Theory and Applications of Numerical Analysis

by Phillips; Taylor

• ISBN13: 9780125535601
• ISBN10: 0125535600
• Edition: 2nd
• Format: Paperback
• Copyright: 1996-09-25
• Publisher: Elsevier Science

Summary

This text is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. * a unique blend of theory and applications * two brand new chapters on eigenvalues and splines * inclusion of formal algorithms * numerous fully worked examples * a large number of problems, many with solutions

Author Biography

Peter J. Taylor is a retired Senior Lecturer from the University of Strathclyde, UK.

Table of Contents

Preface
From the preface to the first edition
Introduction	p. 1
Basic analysis	p. 11
Taylor's polynomial and series	p. 39
The interpolating polynomial	p. 52
'Best' approximation	p. 86
Splines and other approximations	p. 131
Numerical integration and differentiation	p. 160
Solution of algebraic equations of one variable	p. 196
Linear equations	p. 221
Matrix norms and applications	p. 265
Matrix eigenvalues and eigenvectors	p. 299
Systems of non-linear equations	p. 323
Ordinary differential equations	p. 335
Boundary value and other methods for ordinary differential equations	p. 396
Computer arithmetic	p. 418
Solutions to selected problems	p. 424
References and further reading	p. 440
Index	p. 443
Table of Contents provided by Blackwell. All Rights Reserved.