A Course in Complex Analysis and Riemann Surfaces (Graduate Studies in Mathematics, 154) - Hardcover

Schlag, Wilhelm

Hardcover

ISBN 10: 0821898477 ISBN 13: 9780821898475

Publisher: Amer Mathematical Society, 2014

Synopsis

Schlag presents a textbook for a one-quarter first-year graduate course in analysis for mathematics majors that covers real analysis and measure theory, and functional analysis and applications. It also discusses elementary aspects of complex analysis such as the Cauchy integral theorem, the residue theorem, Laurent series, the Riemann mapping theorem, and more advanced material selected from Riemann surface theory. He does not try to complete with specialized textbooks or classic treatises on these topics, he says, but offers a fairly detailed yet fast-paced introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics such as geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)

About this title

About the Author

Wilhelm Schlag, University of Chicago, IL, USA

Review

"[T]his is an extremely valuable textbook for graduate classical complex analysis in one variable both for lecturers and students not following the increasing standardization trends of student's curricula...The presentation style is excellent, a very well contemplated pleasant reading throughout, rich in interesting outlooks. I recommend this work to all the mathematical libraries at universities as an extremely helpful material in teaching or studying complex analysis." - Laszlo L. Stacho, ACTA Sci. Math

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 2014
• Language: English
• ISBN 10: 0821898477
• ISBN 13: 9780821898475
• Binding: Hardcover
• Number of pages: 384