Theory and Applications of Numerical Analysis

G. M. Phillips, Peter J. Taylor9780080519128, 9780125535601, 0125535600

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

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Table of contents :
Cover.pdf……Page 1
Preface.pdf……Page 2
From the preface to the first edition.pdf……Page 4
Table of Contents.pdf……Page 6
Chapter01.pdf……Page 7
Chapter02.pdf……Page 17
Chapter03.pdf……Page 45
Chapter04.pdf……Page 58
Chapter05.pdf……Page 92
Chapter06.pdf……Page 137
Chapter07.pdf……Page 166
Chapter08.pdf……Page 202
Chapter09.pdf……Page 227
Chapter10.pdf……Page 271
Chapter11.pdf……Page 305
Chapter12.pdf……Page 329
Chapter13.pdf……Page 341
Chapter14.pdf……Page 402
Appendix – Computer arithmetic.pdf……Page 424
Solutions to selected problems.pdf……Page 430
References and Further Reading.pdf……Page 446
Index.pdf……Page 448