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Analysis of Numerical Methods (Dover Books on Mathematics), by Eugene Isaacson, Herbert Bishop Keller

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In this age of omnipresent digital computers and their capacity for implementing numerical methods, no applied mathematician, physical scientist, or engineer can be considered properly trained without some understanding of those methods. This text, suitable for advanced undergraduate and graduate-level courses, supplies the required knowledge — not just by listing and describing methods, but by analyzing them carefully and stressing techniques for developing new methods.
Based on each author's more than 40 years of experience in teaching university courses, this book offers lucid, carefully presented coverage of norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation, numerical solution of differential equations, and more. No mathematical preparation beyond advanced calculus and elementary linear algebra (or matrix theory) is assumed. Examples and problems are given that extend or amplify the analysis in many cases.
- Sales Rank: #831905 in eBooks
- Published on: 2012-04-26
- Released on: 2012-04-26
- Format: Kindle eBook
About the Author
Walter Isaacson, the CEO of the Aspen Institute, has been chairman of CNN and the managing editor of "Time" magazine. He is the author of "Steve Jobs; Einstein: His Life and Universe"; "Benjamin Franklin: An American Life" and "Kissinger: A Biography". He lives in Washington, D.C., with his wife and daughter.
Chris Bishop has worked in packaging and book publishing since the early 1980s. Amongst his many projects are the Illustrated History of the Vietnam War and Vietnam Airwar Debrief.
Most helpful customer reviews
40 of 42 people found the following review helpful.
Maximum Numerical Analysis / $ in print today!
By A Customer
This is the classic work that explains in detail why numerical methods perform well or poorly. It's the best book I've ever read on Numerical Analysis. Great problems too! From Numerical Linear Algebra to PDE's the basic theory is explained beautifully. If you've ever wondered why iterating the corrector in the predictor-corrector method for solving ODE's doesn't do any good this is the book for you. As an inexpensive Dover paperback this is a real bargain!
3 of 4 people found the following review helpful.
A Classic Text
By Cardano
For a modest price you can own a cornerstone in the discipline of Numerical Analysis. There has been many changes in computing and the study of numerical analysis, but this reference provides a wonderful foundation to this topic. The work on numerical methods for ordinary differential equations is a true asset to the book, but this big little book contains material on a variety of topics. All the contemporary undergraduate textbooks can trace some part of their structure to this source. This book has surprising breadth in the topics it covers, but still supplies a depth of analysis for many of the numerical methods. This book is a wonderful reference and everyone that has any work to do in Numerical Analysis should have this book on their shelf.
1 of 1 people found the following review helpful.
great text, plus a secret message
By M. Holmes
I used this text in my graduate numerical analysis course back in the 20th century, and I certainly enjoyed learning the subject using it. It is a bit dated now, but I recommend it as a supplemental text for such a course. If you buy it, there is a secret message hidden in the Preface (compliments of Herb Keller). Here is a hint: Down with computers...
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