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Introduction to Differential Geometry

working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an;

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Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

tensor imaging, similarity shape analysis, directional data analysis, and projective shape analysis for machine vision. The book concludes with a;

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Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

, including diffusion tensor imaging, similarity shape analysis, directional data analysis, and projective shape analysis for machine vision. The book;

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Infinite-Dimensional Manifolds

, derivatives, mean value theorem, manifolds, mappings of manifolds, scalar and vector fields, tensor products, tensor spaces, natural tensors, tensor;

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Fundamentals of Advanced Mathematics V3

, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus;

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Manifolds, Tensor Analysis, and Applications

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

multilinear algebra, general topology, and real analysis. This is followed by material on the classical theory of curves and surfaces, expanded to;

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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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Dualizable Tensor Categories

"We investigate the relationship between the algebra of tensor categories and the topology of framed 3-manifolds. On the one hand, tensor;

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Tensor Analysis on Manifolds

tool in the general theory of relativity and its adaptability to a wide range of mathematical and physical problems, tensor analysis has always;

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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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Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

affine and Euclidean spaces. Tensor analysis is explored first in Euclidean space, starting from a generalization of the concept;

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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate;

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Cornered Heegaard Floer Homology

, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer;

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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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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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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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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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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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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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Differential Geometry, Functional Analysis and Applications

, Variational analysis, Fixed point theory, Operator theory, Fourier analysis, Wavelet analysis and Approximation theory. This volume will be;

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Tensor Calculus for Engineers and Physicists

or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis;

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The Structures of Mathematical Physics

This textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable;

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The Structures of Mathematical Physics

This textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable;

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