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Differential Geometry Curves - Surfaces - Manifolds

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ISBN-10: 0821839888

ISBN-13: 9780821839881

Edition: 2nd 2005 (Revised)

Authors: Wolfgang K�hnel

List price: $54.00
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Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in $I\!\!R3$ that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas. With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer andrewarding study of differential geometry, which is what is presented in this book. It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, then leads to an…    
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Book details

List price: $54.00
Edition: 2nd
Copyright year: 2005
Publisher: American Mathematical Society
Publication date: 12/13/2005
Binding: Paperback
Pages: 380
Size: 5.50" wide x 8.25" long x 1.00" tall
Weight: 1.034

Notations and prerequisites from analysis
Curves in $I\!\!R^n$
The local theory of surfaces
The intrinsic geometry of surfaces
Riemannian manifolds
The curvature tensor
Spaces of constant curvature
Einstein spaces
List of notation