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Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics

Edward Saff

  • Bindwijze: Paperback
  • Taal: Engels
  • Categorie: Wetenschap & Natuur
  • Uitgever: Pearson Education Limited
  • ISBN: 9781292023755
  • Review:
Pearson New International Edition
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Taal:Engels
Bindwijze:Paperback
Druk:3rd edition
Verschijningsdatum:juli 2013
Afmetingen:Afmeting: 1 x 1 x 1 cm
Aantal pagina's:520 pagina's
Illustraties:Nee
Betrokkenen
Auteur(s):Edward Saff | Arthur Snider
Auteur(s):Edward Saff | Arthur Snider

Samenvatting

This book provides a comprehensive introduction to complex variable theory and its applications to current engineering problems and is designed to make the fundamentals of the subject more easily accessible to readers who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout, so that the mathematical methodology appears less sterile to engineers. It makes frequent use of analogies from elementary calculus or algebra to introduce complex concepts, includes fully worked examples, and provides a dual heuristic/analytic discussion of all topics. A downloadable MATLAB toolbox--a state-of-the-art computer aid--is available. KEY TOPICS: Complex Numbers. Analytic Functions. Elementary Functions. Complex Integration. Series Representations for Analytic Functions. Residue Theory. Conformal Mapping. The Transforms of Applied Mathematics. MATLAB ToolBox for Visualization of Conformal Maps. Numerical Construction of Conformal Maps. Table of Conformal Mappings. Features coverage of Julia Sets; modern exposition of the use of complex numbers in linear analysis (e.g., AC circuits, kinematics, signal processing); applications of complex algebra in celestial mechanics and gear kinematics; and an introduction to Cauchy integrals and the Sokhotskyi-Plemeij formulas. MARKET: For mathematicians and engineers interested in Complex Analysis and Mathematical Physics.