Numerical Analysis: An Introduction

Numerical Analysis: An Introduction (De Gruyter Textbook)
Authors: Timo Heister – Leo G Rebholz – Fei Xue
ISBN-10: 311057330X
ISBN-13: 9783110573305
Released: 2019-03-18
Paperback: 193 pages
Book 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.
Contents
1 Computer representation of numbers and roundoff error
2Solving linear systems of equations
3 Least squares problems
4 Finite difference methods
5 Solving nonlinear equations
6Eigenvalues and eigenvectors
7Interpolation
8 Numerical integration
9 Initial value problems
10 Partial differential equations
Index