Fundamentals of Numerical Computing 1st Edition by L. F. Shampine (PDF)

Description

This book examines the solution of some of the most common problems of numerical computation. By concentrating on one effective algorithm for each basic task, it develops the fundamental theory in a brief, elementary way. There are ample exercises, and codes are provided to reduce the time otherwise required for programming and debugging. Exposes reader to the art of numerical computing as well as the science.

User’s Reviews

Editorial Reviews: From the Publisher This book examines the solution of some of the most common problems of numerical computation. By concentrating on one effective algorithm for each basic task, it develops the fundamental theory in a brief, elementary way. There are ample exercises, and codes are provided to reduce the time otherwise required for programming and debugging. Exposes readers to art of numerical computing as well as the science. Readers need only a familiarity with either FORTRAN or C. Applications are taken from a variety of disciplines including engineering, physics, and chemistry. About the Author L. F. Shampine and Rebecca Chan Allen are the authors of Fundamentals of Numerical Computing, published by Wiley.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Written in a easy-to-understand manner. Plus plenty of codes on website so I have no problem programming. One con is there are a lot of typo’s in the book, but it’s easy to figure out. Overall very satisfied.

⭐This book is outright intended as an upper-undergraduate or graduate course book, and nothing more. If you’re a working programmer (or scientist, engineer, or any other technical profession that bridges with numerical computing), this book is almost certainly going to be useless to you.There’s not a stitch of code anywhere in the book. The authors intend the book to be used with FORTRAN, C, C++, Matlab, and Mathematica, which makes it virtually impossible to actually use directly for any of those languages. The “source disk” is actually a download from ftp.wiley.com (which is still available), where you have to download each file individually. The source code (or “codes” as they repeatedly misuse) is below-average quality, and yet is written to be a reusable library of source code for which you appear to be granted exactly NO rights to use.The “codes” are quite obviously written by non-programmers, because they’re chock full of poor practice (AKA “educational quality”). The C source is “K&R C”, otherwise known as “ancient” by this time – ANSI C was already 10 years old when this book was published. My FORTRAN is too rusty to provide insight into that code; it’s been more than 25 years since I handled FORTRAN in any meaningful way.This book will sit on a shelf until I find a use for it, such as placing it under the leg of a table to keep it from wobbling, or maybe using the book as a coaster. The math is “too math-y” to be useful for programming, and the discussion is too blandly generic to help actually figure out how to translate the math to code.Final analysis: avoid this as a “numerical” resource and spend your hard-earned greenbacks on books that’re actually good; “Numerical Recipes in C” (or the C++ version), or “An Introduction to Numerical Methods in C++” are exceptionally good places to start.

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