NSW DER Laptops

A forum for teachers that are using the NSW Digital Education Revolution (DER) laptops


You are not connected. Please login or register

Differential geometry

Go down  Message [Page 1 of 1]

1 Differential geometry on Tue Dec 14, 2010 8:16 am

Differential geometry is a mathematical discipline using the techniques of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry. The theory of plane and space curves and of surfaces in the three-dimensional Euclidean space formed the basis for its initial development in the eighteenth and nineteenth century. Since the late nineteenth century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. It is closely related to differential topology, and to the geometric aspects of the theory of differential equations. Grigori Perelman's proof of the Poincaré conjecture using the techniques of Ricci flow demonstrated the power of the differential-geometric approach to questions in topology and highlighted the important role played by the analytic methods. Differential geometry of surfaces already captures many of the key ideas and techniques characteristic of the field.

Estate Agents Office Refurbishment
Tapware

View user profile

Back to top  Message [Page 1 of 1]

Permissions in this forum:
You cannot reply to topics in this forum