Author : John Erik Fornæss
Release :
Genre : Mathematics
Kind : eBook
Book Rating : 499/5 ( reviews)
Book Synopsis Lectures on Counterexamples in Several Complex Variables by : John Erik Fornæss
Download or read book Lectures on Counterexamples in Several Complex Variables written by John Erik Fornæss. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Counterexamples are remarkably effective for understanding the meaning, and the limitations, of mathematical results. Fornaess and Stensones look at some of the major ideas of several complex variables by considering counterexamples to what might seem like reasonable variations or generalizations. The first part of the book reviews some of the basics of the theory, in a self-contained introduction to several complex variables. The counterexamples cover a variety of important topics: the Levi problem, plurisubharmonic functions, Monge-Ampere equations, CR geometry, function theory, and the $\bar\partial$ equation. The book would be an excellent supplement to a graduate course on several complex variables.