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Applied complex variables for scient...
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Kwok, Y. K. (1957-)
Applied complex variables for scientists and engineers
紀錄類型:
書目-語言資料,印刷品 : 單行本
作者:
KwokY. K., 1957-
出版地:
Cambridge
出版者:
Cambridge University Press;
出版年:
2010
版本:
2nd ed.
面頁冊數:
xi, 438 p.ill. : 23 cm.;
標題:
Functions of complex variables -
電子資源:
http://assets.cambridge.org/97805217/01389/cover/9780521701389.jpg
附註:
Includes index
摘要註:
"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"--Provided by publisher
ISBN:
978-0-521-70138-9
內容註:
Machine generated contents note: Preface; 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; Answers to problems; Index
Applied complex variables for scientists and engineers
Kwok, Y. K.
Applied complex variables for scientists and engineers
/ Yue Kuen Kwok - 2nd ed.. - Cambridge : Cambridge University Press, 2010. - xi, 438 p. ; ill. ; 23 cm..
Machine generated contents note: Preface; 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; Answers to problems; Index.
Includes index.
ISBN 978-0-521-70138-9ISBN 0-521-70138-4
Functions of complex variables
Applied complex variables for scientists and engineers
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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"--Provided by publisher
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"This textbook is intended to be an introduction to complex variables for mathematics, science and engineering undergraduate students. It presents the important analytical concepts and techniques in deriving most of the standard theoretical results in introductory complex function theory. This book emphasizes on how to use complex variable methods. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. These examples serve to illustrate the uses and implications of complex function theory. The materials covered in the book equip students with the analytical concepts of complex function theory together with the technical skills to apply complex variable methods to physical problems. Throughout the textbook, both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced"--Provided by publisher
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