{"product_id":"fundamentals-of-numerical-mathematics-for-alvaro-meseguer-9781119425670","title":"Fundamentals of Numerical Mathematics for Physicists and Engineers","description":"\u003cp\u003e\u003cb\u003eIntroduces the fundamentals of numerical mathematics and illustrates its applications to a wide variety of disciplines in physics and engineering\u003c\/b\u003e \u003c\/p\u003e \u003cp\u003eApplying numerical mathematics to solve scientific problems, this book helps readers understand the mathematical and algorithmic elements that lie beneath numerical and computational methodologies in order to determine the suitability of certain techniques for solving a given problem. It also contains examples related to problems arising in classical mechanics, thermodynamics, electricity, and quantum physics.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eFundamentals of Numerical Mathematics for Physicists and\u003c\/i\u003e \u003ci\u003eEngineers \u003c\/i\u003eis presented in two parts. Part I addresses the root finding of univariate transcendental equations, polynomial interpolation, numerical differentiation, and numerical integration. Part II examines slightly more advanced topics such as introductory numerical linear algebra, parameter dependent systems of nonlinear equations, numerical Fourier analysis, and ordinary differential equations (initial value problems and univariate boundary value problems). Chapters cover: Newton's method, Lebesgue constants, conditioning, barycentric interpolatory formula, Clenshaw-Curtis quadrature, GMRES matrix-free Krylov linear solvers, homotopy (numerical continuation), differentiation matrices for boundary value problems, Runge-Kutta and linear multistep formulas for initial value problems. Each section concludes with Matlab hands-on computer practicals and problem and exercise sets. This book: \u003c\/p\u003e \u003cul\u003e \u003cli\u003eProvides a modern perspective of numerical mathematics by introducing top-notch techniques currently used by numerical analysts \u003c\/li\u003e \u003cli\u003eContains two parts, each of which has been designed as a one-semester course\u003c\/li\u003e \u003cli\u003eIncludes computational practicals in Matlab (with solutions) at the end of each section for the instructor to monitor the student's progress through potential exams or short projects\u003c\/li\u003e \u003cli\u003eContains problem and exercise sets (also with solutions) at the end of each section \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eFundamentals of Numerical Mathematics for Physicists and\u003c\/i\u003e \u003ci\u003eEngineers \u003c\/i\u003eis an excellent book for advanced undergraduate or graduate students in physics, mathematics, or engineering. It will also benefit students in other scientific fields in which numerical methods may be required such as chemistry or biology.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Alvaro Meseguer\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1119425670\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781119425670\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/16\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 400\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.63lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 5.90w x 0.90d","brand":"Alvaro Meseguer","offers":[{"title":"Hardcover","offer_id":48013887045887,"sku":"9781119425670","price":136.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_e731954b-b7cb-4874-81ff-c99ab585642c.jpg?v=1767745382","url":"https:\/\/www.whiterainbookhouse.com\/products\/fundamentals-of-numerical-mathematics-for-alvaro-meseguer-9781119425670","provider":"WR Book House","version":"1.0","type":"link"}