Mathematics
Product details
- ISBN 9781118705223
- Weight: 590g
- Dimensions: 160 x 241mm
- Publication Date: 02 Jun 2015
- Publisher: John Wiley & Sons Inc
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject
Written with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic functions and an epilogue on the Riemann mapping theorem.
Thoroughly classroom tested at multiple universities, Complex Analysis: A Modern First Course in Function Theory features:
- Plentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects
- Numerous figures to illustrate geometric concepts and constructions used in proofs
- Remarks at the conclusion of each section that place the main concepts in context, compare and contrast results with the calculus of real functions, and provide historical notes
- Appendices on the basics of sets and functions and a handful of useful results from advanced calculus
Jerry R. Muir, Jr., PhD, is Professor of Mathematics at The University of Scranton. He has authored over one dozen research articles in complex-flavored analysis, primarily on geometric function theory in several complex variables.
