A First Course in Complex Analysis with Applications

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Jones & Bartlett Publishers, 25 ago. 2011 - 405 páginas
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The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.
 

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Chapter 1 Complex Numbers and the Complex Plane
1
Chapter 2 Complex Functions and Mappings
45
Chapter 3 Analytic Functions
127
Chapter 4 Elementary Functions
157
Chapter 5 Integration in the Complex Plane
211
Chapter 6 Series and Residues
271
Chapter 7 Conformal Mappings
351
Appendixes
407
Answers to Selected OddNumbered Problems
423
Indexes
445
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