Mathematical Principles for Scientific Computing and Visualization Review

Mathematical Principles for Scientific Computing and Visualization
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Many areas of scientific research, from biology to psychology, involve gathering data and computing results. While this book could have been easily considered in our Science, Nature and Technology section, it's reviewed here for its excellent insights for computer collections strong in both science and computational skills. It's a non-traditional introduction to the math of scientific computation and comes packed with many examples to provide readers with the right tools for using the software packages behind the computations. College-level collections strong in software engineering, science, math or computers will find it an excellent technical pick.


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This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coordinate systems, an introduction to facets (planes and triangle meshes) and an introduction to computer graphics. The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions). The visualization component of the book is separated into three parts: empirical data, scalar values over 2D data, and volumes.

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