COMPLEX VARIABLES: THEORY AND APPLICATIONS
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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Almost all of the pages in this book are omitted and are not shown in this book preview. It seems that there is nothing inside this book except front and back covers. Among 11 Chapters only 2.1 chapters shown in this book. This preview does not help a penny to those who have portions from this book.
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Analytic Functions 3978
Elementary Functions 7997
Complex Integration 98152
Sequences Series and Products 153187
Series Expansions 188240
Singularities and Residues 241294
Sums and Deﬁnite Integrals 295334