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Numerical Analysis
An Introduction
-
Timo Heister
Language:
English
Published/Copyright:
2019
About this book
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.
- A compact and concise introduction to numerical analysis
- Covers a wealth of material, from computer arithmetic to the solution of ODE's and PDE's
- Ideal for students and lecturers in mathematics, physics, and engineering
Author / Editor information
Timo Heister, Leo G. Rebholz, and Fei Xue, Clemson University, USA.
Topics
-
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Frontmatter
I -
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Preface
VII -
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Software
IX -
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Acknowledgment
XI -
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Support
XIII -
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Contents
XV -
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1. Computer representation of numbers and roundoff error
1 -
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2. Solving linear systems of equations
13 -
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3. Least squares problems
41 -
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4. Finite difference methods
53 -
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5. Solving nonlinear equations
71 -
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6. Eigenvalues and eigenvectors
93 -
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7. Interpolation
105 -
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8. Numerical integration
121 -
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9. Initial value problems
141 -
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10. Partial differential equations
159 -
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Index
173
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 18, 2019
eBook ISBN:
9783110573329
Paperback published on:
March 18, 2019
Paperback ISBN:
9783110573305
Pages and Images/Illustrations in book
Front matter:
18
Main content:
175
Illustrations:
6
Coloured Illustrations:
26
Tables:
30
Audience(s) for this book
Students and lecturers in applied and numerical mathematics, physics, and engineering.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
