Moscow Lectures

Principles of Complex Analysis

Authors: Lvovski, Serge

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  • Conformal mappings are introduced on an early stage, so the reader can learn to manipulate with subsets of the complex plane before passing to more sophisticated subjects
  • A special long section is devoted to evaluation of residues and evaluation of integrals using residues
  • The final chapter, which is devoted to Riemann surfaces, provides an elementary introduction into this subject which motivates the reader to study more technical parts of the theory
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Hardcover 83,19 €
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  • ISBN 978-3-030-59364-3
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About this Textbook

This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. The author stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. The exposition is rigorous but elementary: abstract notions are introduced only if they are really indispensable. This approach provides a motivation for the reader to digest more abstract definitions (e.g., those of sheaves or line bundles, which are not mentioned in the book) when he/she is ready for that level of abstraction indeed. In the chapter on Riemann surfaces, several key results on compact Riemann surfaces are stated and proved in the first nontrivial case, i.e. that of elliptic curves.


About the authors

Serge Lvovski is associate professor at the Faculty of Mathematics of Higher School of Economics, Moscow, and research fellow in the Laboratory of Algebraic Geometry and its Applications.



Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-3-030-59365-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,19 €
price for Spain (gross)
  • ISBN 978-3-030-59364-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Principles of Complex Analysis
Authors
Series Title
Moscow Lectures
Series Volume
6
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-59365-0
DOI
10.1007/978-3-030-59365-0
Hardcover ISBN
978-3-030-59364-3
Series ISSN
2522-0314
Edition Number
1
Number of Pages
XIII, 257
Topics