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New Foundations in Mathematics

Overview of attention for book
Cover of 'New Foundations in Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Modular Number Systems
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    Chapter 2 Complex and Hyperbolic Numbers
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    Chapter 3 Geometric Algebra
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    Chapter 4 Vector Spaces and Matrices
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    Chapter 5 Outer Product and Determinants
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    Chapter 6 Systems of Linear Equations
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    Chapter 7 Linear Transformations on $${\mathbb{R}}^{n}$$
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    Chapter 8 Structure of a Linear Operator
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    Chapter 9 Linear and Bilinear Forms
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    Chapter 10 Hermitian Inner Product Spaces
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    Chapter 11 Geometry of Moving Planes
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    Chapter 12 Representation of the Symmetric Group
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    Chapter 13 Calculus on m -Surfaces
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    Chapter 14 Differential Geometry of Curves
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    Chapter 15 Differential Geometry of k -Surfaces
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    Chapter 16 Mappings Between Surfaces
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    Chapter 17 Non-euclidean and Projective Geometries
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    Chapter 18 Lie Groups and Lie Algebras
Attention for Chapter 7: Linear Transformations on $${\mathbb{R}}^{n}$$
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