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Tensor Geometry

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Semi-Riemannian Geometry With Applications to Relativity

with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and;

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Tensor Calculus

Tensor Calculus while presenting the concepts and techniques begins with a brief introduction and history of tensors, followed by the study;

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Vertex Algebras and Geometry

This book contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry, held from October 8-9, 2016, and the mini;

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An Introduction to Riemannian Geometry and the Tensor Calculus

work on differential geometry of generalised space. The subject is treated with the aid of the Tensor Calculus, which is associated with the;

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Introduction to Differential Geometry with Tensor Applications

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to;

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An Introduction To Differential Geometry - With The Use Of Tensor Calculus

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Tensor Operators & their Applications

geometry. This book is intended to provide a systematic introduction to the theory of tensor operators. This book is suitable for researchers, and;

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Applications of Tensor Analysis

preliminaries (notation, definitions, determinants, tensor analysis); algebraic geometry (rectilinear coordinates, the plane, the straight line, the;

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Tensor Calculus

illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. The first five chapters;

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Introduction to Vector and Tensor Analysis

geometry, tensor processes of differentiation, geodesics, the curvature tensor and its algebraic properties, and general relativity theory.

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Infinite-Dimensional Manifolds

fields, tensor bundles, Lie derivatives, integral curves, geometry of Lie derivatives, exterior derivatives, derivative operators, partial;

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An Introduction to Differential Geometry

A solid introduction to the methods of differential geometry and tensor calculus, this volume is suitable for advanced undergraduate and;

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Vector and Tensor Analysis

can well be recommended." NatureHere is a clear introduction to classic vector and tensor analysis for students of engineering and;

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Mathematical Methods of Analytical Mechanics

Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties;

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Differential Geometry and Tensors

Tensors. The book is self-contained and divided in two parts. Section A deals with Differential Geometry and Section B is devoted to the study;

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Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The

of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory.;

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Tensor Analysis for Engineers

techniques of tensor analysis for applications in practical problem solving and analysis activities. The geometry is limited to the Euclideanspace;

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Tensor Geometry

This treatment of differential geometry and the mathematics required for general relativity makes the subject accessible, for the first;

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Tensor Calculus and Analytical Dynamics

Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both;

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Tensor and Vector Analysis

of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both;

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Geometric Science of Information

information geometry; probability density estimation; session geometry of tensor-valued data; geodesic methods with constraints; applications;

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Visual Differential Geometry and Forms

in terms of 2-forms; de Rham cohomology; differential geometry via Cartan's method of moving frames; and the calculation of the Riemann tensor;

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Visual Differential Geometry and Forms

in terms of 2-forms; de Rham cohomology; differential geometry via Cartan's method of moving frames; and the calculation of the Riemann tensor;

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Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry;

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Tensor Analysis

Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description;

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The Visualization of Second-Order Tensor Fields

of continuous scalar, vector, or second-order tensor fields extending across a n-dimensional space, with n less than 1. While research efforts aimed at;

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