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Edition: 3RD 04

Copyright: 2004

Publisher: John Wiley & Sons, Inc.

Published: 2004

International: No

Copyright: 2004

Publisher: John Wiley & Sons, Inc.

Published: 2004

International: No

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- Flexible: The text offers comprehensive coverage of virtually all major topics in numerical analysis. Its flexible Table of Contents allows instructors to choose exactly what material to cover in a one-semester course.
- Varied end-of-chapter exercises: Some exercises provide additional illustrations of the theoretical results given in the section, and a number of these exercises can be done with either a hand calculator or with a simple computer program.
- MATLAB Programs: For a number of exercises, students are asked to modify the programs in order to solve specific problems. This approach enables students to learn programming more efficiently, and allows them to focus more on technique learning and problem solving.
- Appropriate level: The mathematical treatment of the material is kept at a manageable level--not too deep, not too elementary. It can be used with students who have had a one-year course in single-variable calculus, although some background in linear algebra and differential equations is helpful for chapters 6-9.

Taylor Polynomials.

Error and Computer Arithmetic.

Rootfinding.

Interpolation and Approximation.

Numerical Integration and Differentiation.

Solution of Systems of Linear Equations.

Numerical Linear Algebra: Advanced Topics.

Numerical Solutions of Ordinary Differential Equations.

Finite Difference Method for Partial Differential Equations.

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.

Bibliography.

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Summary

- Flexible: The text offers comprehensive coverage of virtually all major topics in numerical analysis. Its flexible Table of Contents allows instructors to choose exactly what material to cover in a one-semester course.
- Varied end-of-chapter exercises: Some exercises provide additional illustrations of the theoretical results given in the section, and a number of these exercises can be done with either a hand calculator or with a simple computer program.
- MATLAB Programs: For a number of exercises, students are asked to modify the programs in order to solve specific problems. This approach enables students to learn programming more efficiently, and allows them to focus more on technique learning and problem solving.
- Appropriate level: The mathematical treatment of the material is kept at a manageable level--not too deep, not too elementary. It can be used with students who have had a one-year course in single-variable calculus, although some background in linear algebra and differential equations is helpful for chapters 6-9.

Table of Contents

Taylor Polynomials.

Error and Computer Arithmetic.

Rootfinding.

Interpolation and Approximation.

Numerical Integration and Differentiation.

Solution of Systems of Linear Equations.

Numerical Linear Algebra: Advanced Topics.

Numerical Solutions of Ordinary Differential Equations.

Finite Difference Method for Partial Differential Equations.

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.

Bibliography.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 2004

International: No

Published: 2004

International: No

- Flexible: The text offers comprehensive coverage of virtually all major topics in numerical analysis. Its flexible Table of Contents allows instructors to choose exactly what material to cover in a one-semester course.
- Varied end-of-chapter exercises: Some exercises provide additional illustrations of the theoretical results given in the section, and a number of these exercises can be done with either a hand calculator or with a simple computer program.
- MATLAB Programs: For a number of exercises, students are asked to modify the programs in order to solve specific problems. This approach enables students to learn programming more efficiently, and allows them to focus more on technique learning and problem solving.
- Appropriate level: The mathematical treatment of the material is kept at a manageable level--not too deep, not too elementary. It can be used with students who have had a one-year course in single-variable calculus, although some background in linear algebra and differential equations is helpful for chapters 6-9.

Error and Computer Arithmetic.

Rootfinding.

Interpolation and Approximation.

Numerical Integration and Differentiation.

Solution of Systems of Linear Equations.

Numerical Linear Algebra: Advanced Topics.

Numerical Solutions of Ordinary Differential Equations.

Finite Difference Method for Partial Differential Equations.

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.

Bibliography.