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tensor analysis & differential geometry tracy thomas [pdf]

Tensor Analysis AND Differential Geometry by Tracy Thomas

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About this book :-
Tensor Analysis and Differential Geometry written by Tracy Thomas.
This books is best for students of pure mathematics as well as for those students whose primary interest is in the study of certain aspects of applied mathematics including the theory of relativity, fluid mechanics, elasticity, and plasticity theory.

Book Detail :-
Title: Tensor Analysis AND Differential Geometry
Author(s): Tracy Y. Thomas
Publisher: Academic Press
Year: 1961
Pages: 122
Type: PDF
Language: Englsih
Country: Indiana, US
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Book Contents :-
Tensor Analysis and Differential Geometry written by Tracy Thomas cover the following topics. '
Coordinate Manifolds
Vectors and Tensors
A Special Skew-symmetric Tensor
The Vector Product. Curl of a Vector
Riemann Spaces
Affinely Connected Spaces
Normal Coordinates
General Theory of Extension
Absolute Differentiation
Differential Invariants
Transformation Groups
Euclidean Metric Space
Homogeneous and Isotropic Tensors
Curves in Space. Frenet Formulae
Surfaces in Space
Mixed Surface and Space Tensors. Coordinate Extension and Absolute Differentiation
Formulae of Gauss and Weingarten
Gaussian and Mean Curvature of a Surface
Equations of Gauss and Codazzi
Principal Curvatures and Principal Directions
Asymptotic Lines
Orthogonal Ennuples and Normal Congruences
Families of Parallel Surfaces
Developable Surfaces. Minimal Surfaces

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