2nd Edition

Complex Variables A Physical Approach with Applications

By Steven G. Krantz Copyright 2019
378 Pages 96 B/W Illustrations
by Chapman & Hall

378 Pages 96 B/W Illustrations
by Chapman & Hall

377 Pages 96 B/W Illustrations
by Chapman & Hall

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... Read more

Basic Ideas



The Exponential and Applications



Holomorphic and Harmonic Functions



The Cauchy Theory



Applications of the Cauchy Theory



Isolated Singularities



Meromorphic Functions



The Calculus of Residues



The Argument Principle



The Maximum Principle



The Geometric Theory



Applications of Conformal Mapping



Harmonic Functions



The Fourier Theory



Other Transforms



Boundary Value Problems



 



 

Biography

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.