Numerical Methods that Work (MAA Spectrum Series)
Numerical Methods that Work (Spectrum)
By Forman S. Acton
Publisher: The Mathematical Association of America
Number Of Pages: 569
Publication Date: 1997-08-07
ISBN-10 / ASIN: 0883854503
ISBN-13 / EAN: 9780883854501
Binding: Paperback
Numerical Methods that Work, originally published in 1970, has been reissued by the MAA with a new preface and some additional problems. Acton deals with a commonsense approach to numerical algorithms for the solution of equations: algebraic, transcendental, and differential. He assumes that a computer is available for performing the bulk of the arithmetic. The book is divided into two parts, either of which could form the basis of a one-semester course in numerical methods. Part I discusses most of the standard techniques: roots of transcendental equations, roots of polynomials, eigenvalues of symmetric matrices, and so on. Part II cuts across the basic tools, stressing such commonplace problems as extrapolation, removal of singularities, and loss of significant figures. The book is written with clarity and precision, intended for practical rather than theoretical use. This book will interest mathematicians, both pure and applied, as well as any scientist or engineer working with numerical problems.
Summary: The Lore of Numerical Analysis
Rating: 5
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.
Summary: My favorite book on numerical methods
Rating: 4
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.
Summary: This is the first numerical methods to pull from your shelf.
Rating: 5
Forman Acton lucidly describes basic numerical methods. The only topic not covered in this book is the solution of systems 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.
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