Linear Algebra Through Geometry
In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject. Our experience in teaching beginning undergraduates over the years has convinced us that students learn the new ideas of linear algebra best when these ideas ar...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1983, 1983
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| Edition: | 1st ed. 1983 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Acknowledgments
- 1.0 Vectors in the Line
- 2.0 The Geometry of Vectors in the Plane
- 2.1 Transformations of the Plane
- 2.2 Linear Transformations and Matrices
- 2.3 Sums and Products of Linear Transformations
- 2.4 Inverses and Systems of Equations
- 2.5 Determinants
- 2.6 Eigenvalues
- 2.7 Classification of Conic Sections
- 2.8 Differential Systems
- 3.0 Vector Geometry in 3-Space
- 3.1 Transformations of 3-Space
- 3.2 Linear Transformations and Matrices
- 3.3 Sums and Products of Linear Transformations
- 3.4 Inverses and Systems of Equations
- 3.5 Determinants
- 3.6 Eigenvalues
- 3.7 Symmetric Matrices
- 3.8 Classification of Quadric Surfaces
- 4.0 Vector Geometry in 4-Space
- 4.1 Transformations of 4-Space
- 4.2 Linear Transformations and Matrices
- 5.1 Homogeneous Systems of Equations
- 5.2 Subspace, Linear Dependence, Dimension
- 5.3 Inhomogeneous Systems of Equations
- Afterword