Elementary Numerical Analysis / Edition 33

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Offering a clear, precise, and accessible presentation, completewith MATLAB programs, this new Third Edition of ElementaryNumerical Analysis gives students the support they need to masterbasic numerical analysis and scientific computing. Now updated andrevised, this significant revision features reorganized andrewritten content, as well as some new additional examples andproblems.
The text introduces core areas of numerical analysis and scientificcomputing along with basic themes of numerical analysis such as theapproximation of problems by simpler methods, the construction ofalgorithms, iteration methods, error analysis, stability,asymptotic error formulas, and the effects of machine arithmetic.

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Editorial Reviews

An introduction to numerical analysis for undergraduates in the sciences, mathematics, and engineering. The main prerequisite is a one-year course in the calculus of functions of one variable, but some knowledge of computer programming is also needed. This revised edition (first was 1985) adds examples and new problems, as well as new sections on the general theory of fixed point methods for rootfinding problems and on iteration methods for solving systems of nonlinear equations. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780471433378
  • Publisher: Wiley
  • Publication date: 10/31/2003
  • Edition description: REV
  • Edition number: 33
  • Pages: 576
  • Sales rank: 609,973
  • Product dimensions: 7.50 (w) x 9.30 (h) x 1.10 (d)

Table of Contents

Chapter 1. Taylor Polynomials.

Chapter 2. Error and Computer Arithmetic.

Chapter 3. Rootfinding.

Chapter 4. Interpolation and Approximation.

Chapter 5. Numerical Integration and Differentiation.

Chapter 6. Solution of Systems of Linear Equations.

Chapter 7. Numerical Linear Algebra: Advanced Topics.

Chapter 8. Ordinary Differential Equations.

Chapter 9. Finite Difference Method for PDEs.

Appendix A: Mean Value Theorems.

Appendix B: Mathematical Formulas.

Appendix C: Numerical Analysis Software Packages.

Appendix D: Matlab: An Introduction.

Appendix E: The Binary Number System.

Answers to Selected Problems.



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