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Complex analysis : a modern first course in function theory / Jerry R. Muir, Jr
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Hoboken, NJ : Wiley, 2015ISBN:- 9781118705278
- 9781118956397
- QA360
- QA360 .M85 2014
Contents:
Summary: A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subjectWritten with a reader-friendly approach,Complex Analysis: A Modern First Course in Function Theoryfeatures 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 Theoryfeatures:Plentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projectsNumerous figures to illustrate geometric concepts and constructions used in proofsRemarks 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 notesAppendices on the basics of sets and functions and a handful of useful results from advanced calculusAppropriate for students majoring in pure or applied mathematics as well as physics or engineering,Complex Analysis: A Modern First Course in Function Theoryis 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. 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.PPN: PPN: 1657477894Package identifier: Produktsigel: ZDB-30-PAD | ZDB-30-PQE
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