Complex Function

The aim of this book is to give an understandable introduction to the the­ ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. Therefore, the abstract concepts involved with sheaves, coherence, and higher-dimensional cohomology are avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional co­ cycles are used.

This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples.

This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples.

by Jeremy Gray (Author)
Introduces key ideas in real and complex analysis in the manner they were discovered
Motivates and explains many related developments in neighbouring fields, including number theory, elliptic function theory, and potential theory
Displays many examples illustrating the merits of rigorous analysis

This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner.