Eberhard Freitag

eBook, PDF

Complex Analysis 2 (eBook, PDF)

Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions

Beschreibung

The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ¯rst volume. There is no comparable treatment in the literature.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 3.07MB

Barrierefreiheit

• Text-to-Speech

Autor

Prof. Dr. Eberhard Freitag, Universität Heidelberg, Mathematisches Institut

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 506
• Erscheinungstermin: 10. Juni 2011
• Englisch
• ISBN-13: 9783642205545
• Artikelnr.: 44126173

Rezensionen

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 theEnglish 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)