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Differential geometry and its applications, 2d ed.


Differential geometry and its applications, 2d ed.

Oprea, John.

Mathematical Assn. of America


469 pages




With its hearty history and its many triumphs in the study of everything from the fundamentals of nature to DNA, differential geometry is not an ordinary branch of mathematics. Oprea (mathematics, Cleveland State U.) argues that differential geometry combines features of geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations and ideas taken from the sciences, and makes his case for taking his point of view with this undergraduate text that works with computer algebra programs to achieve visible results. Along the way he covers the geometry of curves, surfaces, curvatures, constant mean curvature surfaces, geodesics, metrics, isometries, holonomy and the Gauss-Bonnet theorem, the calculations of variations and geometry, and higher dimensions, just for fun.

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Publication:SciTech Book News
Article Type:Brief Article
Date:Sep 1, 2007
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