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An Introduction to Numerical Methods: A MATLAB Approach, Third Edition, by Abdelwahab Kharab, Ronald B. Guenther
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Highly recommended by CHOICE, previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB� Approach, Third 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 computer results so that the main steps are easily visualized and interpreted.
New to the Third Edition
- A chapter on the numerical solution of integral equations
- A section on nonlinear partial differential equations (PDEs) in the last chapter
- Inclusion of MATLAB GUIs throughout the text
The book begins with simple theoretical and computational topics, including computer floating point arithmetic, errors, interval arithmetic, and the root of equations. After presenting direct and iterative methods for solving systems of linear equations, the authors discuss interpolation, spline functions, concepts of least-squares data fitting, and numerical optimization. They then focus on numerical differentiation and efficient integration techniques as well as a variety of numerical techniques for solving linear integral equations, ordinary differential equations, and boundary-value problems. The book concludes with numerical techniques for computing the eigenvalues and eigenvectors of a matrix and for solving PDEs.
CD-ROM Resource
The accompanying CD-ROM contains simple MATLAB functions that help students understand how the methods work. These functions provide a clear, step-by-step explanation of the mechanism behind the algorithm of each numerical method and guide students through the calculations necessary to understand the algorithm.
Written in an easy-to-follow, simple style, this text improves students’ ability to master the theoretical and practical elements of the methods. Through this book, they will be able to solve many numerical problems using MATLAB.
- Sales Rank: #528577 in Books
- Published on: 2011-11-16
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x 7.00" w x 1.25" l, 2.55 pounds
- Binding: Hardcover
- 576 pages
Review
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
About the Author
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.
Most helpful customer reviews
3 of 3 people found the following review helpful.
A good text to start with.
By Andrew
The book provides a solid start for Numerical Methods, especially for those learning Matlab while having their first introductory course in Numerical Methods.
My recommendation is to read through the chapter and play with the code(the book comes with a CD with all m-files used in the book on it). If you are just learning Matlab, try changing the code to do different things and see what happens. Create an m-file or two that checks the slope across the curve created and plot a few of the arrays in the text.
The worst thing you can do with this book is try and avoid the code, even if Matlab is new and frustrating. The introductions are rather theoretical (especially for the Junior level undergraduate who is just entering or who hasn't had proofs), but if you work at it the text will make sense.
I give it four stars for the somewhat theoretical introductions, but this was my first real introduction to Matlab and Numerical Methods. I can say after working through the book it prepares you well for future mathematical work and a background in Matlab makes it easy crossover to Maple or pick up c/c++.
1 of 1 people found the following review helpful.
Previous matlab experience required
By Natalie sheffield
It's a very good book, but the code they use is very advanced programming, when the same code to complete the calculations can be written much simpler, and easier to understand.
Overall awesome book for understanding the principles but don't expect to learn matlab from it.
0 of 0 people found the following review helpful.
... just too many typing errors which can be extremely annoying. You try to follow examples and keep getting ...
By michael fritz
There are just too many typing errors which can be extremely annoying. You try to follow examples and keep getting the wrong answer only to find one of the plus signs is a minus sign and then when you look at the selected answers to see if you are doing it right it might be showing you "the solution for number 4" but you come to realize nope its actually the solution for number 5. It is a terrible textbook in my opinion.
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