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Numerical Analysis
 
 

Numerical Analysis [Hardcover]

Richard L. Burden , J. Douglas Faires
2.6 out of 5 stars  See all reviews (8 customer reviews)

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Hardcover, December 2000 --  
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Numerical Analysis Numerical Analysis 2.6 out of 5 stars (8)
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Product Description

The new Seventh Edition of Burden and Faires' well-respected Numerical Analysis provides a foundation in modern numerical-approximation techniques. Explaining how, why, and when the techniques can be expected to work, the Seventh Edition places an even greater emphasis on building readers' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. Applied problems from diverse areas, such as engineering and physical, computer, and biological sciences, are provided so readers can understand how numerical methods are used in real-life situations. The Seventh Edition has been updated and now addresses the evolving use of technology, incorporating it whenever appropriate.

About the Author

Richard L. Burden is a Professor of Mathematics at Youngstown State University. His research interests include numerical linear algebra and numerical solution of partial differential equations.

J. Douglas Faires is a Professor of Mathematics at Youngstown State University. His research interests include analysis, numerical analysis, and mathematics history. Dr. Faires has won many awards, including Outstanding College-University Teacher of Mathematics, Ohio Section of MAA (1996) and Youngstown State University, Distinguished Professor for Teaching (1995-1996).

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8 Reviews
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2.6 out of 5 stars (8 customer reviews)
 
 
 
 
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1 of 1 people found the following review helpful
2.0 out of 5 stars Numerical Analysis for Dummies its not..., Feb 23 2003
By A Customer
This review is from: Numerical Analysis (Hardcover)
This book covers all the topics a reader would expect of numerical analysis and comes with a CD of pre-built code for many of the analysis techniques. From my perspective, the authors' present theorem and proof with relatively few examples. I found myself referring to Gerald and Wheatley's Applied Numerical Analysis (among others) for the duration of my college course to attain the level of understanding expected by the university. Gotta love libraries! At $.., this is the most expensive math book I've purchased, and I can say that I wouldn't value it at this price if it had not been selected by the university. Best of luck to those who read it...
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1 of 1 people found the following review helpful
4.0 out of 5 stars Review of Numerical Analysis, 7th edition, Dec 12 2002
This review is from: Numerical Analysis (Hardcover)
This is a numerical analysis book written from a mathematician's point of view, and requires from the reader a good background in calculus and linear algebra.

Even though the book has an initial chapter ("mathematical preliminaries"), reading this chapter is not enough if the student has not a good previous mathematical knowledge.

The book introduces modern approximation techniques and explains how, why and when these techniques are expected to work, and allows the reader to understand why one algorithm works better than other for a given problem.

The text contains many examples as well as application problems in various areas of science and engineering.

The book uses Maple as the standard software for symbolic and approximate calculus, even though Mathematica and Derive are mentioned too and could be used instead with small modifications.

The original English edition (7th edition) includes a CD-ROM with all the algorithms, expressed in different formats (C, Fortran, Pascal, Maple, Mathematica and MATLAB), although the Spanish translation (edited by Thomson Learning) does not include the CD-ROM. However, there is an Internet address in which the CD-ROM contents can be accessed.

To conclude, the book is a good text that requires a mathematical background from the reader and covers a broad range of modern approximation techniques. It is not a mere numerical methods cookbook, but a text that analyzes and applies the numerical methods instead.

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3.0 out of 5 stars full of errors, April 9 2003
By A Customer
This review is from: Numerical Analysis (Hardcover)
I normally don't write reviews for books, but I felt compelled to say that this book has quite a few errors that I've personally found quite annoying. The errors aren't mentioned in the authors' online errata either, which covers only the 1st printing. I'd think you could iron out most bugs after 7 editions, but apparently not. The coverage of material itself, while not great, is acceptable, but there are random errors scattered throughout that threw me off. At least a few of the algorithms, when implemented, don't work properly. Some of the solutions in the back aren't accurate or are just wrong (e.g., some ask for what h you need to be below a certain error bound, then proceed to give a larger h than is really necessary). Just my two cents.
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