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Lectures on Several Complex Variables

Authors: Gauthier, Paul M.

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  • Provides a concise, accessible guide to several complex variables suitable for both advanced undergraduate and beginning graduate students
  • Covers contemporary topics, such as modular forms and the Riemann manifold of a function, that are not covered in other books on several complex variables
  • Many details are intentionally left out and many theorems are stated as problems, providing instructive exercises for students
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eBook $69.99
price for Mexico (gross)
  • ISBN 978-3-319-11511-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for Mexico
  • ISBN 978-3-319-11510-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 28 de octubre de 2016
  • ISBN 978-3-319-37604-2
  • Free shipping for individuals worldwide
About this book

​​​This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions.  Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity.   Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables.  Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises.

 

Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level.  Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Reviews

“This book grew out of a course given at the Université de Montréal in 2004. … The book can be read comfortably by a reader with no prior exposure to several complex variables. … This is also a book with which a beginning graduate student, or even a research mathematician seeking an introduction to several complex variables, can spend a leisurely summer … and pick up more than just the rudiments of several complex variables.” (Gautam Bharali, Mathematical Reviews, October, 2015)


Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $69.99
price for Mexico (gross)
  • ISBN 978-3-319-11511-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for Mexico
  • ISBN 978-3-319-11510-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 28 de octubre de 2016
  • ISBN 978-3-319-37604-2
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Several Complex Variables
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-11511-5
DOI
10.1007/978-3-319-11511-5
Hardcover ISBN
978-3-319-11510-8
Softcover ISBN
978-3-319-37604-2
Edition Number
1
Number of Pages
VIII, 110
Number of Illustrations
2 b/w illustrations
Topics