Lectures on Complex Integration

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics, Applied
Cover of the book Lectures on Complex Integration by A. O. Gogolin, Springer International Publishing
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Author: A. O. Gogolin ISBN: 9783319002125
Publisher: Springer International Publishing Publication: October 22, 2013
Imprint: Springer Language: English
Author: A. O. Gogolin
ISBN: 9783319002125
Publisher: Springer International Publishing
Publication: October 22, 2013
Imprint: Springer
Language: English

The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.

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The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.

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