This book is based on a first-year graduate course I gave three times at the University of Chicago. As it was addressed to graduate students who intended to spe

Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several

Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide vari

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and La

This is a text for students who have had a three-course calculus sequence and who are ready to explore the logical structure of analysis as the backbone of calc