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Linear Algebra Through Geometry

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Cover of 'Linear Algebra Through Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Vectors in the Line
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    Chapter 2 The Geometry of Vectors in the Plane
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    Chapter 3 Transformations of the Plane
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    Chapter 4 Linear Transformations and Matrices
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    Chapter 5 Products of Linear Transformations
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    Chapter 6 Inverses and Systems of Equations
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    Chapter 7 Determinants
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    Chapter 8 Eigenvalues
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    Chapter 9 Classification of Conic Sections
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    Chapter 10 Vector Geometry in 3-Space
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    Chapter 11 Transformations of 3-Space
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    Chapter 12 Linear Transformations and Matrices
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    Chapter 13 Sums and Products of Linear Transformations
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    Chapter 14 Inverses and Systems of Equations
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    Chapter 15 Determinants
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    Chapter 16 Eigenvalues
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    Chapter 17 Symmetric Matrices
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    Chapter 18 Classification of Quadric Surfaces
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    Chapter 19 Vector Geometry in n -Space, n ≥ 4
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    Chapter 20 Transformations of n -Space, n ≥ 4
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    Chapter 21 Linear Transformations and Matrices
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    Chapter 22 Homogeneous Systems of Equations in n -Space
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    Chapter 23 Inhomogeneous Systems of Equations in n -Space
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    Chapter 24 Vector Spaces
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    Chapter 25 Bases and Dimension
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    Chapter 26 Existence and Uniqueness of Solutions
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    Chapter 27 The Matrix Relative to a Given Basis
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    Chapter 28 Vector Spaces with an Inner Product
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    Chapter 29 Orthonormal Bases
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    Chapter 30 Orthogonal Decomposition of a Vector Space
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    Chapter 31 Symmetric Matrices in n Dimensions
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    Chapter 32 Quadratic Forms in n Variables
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    Chapter 33 Differential Systems
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    Chapter 34 Least Squares Approximation
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    Chapter 35 Curvature of Function Graphs
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Title
Linear Algebra Through Geometry
Published by
Springer US, January 1992
DOI 10.1007/978-1-4612-4390-8
ISBNs
978-1-4612-8752-0, 978-1-4612-4390-8
Authors

Thomas Banchoff, John Wermer, Banchoff, Thomas, Wermer, John

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