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 Particle Image Velocimetry by Paul M. Gauthier
Cover of the book The Affirmations of Reason by Paul M. Gauthier
Cover of the book Shadow Education and Social Inequalities in Japan by Paul M. Gauthier
Cover of the book Advances in Neuroergonomics and Cognitive Engineering by Paul M. Gauthier
Cover of the book Murine Models, Energy Balance, and Cancer by Paul M. Gauthier
Cover of the book TIM PEAKE and BRITAIN'S ROAD TO SPACE by Paul M. Gauthier
Cover of the book Curricula for Teaching Students with Autism Spectrum Disorder by Paul M. Gauthier
Cover of the book Big Data for the Greater Good by Paul M. Gauthier
Cover of the book Conductors, Semiconductors, Superconductors by Paul M. Gauthier
Cover of the book Reviews of Physiology, Biochemistry and Pharmacology, Vol. 165 by Paul M. Gauthier
Cover of the book Family Caregiving by Paul M. Gauthier
Cover of the book HCI in Business by Paul M. Gauthier
Cover of the book MRI of Degenerative Disease of the Spine by Paul M. Gauthier
Cover of the book Ethics in Medicine by Paul M. Gauthier
Cover of the book Decision Support Systems IV - Information and Knowledge Management in Decision Processes 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