Rating: 
Summary: Very moderate calculus is all it takes
Review: Anyone who thinks this book is too difficult and/or requires a Ph.D. in mathematics has simply never learned any math, such as calculus and linear algebra. In that case, it's indeed easier to simply buy software that implements all the necessary numerical algorithms. This book is not a set of instructions for using a calculator, it is a book for an intelligent reader who thinks creatively and wants to understand the logic behind classical numerical methods.Very transparent, clear, and straight to the point this book is all I needed to quickly learn about the Gaussian quadrature and understanding both the algorithm itself as well as WHY IT WORKS AND DOES SO EFFICIENTLY. Please disregard the previous author's review, as its poisonous tone alone should suggest that he is trying to blame his own mathematical deficiencies upon the authors of this very worthwhile text.
Rating: 
Summary: Algo difícil
Review: El libro es siempre difícil, especialmente para los ejemplos. Algunos ejercicios son muy complicados.
Rating: 
Summary: A very dry read.
Review: I am a computer science major at Southwest Missouri State University and I found this book to be pretty much worthless. It is hard to understand and does not give very good examples of what is being spoken about. I am currently looking for a new book and plan on returning this one back to the book store from which it came.
Rating: 
Summary: Mediocre
Review: I am a Math/CS major in my senior year and I am learning Numerical Methods in spite of this book it sometime seems. It has all the necessary information, but the examples are all given through algebra (never a good proof machine except when you are in need of being pedantic) rather than through logical arguments. It seems to provide only information and not intuition. I don't know what other books are available, but you might want to check them out first.
Rating:
Summary: Middle of the Road
Review: I did not give this book five stars only because it could have been thicker and covered a larger number of algorithms. I had a course which used this book after I had taken advanced calculus and linear algebra courses. With that background it was a very comprehensible book, and in fact, contrary to what other reviewers have said it is an excellent book on Numerical Analysis. It developes good intuition on doing NA. I would like to note that some reviewers seem to misunderstand what NA is. NA is the analysis of numerical methods, not just a cookbook of numerical methods. This book is great for NA and good for numerical methods, because the algorithms are clearly described. Maybe I should have given it 5 stars, since it does such a good job of developing intuition and understanding about NA that you can probably do the NA of other methods yourself.
Rating: 
Summary: This is a good book
Review: I did not give this book five stars only because it could have been thicker and covered a larger number of algorithms. I had a course which used this book after I had taken advanced calculus and linear algebra courses. With that background it was a very comprehensible book, and in fact, contrary to what other reviewers have said it is an excellent book on Numerical Analysis. It developes good intuition on doing NA. I would like to note that some reviewers seem to misunderstand what NA is. NA is the analysis of numerical methods, not just a cookbook of numerical methods. This book is great for NA and good for numerical methods, because the algorithms are clearly described. Maybe I should have given it 5 stars, since it does such a good job of developing intuition and understanding about NA that you can probably do the NA of other methods yourself.
Rating:
Summary: full of errors
Review: 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.
Rating:
Summary: Numerical Analysis explained..
Review: 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:
Summary: Good book
Review: I would disagree with the previous reviewer. I found that this book explains well and is easy to follow. This book is suited for the entry level. With moderate calculus, you should be able to read this book.
Rating:
Summary: Hard to understand
Review: I'm a computer science student at the University of British Columbia. In all the textbooks that I have bought, this is probably the toughest one to understand. I need to buy the study guide to supplement my reading
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