Graduate Texts in Mathematics

Complex Analysis

Authors: Lang, Serge

Free Preview

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-1-4757-1871-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this Textbook

The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the instructor to exercise his taste, and lead the course in whatever direction strikes his fancy at the time. A large number of routine exercises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recom­ mend to anyone to look through them. More recent texts have empha­ sized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex anal­ ysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. The systematic elementary development of formal and convergent power series was standard fare in the German texts, but only Cartan, in the more recent books, includes this material, which I think is quite essential, e. g. , for differential equations. I have written a short text, exhibiting these features, making it applicable to a wide variety of tastes. The book essentially decomposes into two parts.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-1-4757-1871-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Complex Analysis
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
103
Copyright
1985
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-1871-3
DOI
10.1007/978-1-4757-1871-3
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XIV, 370
Number of Illustrations
76 b/w illustrations
Additional Information
Originally published by Addison Wesley 1977
Topics