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Scientific Publishing Explorations In Numerical Analysis

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Description

Review This appealing introduction to numerical analysis is unusual in the sense that it is truly introductory. It begins with a lengthy chapter that tells students what numerical analysis is about, what its major components are, and why understanding error is so important … The authors pace the exposition very carefully … The variety of exercises in the book is also a strength. There are exercises that test understanding of basic concepts, explorations that ask to students to work hands-on with ideas just presented, and end-of-chapter exercises. This book is definitely worth considering for anyone looking for a good introductory text. --MAA Reviews Product Description This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the MATLAB programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
18 November 2018
Listed Since
07 March 2017

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