Overview

This textbook develops the fundamental skills of numerical analysis: designing numerical methods, implementing them in computer code, and analyzing their accuracy and efficiency. A number of mathematical problems—interpolation, integration, linear systems, zero finding, and differential equations—are considered, and some of the most important methods for their solution are demonstrated and analyzed. Notable features of this book include the development of Chebyshev methods alongside more classical ones; a dual emphasis on theory and experimentation; the use of linear algebra to solve problems from analysis, which enables students to gain a greater appreciation for both subjects; and many examples and exercises. Numerical Analysis: Theory and Experiments is designed to be the primary text for a junior- or senior-level undergraduate course in numerical analysis for mathematics majors. Scientists and engineers interested in numerical methods, particularly those seeking an accessible introduction to Chebyshev methods, will also be interested in this book.

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9781611975697

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Brian Sutton is an associate professor of mathematics at Randolph-Macon College, where he has taught numerical analysis regularly since 2007. His research in numerical linear algebra, specifically the computation of the CS decomposition, was awarded the fourteenth Leslie Fox Prize, and his implementation of his numerical method is included in LAPACK, the standard package of numerical linear algebra routines. Professor Sutton has also served as an associate editor for SIAM Journal on Matrix Analysis and Applications.

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