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Rating: 
Summary: This is the first numerical methods to pull from your shelf.
Review: Forman Acton lucidly describes basic numerical methods.The only topic not covered in this book is the solution ofsystems of linear equations, although to some extent this is treated in the sections on PDEs and eigensystems. Generally speaking, he covers the concepts behind the algorithms before introducing the algorithms themselves, and does not confuse the reader with sophisticated derivations. For getting acquainted with numerical methods generally, or as a starting point for deeper investigation, or as a cookbook enabling the reader to quickly implement a method in his program without becoming a numerical analyst, this book is ideal.
Rating: 
Summary: My favorite book on numerical methods
Review: I am an engineer and years ago I needed some crash training on numerical methods. A former teacher of mine recommended this book for self-study. It is an excellent starter book for someone who wants a gentle introduction to numerical methods.
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Summary: The Lore of Numerical Analysis
Review: I love lore books, because they distill the wisdom of a leading practitioner of a field into something I can absorb without having to make all the same mistakes myself. Numerical Methods that Work is a wonderfully candid and good-humoured lore book that I keep coming back to. Besides helping me stay out of trouble, it's such a fun read that I sometimes pull it down from the shelf to read like a novel. This isn't really a numerical analysis textbook per se--you won't learn how to code the conjugate gradient method, or analyze a SVD routine for roundoff sensitivity, but reading it and making its attitude your own will make your programs better and (if you're like me) save you from lots of painful blunders.
Rating:
Summary: The Lore of Numerical Analysis
Review: I love lore books, because they distill the wisdom of a leading practitioner of a field into something I can absorb without having to make all the same mistakes myself. Numerical Methods that Work is a wonderfully candid and good-humoured lore book that I keep coming back to. Besides helping me stay out of trouble, it's such a fun read that I sometimes pull it down from the shelf to read like a novel. This isn't really a numerical analysis textbook per se--you won't learn how to code the conjugate gradient method, or analyze a SVD routine for roundoff sensitivity, but reading it and making its attitude your own will make your programs better and (if you're like me) save you from lots of painful blunders.
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