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Complex Analysis through Examples and Exercises : Kluwer Texts in the Mathematical Sciences, V. 21 - E. Pap

Complex Analysis through Examples and Exercises

Kluwer Texts in the Mathematical Sciences, V. 21

By: E. Pap

Hardcover Published: 31st July 1999
ISBN: 9780792357872
Number Of Pages: 337

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The book Complex Analysis through Examples and Exercises has come out from the lectures and exercises that the author held mostly for mathematician and physists . The book is an attempt to present the rat her involved subject of complex analysis through an active approach by the reader. Thus this book is a complex combination of theory and examples. Complex analysis is involved in all branches of mathematics. It often happens that the complex analysis is the shortest path for solving a problem in real circumĀ­ stances. We are using the (Cauchy) integral approach and the (Weierstrass) power se ries approach . In the theory of complex analysis, on the hand one has an interplay of several mathematical disciplines, while on the other various methods, tools, and approaches. In view of that, the exposition of new notions and methods in our book is taken step by step. A minimal amount of expository theory is included at the beinning of each section, the Preliminaries, with maximum effort placed on weil selected examples and exercises capturing the essence of the material. Actually, I have divided the problems into two classes called Examples and Exercises (some of them often also contain proofs of the statements from the Preliminaries). The examples contain complete solutions and serve as a model for solving similar problems given in the exercises. The readers are left to find the solution in the exercisesj the answers, and, occasionally, some hints, are still given.

The Complex Numbersp. 1
Sequences and seriesp. 37
Complex functionsp. 53
Conformal mappingsp. 73
The Integralp. 103
The Analytic functionsp. 129
Isolated Singularitiesp. 171
Residuesp. 191
Analytic continuationp. 227
Integral transformsp. 255
Miscellaneous Examplesp. 313
Bibliographyp. 333
List of Symbolsp. 335
Indexp. 336
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792357872
ISBN-10: 0792357876
Series: Kluwer Texts in the Mathematical Sciences, V. 21
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 337
Published: 31st July 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 3.18
Weight (kg): 0.3