of functions of a complex variable explains the standard introductory material, clearly but in depth, with many examples and applications, and also introduces more advanced topics. Primarily an introductory text, it will be useful at a more advanced level and as a reference.

Complex Variables for Scientists and Engineers

Author : Richard Norton
Publisher : OUP Oxford
Page : 0 pages
File Size : 47,6 MB
Release : 2010-07-22
Category : Science
ISBN : 9780198509837

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This undergraduate textbook on the theory of functions of a complex variable explains the standard introductory material, clearly but in depth, with many examples and applications, and also introduces more advanced topics. Primarily an introductory text, it will be useful at a more advanced level and as a reference.

Functions of a Complex Variable

Author : George F. Carrier
Publisher : SIAM
Page : 451 pages
File Size : 16,74 MB
Release : 2005-01-01
Category : Mathematics
ISBN : 9780898719116

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Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions. The book makes available to readers a comprehensive range of these analytical techniques based upon complex variable theory. Advanced topics covered include asymptotics, transforms, the Wiener-Hopf method, and dual and singular integral equations. The authors provide many exercises, incorporating them into the body of the text. Audience: intended for applied mathematicians, scientists, engineers, and senior or graduate-level students who have advanced knowledge in calculus and are interested in such subjects as complex variable theory, function theory, mathematical methods, advanced engineering mathematics, and mathematical physics.

Complex Variables and the Laplace Transform for Engineers

Author : Wilbur R. LePage
Publisher : Courier Corporation
Page : 516 pages
File Size : 42,95 MB
Release : 2012-04-26
Category : Technology & Engineering
ISBN : 0486136442

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Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.