Inhaltsangabe
Recent decades have seen profound changes in the way we understand complex analysis. This new work presents a much-needed modern treatment of the subject, incorporating the latest developments and providing a rigorous yet accessible introduction to the concepts and proofs of this fundamental branch of mathematics. With its thorough review of the prerequisites and well-balanced mix of theory and practice, this book will appeal both to readers interested in pursuing advanced topics as well as those wishing to explore the many applications of complex analysis to engineering and the physical sciences.
* Reviews the necessary calculus, bringing readers quickly up to speed on the material
* Illustrates the theory, techniques, and reasoning through the use of short proofs and many examples
* Demystifies complex versus real differentiability for functions from the plane to the plane
* Develops Cauchy's Theorem, presenting the powerful and easy-to-use winding-number version
* Contains over 100 sophisticated graphics to provide helpful examples and reinforce important concepts
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Über die Autorin bzw. den Autor
O. Carruth McGehee is the author of An Introduction to Complex Analysis, published by Wiley.
Von der hinteren Coverseite
Recent decades have seen profound changes in the way we understand complex analysis. This new work presents a much-needed modern treatment of the subject, incorporating the latest developments and providing a rigorous yet accessible introduction to the concepts and proofs of this fundamental branch of mathematics. With its thorough review of the prerequisites and well-balanced mix of theory and practice, this book will appeal both to readers interested in pursuing advanced topics as well as those wishing to explore the many applications of complex analysis to engineering and the physical sciences.
* Reviews the necessary calculus, bringing readers quickly up to speed on the material
* Illustrates the theory, techniques, and reasoning through the use of short proofs and many examples
* Demystifies complex versus real differentiability for functions from the plane to the plane
* Develops Cauchy's Theorem, presenting the powerful and easy-to-use winding-number version
* Contains over 100 sophisticated graphics to provide helpful examples and reinforce important concepts
Aus dem Klappentext
Recent decades have seen profound changes in the way we understand complex analysis. This new work presents a much-needed modern treatment of the subject, incorporating the latest developments and providing a rigorous yet accessible introduction to the concepts and proofs of this fundamental branch of mathematics. With its thorough review of the prerequisites and well-balanced mix of theory and practice, this book will appeal both to readers interested in pursuing advanced topics as well as those wishing to explore the many applications of complex analysis to engineering and the physical sciences.
* Reviews the necessary calculus, bringing readers quickly up to speed on the material
* Illustrates the theory, techniques, and reasoning through the use of short proofs and many examples
* Demystifies complex versus real differentiability for functions from the plane to the plane
* Develops Cauchy's Theorem, presenting the powerful and easy-to-use winding-number version
* Contains over 100 sophisticated graphics to provide helpful examples and reinforce important concepts
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Gebunden. Zustand: New. .well written ,very readable.stylish, up-to-date text. (The Mathematical Gazette, July 2002)McGehee discusses the basics of complex variables and a few applications to physics in a rigorous and understandable manner. He begins with motivation and th. Artikel-Nr. 446915997
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Zustand: New. This work aims to offer an accessible introduction to the theory of complex analysis - a fundamental branch of mathematics that has important applications in many areas of the physical sciences. It introduces the connection to problem states in terms of real analysis. Num Pages: 456 pages, references, index. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 239 x 168 x 27. Weight in Grams: 758. . 2000. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780471332336
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