Numerical Analysis
An Introduction
1st Edition
Published on 18. March 2019
XVIII, 175 pages
978-3-11-057332-9 (ISBN)
Description
Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.
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03/2019
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De Gruyter
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Persons
Timo Heister
,
Leo G. Rebholz
, and
Fei Xue
, Clemson University, USA.
Content
- Intro
- Preface
- Software
- Acknowledgment
- Support
- Contents
- 1. Computer representation of numbers and roundoff error
- 2. Solving linear systems of equations
- 3. Least squares problems
- 4. Finite difference methods
- 5. Solving nonlinear equations
- 6. Eigenvalues and eigenvectors
- 7. Interpolation
- 8. Numerical integration
- 9. Initial value problems
- 10. Partial differential equations
- Index
