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- Author: Paul M. Gauthier
- Pages: 110
- Language: English
- ISBN/ASIN: 3319115103
- ISBN13: 9783319115108
- Upload date: 19-05-2017, 16:20
- Category: Mathematics

???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 Universite de Montreal, 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.

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Several Complex Variables (Graduate Texts in Mathematics) Functions of a Complex Variable: Theory and Technique (Classics in Applied Mathematics) Function Theory of One Complex Variable, 3rd edition Convex and Starlike Mappings in Several Complex Variables (Mathematics and Its Applications) Complex Variables with Applications (3rd Edition) Complex Variables Problem Solver (Problem Solvers Solution Guides) Complex Variables Demystified Complex Functions: An Algebraic and Geometric Viewpoint Complex Analysis: A Modern First Course in Function Theory Complex Analysis and Special Topics in Harmonic Analysis Complex Analysis (EMS Textbooks in Mathematics) Applied Complex Variables for Scientists and Engineers Analysis III: Analytic and Differential Functions, Manifolds and Riemann Surfaces (Universitext) An Introduction to Riemann Surfaces (Cornerstones) Abelian Varieties with Complex Multiplication and Modular Functions A Guide to Complex Variables (Dolciani Mathematical Expositions) A Course in Real Analysis by Junghenn A Concise Introduction to Analysis