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Rating: 
Summary: From a student's view......Garbage
Review: I had to use this book for an undergraduate Numerical Analysis class. I'm a Computer Science major with a math minor and this is my last semester. I found this book to be horrible when coupled with an instructor that is equally as horrible. The explainations are too short and lack examples, the problems in each chapter are hard to solve based on the chapter's explaination; they seem to deviate far beyond what was explained in the corresponding chapter. There are some formulas and theorem's mentioned that have no examples to show how they work. The book is not totally at fault in my case. I also have a horrible instructor and have to rely soley on this book to learn the material. This book just makes it very, very hard to teach myself. My only praise of the book is it's pseudocode for implementing the methods explained. They can easily be used to program them in C++ or other languages. Overall the book is very confusing but it is still far better than my instructor who doesn't explain anything or answer questions.
Rating: 
Summary: Reader from Belgium compares to the wrong book
Review: The description "it looks like they cut the 2nd edition in half and labeled it '4th edition'" would be approximately correct if you talk about the 2nd edition of the much more advanced text by approximately the same authors, "Numerical Analysis: Mathematics of Scientific Computing" by Kincaid, Cheney and Cheney, which was published in 1995 and does conform to the description "covered so much in detail". If you expect graduate level coverage, that is the book to get, not this one, which is an undergraduate text, and aimed at students that don't major in math.
Rating:
Summary: Basic but Good
Review: This is a good, basic, undergraduate text covering scientific computing. It gives a nice, broad overview of some basic topics, problems for the student to solve, and is generic as far as programming languages are concerned. That being said, for my use this book was not detailed enough and failed to go into sufficient detail into many different areas (such as the eigenproblem). It is definantly an undergrad text and would be an excellent choice for a 300-level math or computer science class, it also provides a good general background in numerical computing. In that regard this book is a fine choice.
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