Complex Variables

A Physical Approach with Applications

Steven G. Krantz

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English

Chapman & Hall/CRC
21 January 2023

Complex analysis, complex variables

Series: Textbooks in Mathematics

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.

By: Steven G. Krantz
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions: Height: 254mm, Width: 178mm,
Weight: 698g
ISBN: 9781032475691
ISBN 10: 1032475692
Series: Textbooks in Mathematics
Pages: 378
Publication Date: 21 January 2023
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Pennsylvania State University. He has written more than 130 books and more than 250 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.