Linear Algebra: a Geometric Approach
β Scribed by Montaldi, J.; Sernesi, E
- Publisher
- Routledge;CRC
- Year
- 2018
- Tongue
- English
- Leaves
- 380
- Series
- Chapman Hall/CRC Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content: Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
Notes for the reader
I: Affine Geometry
1: Vectors and vector spaces
2: Matrices
3: Systems of linear equations
4: Some linear algebra
5: Rank
6: Determinants
7: Affine space (I)
8: Affine space (II)
9: Geometry in affine planes
10: Geometry in 3-dimensional affine space
11: Linear maps
12: Linear maps and matrices
affine changes of coordinates
13: Linear operators
14: Transformation groups
II: Euclidean Geometry
15: Bilinear and quadratic forms
16: Diagonalizing quadratic forms
17: Scalar product 18: Vector product19: Euclidean spaces
20: Unitary operators and isometries
21: Isometries of planes and three-dimensional space
22: Diagonalizing symmetric operators
23: The complex case
Appendices
A: Domains, rings and fields
B: Permutations
Selected solutions
Bibliography
Index of notation
Index
π SIMILAR VOLUMES
This clear, concise and highly readable text is designed for a first course in linear algebra and is intended for undergraduate courses in mathematics. It focusses throughout on geometric explanations to make the student perceive that linear algebra is nothing but analytic geometry of n dimensions.
<p><p>Differential geometry is the study of the curvature and calculus of curves and surfaces. <i>A New Approach to Differential Geometry using Clifford's Geometric Algebra</i> simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentatio
<p><p>Differential geometry is the study of the curvature and calculus of curves and surfaces. <i>A New Approach to Differential Geometry using Clifford's Geometric Algebra</i> simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentatio