EAN: 9789811592218

COMPLEX ANALYSIS - ANDREI BOURCHTEIN LUDMILA BO...

This book discusses all the major topics of complex analysis  beginning with the properties of
complex numbers and ending with the proofs of the fundamental principles of conformal mappings.
Topics covered in the book include the study of holomorphic and analytic functions 
classification of singular points and the Laurent series expansion  theory of residues and
their application to evaluation of integrals  systematic study of elementary functions 
analysis of conformal mappings and their applications-making this book self-sufficient and the
reader independent of any other texts on complex variables. The book is aimed at the advanced
undergraduate students of mathematics and engineering  as well as those interested in studying
complex analysis with a good working knowledge of advanced calculus. The mathematical level of
the exposition corresponds to advanced undergraduate courses of mathematical analysis and first
graduate introduction to the discipline. The book contains a large number of problems and
exercises  making it suitable for both classroom use and self-study. Many standard exercises
are included in each section to develop basic skills and test the understanding of concepts.
Other problems are more theoretically oriented and illustrate intricate points of the theory.
Many additional problems are proposed as homework tasks whose level ranges from straightforward
but not overly simple  exercises to problems of considerable difficulty but of comparable
interest.

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