A Comprehensive Introduction to Differential Geometry Volume Three

Spivak, Michael.

A Comprehensive Introduction to Differential Geometry Volume Three - United States of America : 1979 - 466 páginas

1.The fundamental equations for hypersurfaces. 2.Elements of the theory of surfaces in IR3. 3.A compendium of surfaces. 4.Curves on surfaces. 5.Complete surfaces of constant curvature. 6.The Gauss-Bonnet theorem and related topics. 7.Higher dimension and codimensions. 8.The second variation. 9.Variations of length, area, and volume. 10.And now a brief message from our sponsor. 11.Existence and Non-existence of Isometric imbedding. 12.Rigidity. 13.The generalized Gauss-Bonnet theorem and what it mean for mankind.

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516.4I/S75/V.III