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Geometric Differentiation - For the Intelligence of Curves and Surfaces (Hardcover, 2nd Revised edition)
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Geometric Differentiation - For the Intelligence of Curves and Surfaces (Hardcover, 2nd Revised edition)
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This is a revised and extended version of the popular first
edition. Inspired by the work of Thom and Arnol'd on singularity
theory, such topics as umbilics, ridges and subparabolic lines, all
robust features of a smooth surface, which are rarely treated in
elementary courses on differential geometry, are considered here in
detail. These features are of immediate relevance in modern areas
of application such as interpretation of range data from curved
surfaces and the processing of magnetic resonance and cat-scan
images. The text is based on extensive teaching at Liverpool
University to audiences of advanced undergraduate and beginning
postgraduate students in mathematics. However, the wide
applicability of this material means that it will also appeal to
scientists and engineers from a variety of other disciplines. The
author has included many exercises and examples to illustrate the
results proved.
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