First steps in numerical analysis / R.J. Hosking, S. Joe, D.C. Joyce and J.C. Turner.
By: Hosking, R. J [author]
.
Contributor(s): Joe, S [author] | Joyce, D. C [author] | Turner, J. C [author].
Material type: 
BookPublisher: London : Arnold, 1996Copyright date: ©1996Edition: 2nd edition.Description: x, 222 pages ; 24 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 0340631996 (paperback).Subject(s): Numerical analysisDDC classification: 518 | Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
| General Lending | MTU Bishopstown Library Lending | 518 (Browse shelf(Opens below)) | 1 | Available | 00074799 |
Enhanced descriptions from Syndetics:
This book provides an excellent introduction to the elementary concepts and methods of numerical analysis for students meeting the subject for the first time. The established style of the original is retained with the subject matter being organized into fundamental topics and presented as a series of 'steps.' At the end of each step, checkpoints are included to allow the reader to gauge their understanding of the concepts introduced. In addition, pseudocode is included to allow students to develop computer programs using standard numerical algorithms.
The revisions reflect the huge advances that have occurred in inexpensive computational aids in recent years. New material has been included on systems of linear equations, curve fitting and differential equations. There are additional exercises, and the total number of steps has increased to 35. The result is an invaluable introduction to the basic ideas and methods underlying numerical analysis for all those new to the subject, whether they study at school, college or university.
Bibliography: (page 216) and index.
Errors -- Nonlinear equations -- Systems of linear equations -- The Eigenvalue problem -- Finite differences -- Interpolation -- Curve fitting -- Numerical differentiation -- Numerical integration -- Ordinary differential equations.
Table of contents provided by Syndetics
- Preface to the second edition
- Preface to the first edition
- Prologue
- Errors
- 1 Sources of error
- 2 Approximation to numbers
- 3 Error propagation and generation
- 4 Floating point arithmetic
- 5 Approximation to functions
- Nonlinear Equations
- 6 Nonlinear algebraic and transcendental equations
- 7 The bisection method
- 8 Method of false position
- 9 The method of simple iteration
- 10 The Newton-Raphson iterative method
- Systems of Linear Equations
- 11 Solution by elimination
- 12 Errors and ill-conditioning
- 13 The Gauss-Seidel iterative method
- 14 Matrix inversion*
- 15 Use of LU decomposition*
- 16 Testing for ill-conditioning*
- The Eigenvalue Problem
- 17 The power method
- 18 Tables
- 19 Forward, backward, and central difference notations
- 20 Polynomials
- Interpolation
- 21 Linear and quadratic interpolation
- 22 Newton interpolation formulae
- 23 Lagrange interpolation formula
- 24 Divided differences*
- 25 Inverse interpolation*
- Curve Fitting
- 26 Least squares
- 27 Least squares and linear equations*
- 28 Splines*
- Numerical Differentiation
- 29 Finite differences
- Numerical Integration
- 30 The trapezoidal rule
- 31 Simpson's rule
- 32 Gaussian integration formulae
- Ordinary Differential Equations
- 33 Single-step methods
- 34 Multistep methods
- 35 Higher order differential equations*
- Applied Exercises
- Appendix: Pseudo-code
- Answers to the Exercises
- Bibliography
- Index