Complex Analysis - A Modern First Course in Function Theory (Hardcover)

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 Appropriate for students majoring in pure or applied mathematics as well as physics or engineering, Complex Analysis: A Modern First Course in Function Theory is an ideal textbook for a one-semester course in complex analysis for those with a strong foundation in multivariable calculus. The logically complete book also serves as a key reference for mathematicians, physicists, and engineers and is an excellent source for anyone interested in independently learning or reviewing the beautiful subject of complex analysis.

General

Imprint:	John Wiley & Sons
Country of origin:	United States
Release date:	June 2015
First published:	2015
Authors:	Jr. Muir
Dimensions:	252 x 162 x 21mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	280
ISBN-13:	978-1-118-70522-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
LSN:	1-118-70522-X
Barcode:	9781118705223

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