Numerical Analysis: An Introduction

✍ Scribed by Timo Heister; Leo G. Rebholz; Fei Xue

• Publisher: De Gruyter
• Year: 2019
• Tongue: English
• Leaves: 194
• Category: Library

✦ Synopsis

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

✦ Table of Contents

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