Description
Book SynopsisPraise for the First Edition
. . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises.Zentralblatt MATH
. . . carefully structured with many detailed worked examples.The Mathematical Gazette
The Second Edition of the highly regarded An Introduction to Numerical Methods and Analysis 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.
An Introduction to Numerical Methods and Analysis, Second Edition 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 fiel
Trade Review
“This is an excellent textbook for a numerical analysis course although it will be difficult to cover all the material in just one course. Because the text is so complete, it could as well be used for self-study.” (American Mathematical Society, 1 August 2014)
Table of ContentsPreface xiii
1 Introductory Concepts and Calculus Review 1
2 A Survey of Simple Methods and Tools 43
3 Root-Finding 89
4 Interpolation and Approximation 171
5 Numerical Integration 269
6 Numerical Methods for Ordinary Differential Equations 329
7 Numerical Methods for the Solution of Systems of Equations 417
8 Approximate Solution of the Algebraic Eigenvalue Problem 479
9 A Survey of Numerical Methods for Partial Differential Equations 521
10 An Introduction to Spectral Methods 555
Appendix A: Proofs of Selected Theorems, and Other Additional Material 581
Index 587
