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An Introduction to Numerical Methods

Autor Abdelwahab Kharab, Ronald Guenther
en Limba Engleză Hardback – 10 iul 2018
Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB(R) Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos.
Features
  • Covers the most common numerical methods encountered in science and engineering
  • Illustrates the methods using MATLAB
  • Presents numerous examples and exercises, with selected answers at the back of the book
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Specificații

ISBN-13: 9781138093072
ISBN-10: 1138093076
Pagini: 615
Ilustrații: 83 Tables, black and white; 133 Illustrations, black and white
Dimensiuni: 260 x 186 x 43 mm
Greutate: 1.37 kg
Ediția:4. Auflage
Editura: Taylor & Francis Ltd.

Cuprins

1 Introduction
2 Number System and Errors
3 Roots of Equations
4 System of Linear Equations
5 Interpolation
6 Interpolation with Spline Functions
7 The Method of least-squares
8 Numerical Optimization
9 Numerical Di¿erentiation
10 Numerical Integration
11 Numerical Methods for Linear Integral Equations
12 Numerical Methods for Di¿erential Equations
13 Boundary-Value Problems
14 Eigenvalues and Eigenvectors
15 Dynamical Systems and Chaos
16 Partial Di¿erential Equations
Bibliography and References
Appendix A Calculus Review
Appendix B MATLAB Built-in Functions
Appendix C Text MATLAB Functions
Appendix D MATLAB GUI
Answers to Selected Exercises

Notă biografică

Abdelwahab Kharab is an associate professor in the College of Arts and Sciences at Abu Dhabi University. His research interests include numerical analysis and simulation for the numerical solution of partial differential equations that arise in science and engineering.
Ronald B. Guenther is an Emeritus Professor in the Department of Mathematics at Oregon State University. His research interests include mathematically modeling deterministic systems and the ordinary and partial differential equations that arise from these models.

Recenzii

Praise for Previous Editions
"Kharab and Guenther offer an attractive, clear, error-free, and well-written introduction to numerical methods … Highly recommended."
J.H. Ellison, CHOICE

"Overall, this is one of the best numerical methods book that I have come across. I strongly recommend it to be used for any undergraduate introductory course in numerical analysis for science and engineering students."
Jamal Benbourenane, Abu Dhabi University

Descriere

Descriere de la o altă ediție sau format:
An Introduction to Numerical Methods: A MATLAB® Approach, Fifth Edition continues to offer readers an accessible and practical introduction to numerical analysis. It presents a wide range of algorithms for scientific and engineering applications, using MATLAB to illustrate each numerical method.