math 439 dierential geometry of curves and surfaces fall 2012 instructor igor zelenko ocemilner 324 e mail zelenko math tamu edu dierential geometry is one of the central areas of ...
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...Math dierential geometry of curves and surfaces fall instructor igor zelenko ocemilner e mail tamu edu is one the central areas modern mathematics it provides standard language for theoretical physics g general relativ ity elementary particles theory has many applications in engineering analysis stress strain materials continuum mechanics control computer science course rst introduction to this exciting subject part on simplest examples r we will examine several fundamental concepts such as moving frames curvatures covariant derivatives parallel transport geodesics etc if time permit make an manifolds tensors riemannian prerequisites theonlyprerequisiteismultivariablecalculus some basic knowledge matrices within what taught equa tions main textbook sur faces by manfredo do carmo prentice hall serve a resource lot exercises additional recommended lectures iskander taimanov ems series concise focused...