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9780125535601

Theory and Applications of Numerical Analysis

by ;
  • ISBN13:

    9780125535601

  • ISBN10:

    0125535600

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 1996-09-25
  • Publisher: Elsevier Science
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Supplemental Materials

What is included with this book?

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
Introductionp. 1
Basic analysisp. 11
Taylor's polynomial and seriesp. 39
The interpolating polynomialp. 52
'Best' approximationp. 86
Splines and other approximationsp. 131
Numerical integration and differentiationp. 160
Solution of algebraic equations of one variablep. 196
Linear equationsp. 221
Matrix norms and applicationsp. 265
Matrix eigenvalues and eigenvectorsp. 299
Systems of non-linear equationsp. 323
Ordinary differential equationsp. 335
Boundary value and other methods for ordinary differential equationsp. 396
Computer arithmeticp. 418
Solutions to selected problemsp. 424
References and further readingp. 440
Indexp. 443
Table of Contents provided by Blackwell. All Rights Reserved.

Supplemental Materials

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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