Lectures on Several Complex Variables

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Lectures on Several Complex Variables by Paul M. Gauthier, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Paul M. Gauthier ISBN: 9783319115115
Publisher: Springer International Publishing Publication: November 7, 2014
Imprint: Springer Language: English
Author: Paul M. Gauthier
ISBN: 9783319115115
Publisher: Springer International Publishing
Publication: November 7, 2014
Imprint: Springer
Language: English

​​​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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

​​​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.

More books from Springer International Publishing

Cover of the book Nuclear Energy for Hydrogen Generation through Intermediate Heat Exchangers by Paul M. Gauthier
Cover of the book Emerging Economy MNEs by Paul M. Gauthier
Cover of the book Soft Solids by Paul M. Gauthier
Cover of the book Advanced Information Systems Engineering Workshops by Paul M. Gauthier
Cover of the book Republican Orators from Eisenhower to Trump by Paul M. Gauthier
Cover of the book Technical Analysis for Algorithmic Pattern Recognition by Paul M. Gauthier
Cover of the book Postharvest Quality Assurance of Fruits by Paul M. Gauthier
Cover of the book The Care of the Self in Early Christian Texts by Paul M. Gauthier
Cover of the book Multi-Parametric Live Cell Microscopy of 3D Tissue Models by Paul M. Gauthier
Cover of the book Excel 2016 for Social Science Statistics by Paul M. Gauthier
Cover of the book Basics of Thermal Field Theory by Paul M. Gauthier
Cover of the book System-level Techniques for Analog Performance Enhancement by Paul M. Gauthier
Cover of the book Trauma and Combat Critical Care in Clinical Practice by Paul M. Gauthier
Cover of the book Bionanocomposites for Packaging Applications by Paul M. Gauthier
Cover of the book Self-Organization of Hot Plasmas by Paul M. Gauthier
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy