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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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Introduction to Differential Geometry

This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a;

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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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Fundamentals of Advanced Mathematics V3

on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie;

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Tensor Analysis on Manifolds

develop tensor analysis in its function-theoretical and algebraic aspects, respectively. The next two chapters take up vector analysis on;

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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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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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Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents;

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Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also;

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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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Riemannian Manifolds Of Conullity Two

This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two. These manifolds are;

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Tensor Computation for Data Analysis

computations, main tensor decompositions and their properties. Based on them, a series of tensor-based data analysis techniques are presented as the;

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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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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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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus;

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Tensor Algebra and Tensor Analysis for Engineers

This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor;

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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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Advances on Tensor Analysis and their Applications

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Calculus of Tensors and Differential Forms

tools they need in order to use for further study on general relativity and research, such as affine tensors, tensor calculus on manifolds;

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Introductory Course on Differentiable Manifolds

Based on author Siavash Shahshahani's extensive teaching experience, this volume presents a thorough, rigorous course on the theory;

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Analysis On Manifolds

A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic;

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Analysis On Manifolds

A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic;

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Differential Geometry and Tensors

of Tensors. Section A deals with: Theory of curves, envelopes and developables. Curves on surfaces and fundamental magnitudes, curvature;

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Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem

, together with a chapter on the conformal curvature tensor introduced very recently by the authors. The starting point of the considered problems;

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Elements of Tensor Calculus

on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as;

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Tensor and Vector Analysis

in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra;

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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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