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Numerical Analysis: Mathematics of Scientific Computing
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Numerical Analysis: Mathematics of Scientific Computing Customer Reviews
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A higher level of rigor than found in most numerical methods texts
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I teach a course in numerical methods every other year and use Maple as the platform for the computer solution of problems. At this time, I am using "Numerical Methods: Third edition" by Faires and Burden and am quite happy with it. However, I am always trolling for better textbooks so that it is premise with which I examined this book.
The level of rigor is on the higher end of the scale, there are many more formal theorems and proofs than is found in most of the other numerical methods textbooks. Rather than using code in Maple or Mathematica, the algorithms are expressed in a lower level pseudocode. It has the appearance of a programming language; however some of the operations are expressed in mathematical form for brevity. This use of the mathematical syntax generally makes them easier to understand than if they were expanded out using a programming language. There are many exercises at the end of the sections, including a group meant for computer solution.
I will not be adopting this book for my class, the level of rigor is a bit higher than my students can easily digest and quite frankly, I am hooked on using Maple as the computer platform. Nevertheless, it serves as a valuable secondary reference, where when necessary, I can look through a detailed proof of a topic that I am about to present.
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