Lectures on Several Complex Variables
Description
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 / Votes
"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)
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Content
Preface.- Introduction.- Basics.- Cauchy Integral Formula.- Sequences of Holomorphic Functions.- Series.- Zero Sets of Holomorphic Functions.- Holomorphic Mappings.- Plurisubharmonic Functions.- The Dirichlet Problem.- Uniform Approximation.- Complex Manifolds.- Examples of Manifolds.- Holomorphic Continuation.- The Tangent Space.- Meromorphic Functions and Subvarieties.
