Effective Computational Geometry for Curves and Surfaces by Konstantinos Efstathiou

Effective Computational Geometry for Curves and Surfaces



Download Effective Computational Geometry for Curves and Surfaces




Effective Computational Geometry for Curves and Surfaces Konstantinos Efstathiou
Language: English
Page: 352
Format: pdf
ISBN: 354024316X, 9783540243168
Publisher: Springer

Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems. The parametric nature of these examples leads naturally to the study of the major qualitative changes of such systems (metamorphoses) as the parameters are varied. The symmetries of these systems, discrete or continuous, exact or approximate, are used to simplify the problem through a number of mathematical tools and techniques like normalization and reduction. The book moves gradually from finding relative equilibria using symmetry, to the Hamiltonian Hopf bifurcation and its relation to monodromy and, finally, to generalizations of monodromy.

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