Complex Variables

A Physical Approach with Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Complex Variables by Steven G. Krantz, CRC Press
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Author: Steven G. Krantz ISBN: 9781000007183
Publisher: CRC Press Publication: April 16, 2019
Imprint: Chapman and Hall/CRC Language: English
Author: Steven G. Krantz
ISBN: 9781000007183
Publisher: CRC Press
Publication: April 16, 2019
Imprint: Chapman and Hall/CRC
Language: English

The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers.

This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications.

Features:

  • This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis

  • This book has an exceptionally large number of examples and a large number of figures.

  • The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking.

  • Incisive applications appear throughout the book.

  • Partial differential equations are used as a unifying theme.

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The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers.

This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications.

Features:

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