Complex analysis with applications to flows and fields
著者
書誌事項
Complex analysis with applications to flows and fields
（Mathematical and physics for science and technology）
CRC Press, c2011
- タイトル別名
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Mathematics and physics for science and technology
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注記
At head of title: Mathematics and physics for science and technology
Includes bibliographical references (p. 953-967) and index
内容説明・目次
内容説明
Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gravity field, electro- and magnetostatics, steady heat conduction, and other problems. It provides the mathematical results to sufficiently justify the solution of these problems, eliminating the need to consult external references.
The book is conveniently divided into four parts. In each part, the mathematical theory appears in odd-numbered chapters while the physical and engineering applications can be found in even-numbered chapters. Each chapter begins with an introduction or summary and concludes with related topics. The last chapter in each section offers a collection of many detailed examples.
This self-contained book gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. It shows how to formulate problems, justify the solutions, and interpret the results.
目次
Complex Domain: Circuits and Stability. Integrals and Residues: Flows and Gravity. Power Series: Electricity and Magnetism. Conformal Mapping: Heat and Aerodynamics. Bibliography. Index.
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