Overview
- All needed notions are developed within the book with the exception of fundamentals, which are presented in introductory lectures; no other knowledge is assumed
- Provides a more in-depth introduction to the subject than other existing books in this area
- Many exercises including hints for solutions are included
Part of the book series: Universitext (UTX)
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Table of contents (8 chapters)
Keywords
About this book
Reviews
From the reviews:
“The book under review is the second volume of the textbook Complex analysis, consisting of 8 chapters. It provides an approach to the theory of Riemann surfaces from complex analysis. … The book is self-contained and, moreover, some notions which might be unfamiliar for the reader are explained in appendices of chapters. … this book is an excellent textbook on Riemann surfaces, especially for graduate students who have taken the first course of complex analysis.” (Hiroshige Shiga, Mathematical Reviews, Issue 2012 f)
“The book under review is largely self-contained, pleasantly down-to-earth, remarkably versatile, and highly educating simultaneously. No doubt, this fine textbook provides an excellent source for the further study of more advanced and topical themes in the theory of Riemann surfaces, their Jacobians and moduli spaces, and in the general theory of complex Abelian varieties and modular forms likewise. It is very welcome that the English translation of the German original has been made available so quickly!” (Werner Kleinert, Zentralblatt MATH, Vol. 1234, 2012)
“The author provides a (very brief) introduction to fundamental notions of topology, but develops fully the theory of surfaces and covering spaces he needs. … the book includes a proof of the classification of compact orientable surfaces by their genus. … this one is definitely a graduate text. … There is a lot of mathematics in this book, presented efficiently and well. … It is a book I am glad to have, and that I will certainly refer to in the future.” (Fernando Q. Gouvêa, The Mathematical Association of America, May, 2012)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Complex Analysis 2
Book Subtitle: Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions
Authors: Eberhard Freitag
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-642-20554-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2011
Softcover ISBN: 978-3-642-20553-8Published: 29 June 2011
eBook ISBN: 978-3-642-20554-5Published: 10 June 2011
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 2
Number of Pages: XIII, 506
Number of Illustrations: 51 b/w illustrations
Topics: Several Complex Variables and Analytic Spaces, Functions of a Complex Variable