{"product_id":"complex-analysis-a-modern-first-course-in-function-theory-9781118705223","title":"Complex Analysis: A Modern First Course in Function Theory","description":"\u003cp\u003e • Author(s): Jerry R. Muir\u003cbr\u003e • Publisher: Wiley\u003cbr\u003e • Publisher Imprint: Wiley\u003cbr\u003e • BISAC: Functional Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eA thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eWritten with a reader-friendly approach, \u003ci\u003eComplex Analysis: A Modern First Course in Function Theory \u003c\/i\u003efeatures 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.\u003c\/p\u003e \u003cp\u003eThoroughly classroom tested at multiple universities, \u003ci\u003eComplex Analysis: A Modern First Course in Function Theory \u003c\/i\u003efeatures:\u003c\/p\u003e  *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, \u003ci\u003eComplex Analysis: A Modern First Course in Function Theory \u003c\/i\u003eis 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.\u003cbr\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Hardcover","offer_id":45201846567063,"sku":"9781118705223","price":12168.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781118705223.webp?v=1767148786","url":"https:\/\/atlanticbooks.com\/products\/complex-analysis-a-modern-first-course-in-function-theory-9781118705223","provider":"Atlantic Books","version":"1.0","type":"link"}