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