A First Course in Complex Analysis with Applications

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Jones & Bartlett Learning, 2006 - Computers - 512 pages
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A First Course In Complex Analysis With Applications Limits Theoretical Coverage To Only What Is Necessary, And Conveys It In A Student-Friendly Style. Its Aim Is To Introduce The Basic Principles And Applications Of Complex Analysis To Undergraduates Who Have No Prior Knowledge Of This Subject. Contents Of The Book Include The Complex Number System, Complex Functions And Sequences, As Well As Real Integrals; In Addition To Other Concepts Of Calculus, And The Functions Of A Complex Variable. This Text Is Written For Junior-Level Undergraduate Students Who Are Majoring In Math, Physics, Computer Science, And Electrical Engineering.
 

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Contents

Chapter 7
34
Complex Functions and Mappings
49
Analytic Functions
141
Elementary Functions
175
Integration in the Complex Plane
235
Formulas
277
Chapter 6
301
Proof of Theorem 2 1 APP2
453
Table of Conformal Mappings APP9
459
Answers for Selected OddNumbered Problems ANS1
493
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About the author (2006)

Dennis G. Zill is professor of mathematics at Loyola Marymount University. His interests are in applied mathematics, special functions, and integral transforms. Dr. Zill received his Ph.D. in applied mathematics and his M.S. from Iowa State University in 1967 and 1964, respectively. He received his B.A. from St. Mary's in Winona, Minnesota, in 1962. Dr. Zill also is former chair of the Mathematics Department at Loyola Marymount University. He is the author or co-author of 13 mathematics texts.

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