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Introduction to Differential Geometry with Tensor Applications

of tensors, curves and surfaces and their applications in Newtonian mechanics. Since tensor analysis deals with entities and properties that are;

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Tensor analysis with Applications

, unsolved problems and links to the solution of these problems. Tensor Analysis with Applications can be used on a selection of university courses;

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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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Tensor Analysis for Engineers and Physicists - With Application to Continuum Mechanics, Turbulence, and Einstein's Special and General Theory of Relativity

This book unies the common tensor analytical aspects in engineering and physics. Using tensor analysis enables the reader to understand;

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Tensor Analysis

mechanics, fluid mechanics, and electrodynamics. Contents Algebraic Tools Tensor Analysis in Symbolic Notation and in Cartesian;

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Tensor Algebra and Tensor Analysis for Engineers

mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses;

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Tensor Analysis With Applications In Mechanics

relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when;

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Tensor Analysis With Applications In Mechanics

relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when;

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Tensor Computation for Data Analysis

of tensor computation and its applications in data analysis, and benefits researchers, engineers, and students with theoretical, computational;

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Tensor Calculus With Applications

This textbook presents the foundations of tensor calculus and the elements of tensor analysis. In addition, the authors consider numerous;

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Cosserat Continuum Mechanics

manifold of points with 3 dofs of displacement. Here, the analysis is restricted to infinitesimal particle displacements and rotations. This book;

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New Developments in the Visualization and Processing of Tensor Fields

analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a;

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New Developments in the Visualization and Processing of Tensor Fields

analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a;

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Continuum Mechanics, Volume 1

necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely;

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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 Network Contractions

Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic;

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Introduction to Micromechanics

with basic knowledge in mechanics as well as calculus and elementary tensor analysis. For this circle of readers the emphasis is made on the;

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Introduction to the Variational Formulation in Mechanics

, including problems involving multiple scales. It covers: Vector and Tensor Algebra; Vector and Tensor Analysis; Mechanics of Continua; Hyperelastic;

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Elasticity

theory, and tensor analysis. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. Online;

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Vector and Tensor Analysis

An outstanding introduction to tensor analysis for physics and engineering students, this text admirably covers the expected topics in a;

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Vector and Tensor Analysis with Applications

readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering problems. It;

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Tensor Networks for Dimensionality Reduction and Large-scale Optimization

properties and applications of tensor network methodologies, and demonstrates their promise as a tool for the analysis of extreme-scale;

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Advances on Tensor Analysis and their Applications

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Mathematical Physics for Engineers

such as Dirac Delta Function, Analyticity, Orthogonality, Singularity, etc., along with 'complex functions and series analysis' are considered;

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Visualization of Fields and Applications in Engineering

in tensor field visualization and analysis. The subject covers fundamental theories through to integrated, multi-disciplinary technologies with;

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Principles of Continuum Mechanics

tensor analysis, basic kinematics, balance laws, field equations, constitutive equations, and applications. A solutions manual is available for;

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Tensor Categories

generalizations of vector spaces-objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes;

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