Elementary Differential Geometry is popular PDF and ePub book, written by Barrett O'Neill in 2014-05-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Elementary Differential Geometry can be Read Online from any device for your convenience.
Elementary Differential Geometry Book PDF Summary
Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces. The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame fields, covariant derivatives, Frenet formulas, curves, mappings, tangent vectors, and differential forms. The publication then examines Euclidean geometry and calculus on a surface. Discussions focus on topological properties of surfaces, differential forms on a surface, integration of forms, differentiable functions and tangent vectors, congruence of curves, derivative map of an isometry, and Euclidean geometry. The manuscript takes a look at shape operators, geometry of surfaces in E, and Riemannian geometry. Concerns include geometric surfaces, covariant derivative, curvature and conjugate points, Gauss-Bonnet theorem, fundamental equations, global theorems, isometries and local isometries, orthogonal coordinates, and integration and orientation. The text is a valuable reference for students interested in elementary differential geometry.
Detail Book of Elementary Differential Geometry PDF
- Author : Barrett O'Neill
- Release : 12 May 2014
- Publisher : Academic Press
- ISBN : 9781483268118
- Genre : Mathematics
- Total Page : 422 pages
- Language : English
- PDF File Size : 10,8 Mb
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