# COMPLEX VARIABLES: THEORY AND APPLICATIONS

PHI Learning Pvt. Ltd., Jan 1, 2005 - Mathematics - 504 pages
The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

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### Contents

 Analytic Functions 3978 39 Elementary Functions 7997 79 Complex Integration 98152 98 Sequences Series and Products 153187 153 Series Expansions 188240 188 Singularities and Residues 241294 241 Sums and Deﬁnite Integrals 295334 295
 Conformal Mappings 335375 335 Laplace Transform 376 Special Topics 406 Objectivetype Questions 455 Answers to Problems 467 Bibliography 487 Copyright

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