ELEM THEORY OF ANALYTIC FUNCTI

Book Details

• Publisher: Dover

• Author: Henri Cartan

• Language: English

• Edition: Text is Free of Markings

• ISBN: 9780486685434

• Pages: 228

• Cover: Paperback

• Dimensions: 8.4 x 5.4 x 0.6 inches

About The Book

Henri Cartan, a noted mathematician, offers a basic yet comprehensive treatment of the theory of analytic functions of a complex variable in this seminal work. In addition to the core topic of analytic functions, this book touches on more advanced subjects, including analytic functions of several real or complex variables, as well as the existence theorem for solutions of differential systems where data is analytic. Cartan also provides a systematic, elementary exposition of the theory of abstract complex manifolds of one complex dimension, making this book both foundational and accessible.

The text covers important topics such as power series in one variable, holomorphic functions, and Cauchy’s integral, among others. Though it is rooted in fundamental concepts, the book also includes exercises to reinforce the material and deepen the reader's understanding. This edition, originally published in 1973, remains a crucial resource for students of complex analysis, offering clarity and insight into this essential area of mathematics.

Perfect for students and enthusiasts of mathematical analysis, this paperback edition is a must-have for those seeking to grasp the core principles of analytic functions and complex manifolds.