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Geometric Function Theory: Explorations in Complex Analysis (Cornerstones) by Steven G. Krantz is a nonfiction available to read on EtoBox.

What is Geometric Function Theory: Explorations in Complex Analysis (Cornerstones) about?

Complex variables is a precise, elegant, and captivating subject. Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research, including: invariant geometry, the Bergman metric, the automorphism groups of domains, extremal length, harmonic measure, boundary regularity of conformal maps, the inhomogeneous Cauchy-Riemann equations, and the corona problem. The author adroitly weaves these varied topics to reveal a number of delightful interactions. Perhaps more importantly, they are presented with an understanding and explanation of their interrelations with other important parts of mathematics: harmonic analysis, differential geometry, partial differential equations, potential theory, abstract algebra, and invariant theory. Containing an extensive bibliography of both monographs and research papers and a thorough index, the book is methodically designed with individualchapters containing a rich collection of exercises, examples, and illustrations.Seeking to capture the imagination of both advancedundergraduate and graduate students with a basic background in complex analysis,the book impartsa solid ed

Who reads Geometric Function Theory: Explorations in Complex Analysis (Cornerstones)?

Author

Steven G. Krantz

Publisher

Birkhäuser Boston

Published

2005

Language

EN

ISBN

9780817644406

Category

nonfiction

Subjects

Mathematics, Stem