Complex Analysis - A Modern First Course in Function Theory

Name: Complex Analysis - A Modern First Course in Function Theory
Brand: John Wiley & Sons Inc
SKU: 9781118705223
Price: 642.67 RON
Availability: InStock

Autor: Jerry R. Muir

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Legare: Copertă tare

Editura: John Wiley & Sons Inc

Disponibilitate: În depozitul extern

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A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counte...

Informații despre carte

Autor

Jerry R. Muir

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2015

Pagini

280

EAN

9781118705223

ISBN

9781118705223

Enbook ID

06785190

Editura

John Wiley & Sons Inc

Greutate

624

Dimensiuni

164 x 243 x 25

Descriere completă

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.

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