By Detlef Laugwitz
The publication first bargains info on neighborhood differential geometry of house curves and surfaces and tensor calculus and Riemannian geometry. Discussions specialise in tensor algebra and research, notion of a differentiable manifold, geometry of an area with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces.
The manuscript then examines extra improvement and functions of Riemannian geometry and decisions from differential geometry within the huge, together with curves and surfaces within the huge, areas of continuing curvature and non-Euclidean geometry, Riemannian areas and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry.
The booklet elaborates on prerequisite theorems of study, in addition to the lifestyles and area of expertise theorem for traditional first-order differential equations and platforms of equations and integrability idea for platforms of first-order partial differential equations.
The e-book is a useful reference for researchers attracted to differential and Riemannian geometry.
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