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Title: Numerical Analysis by Richard L. Burden, J. Douglas Faires, Albert C. Reynolds ISBN: 0-87150-243-7 Publisher: Thomson Learning College Pub. Date: 01 January, 1978 Format: Paperback List Price(USD): $22.00 |
Average Customer Rating: 2.85 (20 reviews)
Rating: 4
Summary: Review of Numerical Analysis, 7th edition
Comment: 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.
Rating: 4
Summary: Numerical Analysis explained..
Comment: I use this book in a two-semester class on Numerical Analysis that I teach at Chapman University. I like the book. It starts with root-finding and interpolation algorithms, progresses to numerical estimates of derivatives and integrals. Each section is typically accompanied by the relevant algorithm(s) in pseudo-code, which I find easily translate to C or C++. Examples in Maple are given, and I've used MATLAB as well in conjunction with the book.
I rated the book with 4 stars instead of 5 for minor reasons. For example, I think a clearer description of Gaussian Quadriture could be presented, and there are other Quadriture methods that could be presented (Chebychev, Laguerre). Rational polynomial interpolation should be included as a topic. The chapters on numerical solution of differential equations are particularly good. The text developes Runge-Kutta (2nd and 4th orders) and shows how RK is used to solve systems of ODEs or higher-order DEs by introducing intermediate variables. Algorithm 5.7 (page 320) is an implementation of the solution of 'm' linear DEs that is quite simple if one uses function pointers.
The chapters on linear algebra are quite good as are the sections on approximation.
One feature of the text I find helpful is the "real world" engineering problems that are included.
Rating: 3
Summary: full of errors
Comment: 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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Title: Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) by Walter Rudin ISBN: 007054235X Publisher: McGraw-Hill Science/Engineering/Math Pub. Date: 01 January, 1976 List Price(USD): $147.70 |
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Title: Database Systems Concepts with Oracle CD by Abraham Silberschatz, Henry F. Korth, S. Sudarshan ISBN: 0072554819 Publisher: McGraw-Hill Science/Engineering/Math Pub. Date: 30 October, 2001 List Price(USD): $117.90 |
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Title: A First Course in Numerical Analysis by Anthony Ralston, Philip Rabinowitz ISBN: 048641454X Publisher: Dover Publications Pub. Date: 01 January, 2001 List Price(USD): $21.95 |
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Title: Elementary Classical Analysis by Jerrold E. Marsden, Michael J. Hoffman ISBN: 0716721058 Publisher: W.H. Freeman & Company Pub. Date: 01 April, 1993 List Price(USD): $118.75 |
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Title: Linear Algebra (4th Edition) by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence ISBN: 0130084514 Publisher: Pearson Education Pub. Date: 11 November, 2002 List Price(USD): $106.67 |
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