Customer Reviews

The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing

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This book is not for beginners. But for anyone interested in numerical
analysis techniques, and with at least a full course or comparable
experience, it is an absolute goldmine of clever ideas with working
code, mostly in MATLAB or Mathematica. Each of 10 problems is
solved by several different techniques, usually to multiple numbers
of significant digits, with either proofs or ways to estimate the
number of correct digits or how much work is required to get the
number of correct digits one is interested in. Nicely written
with an excellent bibliography and introductory summary in an
Appendix. A few errors here and there in the equations, maybe
a deliberate test of whether the reader is paying attention.
Highly recommended to the indicated audience.

This is a good book containing a lot about high accuracy computation. Ten problems are discussed with details related to many areas of mathematics. A lot of codes of many mathematics software are shown with a helpful appendix. A web page of this book is also a highlight. You can even practice with it exhaustingly and enjoyably.

The book is ogranized by problem, not technique, and so the motivation is apparent before the theory is introduced. Some of the solutions are so clever they seem almost magical.