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Cover image for Mathematical principles for scientific computing and visualization
Title:
Mathematical principles for scientific computing and visualization
Personal Author:
Publication Information:
Wellesley, Mass. : AK Peters, c2008
Physical Description:
xiv, 280 p. : ill. ; 25 cm.
ISBN:
9781568813219
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Library
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Call Number
Material Type
Item Category 1
Status
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30000010296476 Q183.9 F37 2008 Open Access Book Book
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Summary

Summary

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.


Reviews 1

Choice Review

This nontraditional book can be used either as a resource for upper-division computer science courses or as a reference for scientists and engineers. There are several software packages in wide use that make scientific computation and visualization easier to perform. However, the premise of Farin and Hansford (both, Arizona State Univ.) is that without a basic understanding of the mathematics of a problem, the use of these packages could very well give unrecognized erroneous results. The volume is divided into three sections. The first gives enough mathematics to support the other two, and only requires the mathematics found in the first two years of mathematics, science, or engineering curricula. The second and third sections of the book cover scientific computing and visualization independently. Material is cross-referenced as required. There are numerous examples, and the exercises are designed to stimulate insight into the issues, rather than provide drill and practice. Mathematical Principles for Scientific Computing and Visualization is unique in its approach and written in an informal style appropriate to its audience. Especially valuable for libraries supporting computer science, science, and engineering programs. Summing Up: Highly recommended. Upper-division undergraduates through professionals/practitioners. D. Z. Spicer University System of Maryland


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