An Introduction to Numerical Methods and Analysis

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ISBN: 9781118367599 Category:

<p><b>Praise for the <i>First Edition</i></b></p> <p>”. . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises.”—<i>Zentralblatt MATH</i></p> <p>”. . . carefully structured with many detailed worked examples.”—<i>The Mathematical Gazette</i></p> <p><br /> The <i>Second Edition</i> of the highly regarded <i>An Introduction to Numerical Methods and Analysis</i> provides a fully revised guide to numerical approximation. The book continues to be accessible and expertly guides readers through the many available techniques of numerical methods and analysis.</p> <p><i>An Introduction to Numerical Methods and Analysis, Second Edition</i> reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and the <i>Second Edition</i> also features:</p> <ul> <li>Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material</li> <li>Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises</li> <li>Widespread exposure and utilization of MATLAB</li> <li>An appendix that contains proofs of various theorems and other material</li> </ul> <p>The book is an ideal textbook for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.</p>