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Advanced Linear Algebra

Overview of attention for book
Cover of 'Advanced Linear Algebra'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 Vector Spaces
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    Chapter 3 Linear Transformations
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    Chapter 4 The Isomorphism Theorems
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    Chapter 5 Modules I: Basic Properties
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    Chapter 6 Modules II: Free and Noetherian Modules
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    Chapter 7 Modules over a Principal Ideal Domain
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    Chapter 8 The Structure of a Linear Operator
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    Chapter 9 Eigenvalues and Eigenvectors
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    Chapter 10 Real and Complex Inner Product Spaces
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    Chapter 11 Structure Theory for Normal Operators
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    Chapter 12 Metric Vector Spaces: The Theory of Bilinear Forms
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    Chapter 13 Metric Spaces
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    Chapter 14 Hilbert Spaces
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    Chapter 15 Tensor Products
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    Chapter 16 Positive Solutions to Linear Systems: Convexity and Separation
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    Chapter 17 Affine Geometry
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    Chapter 18 Operator Factorizations: QR and Singular Value
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    Chapter 19 The Umbral Calculus
Attention for Chapter 5: Modules I: Basic Properties
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