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Tensor Spaces and Numerical Tensor Calculus

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Cover of 'Tensor Spaces and Numerical Tensor Calculus'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Matrix Tools
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    Chapter 3 Algebraic Foundations of Tensor Spaces
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    Chapter 4 Banach Tensor Spaces
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    Chapter 5 General Techniques
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    Chapter 6 Minimal Subspaces
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    Chapter 7 r-Term Representation
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    Chapter 8 Tensor Subspace Representation
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    Chapter 9 r-Term Approximation
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    Chapter 10 Tensor Subspace Approximation
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    Chapter 11 Hierarchical Tensor Representation
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    Chapter 12 Matrix Product Systems
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    Chapter 13 Tensor Operations
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    Chapter 14 Tensorisation
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    Chapter 15 Multivariate Cross Approximation
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    Chapter 16 Applications to Elliptic Partial Differential Equations
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    Chapter 17 Miscellaneous Topics
Attention for Chapter 7: r-Term Representation
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