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Introduction to complex analysis Part II. Functions of several variables
B V Shabat
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Translations of Mathematical Monographs
1992; 371 pp; softcover
Volume: 110
ISBN-10: 0-8218-1975-5
ISBN-13: 978-0-8218-1975-3
List Price: US$123
Member Price: US$98.40
Order Code: MMONO/110.S
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Since the 1960s, there has been a flowering in higher-dimensional complex analysis. Both classical and new results in this area have found numerous applications in analysis, differential and algebraic geometry, and, in particular, contemporary mathematical physics. In many areas of modern mathematics, the mastery of the foundations of higher-dimensional complex analysis has become necessary for any specialist. Intended as a first study of higher-dimensional complex analysis, this book covers the theory of holomorphic functions of several complex variables, holomorphic mappings, and submanifolds of complex Euclidean space.

Readership

Graduate students and researchers interested in complex analysis.

Table of Contents

  • Holomorphic functions of several variables
  • Basic geometric concepts
  • Analytic continuation
  • Meromorphic functions and residues
  • Some problems of geometric function theory
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