Numerical Analysis

by Timothy Sauer

Numerical Analysis, designed to be used in a one-year course in engineering, science and mathematics, helps the readers gain a deeper understanding of numerical analysis by highlighting the five major ideas of the Convergence, Complexity, Conditioning, Compression, and Orthogonality and connecting back to them throughout the text. Each chapter contains a Reality Check, an extended foray into a relevant application area that can be used as a springboard for individual or team projects. MATLAB is used throughout to demonstrate and implement numerical methods. Fundamentals. Solving Equations. Systems of Equations. Interpolation. Least Square. Numerical Differentiation and Integration. Ordinary Differential Equations. Boundary Value Problems. Partial Differential Equations. Random Numbers and Applications. Trigonometric Interpolation and the FFT. Compression. Eigenvalues and Singular Values. Optimization.
For all readers interested in numerical analysis.

Genres: Mathematics

688 pages, Hardcover

Published December 17, 2005

Reviews

[Stephanie · Rating 3 out of 5]

Overall, the book had a lot of straightforward concepts and for some of the topics, well detailed explanations. The problems were fair in the textbook and gave great practice. But overall, some topics were very confusing and explanations seemed to be very vague or over complicated at times.

[Jerry · Rating 3 out of 5]

Topics are well structured but lack of rigour is very annoying

[Lucm · Rating 3 out of 5]

The book is well written. There are plenty of worked examples to illustrate the theory. However, the editing is very bad (2nd edition). The index is so poor it is useless and makes the book a poor reference. It should not be called "index" actually as it is just a reference of words in the text, without any real interest. The index lists all appearances of a set of non-specific math terms, without necessarily any relation to the book topic. On the other hand, the index lacks indexing of important words or abbreviations specific to the topic (like QR factorisation, note that "factorisation" alone is not in the index either, only "factoring", "factoring out" and "factors" are, but they point to the exercises pages or examples, not to the definition or procedure of QR factorisation (which would be the useful references). Besides, the table of content is poor and mentions only the chapters, not the sections (the author is mentioned below each chapter header, as if the book used the wrong book template).

[Josh Ferge · Rating 5 out of 5]

This was probably my favorite textbook while in college. It is straight to the point, explains the concepts very well, and gives examples for every type of problem mentioned.