{"product_id":"complex-analysis-a-modern-first-course-in-function-theory-hardcover","title":"Complex Analysis: A Modern First Course in Function Theory - Hardcover","description":"\u003cp\u003eby \u003cb\u003eJerry R. Muir\u003c\/b\u003e (Author)\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 \u003cul\u003e \u003cli\u003ePlentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects\u003c\/li\u003e \u003cli\u003eNumerous figures to illustrate geometric concepts and constructions used in proofs\u003c\/li\u003e \u003cli\u003eRemarks 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\u003c\/li\u003e \u003cli\u003eAppendices on the basics of sets and functions and a handful of useful results from advanced calculus\u003c\/li\u003e \u003c\/ul\u003e 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\u003ch3\u003eBack Jacket\u003c\/h3\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\u003e 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.\u003c\/p\u003e \u003cp\u003eThoroughly classroom tested at multiple universities, \u003ci\u003eComplex Analysis: A Modern First Course in Function Theory\u003c\/i\u003e features: \u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003ePlentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects\u003c\/li\u003e \u003cli\u003eNumerous figures to illustrate geometric concepts and constructions used in proofs\u003c\/li\u003e \u003cli\u003eRemarks 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\u003c\/li\u003e \u003cli\u003eAppendices on the basics of sets and functions and a handful of useful results from advanced calculus\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eAppropriate 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.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eJerry R. Muir, Jr., PhD, \u003c\/b\u003e 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.\u003c\/p\u003e \u003cbr\u003e \u003cp\u003e \u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eJerry R. Muir, Jr., PhD, \u003c\/b\u003e 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.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 280\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.8 x 9.3 x 6.2 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 04, 2015\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42721655750719,"sku":"9781118705223","price":228.85,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/8dd3686a6903982be29132d6d2125cc4.webp?v=1765093124","url":"https:\/\/dhlswag.com\/products\/complex-analysis-a-modern-first-course-in-function-theory-hardcover","provider":"BBB","version":"1.0","type":"link"}