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Geometric Methods and Applications
The Cartan–Dieudonné Theorem
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Author(s):
Jean Gallier
Publication date
(Online):
May 24 2011
Publisher:
Springer New York
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Book Chapter
Publication date (Print):
2011
Publication date (Online):
May 24 2011
Pages
: 231-280
DOI:
10.1007/978-1-4419-9961-0_8
SO-VID:
87d9363b-e336-4627-a63f-8765bf50b95a
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Book chapters
pp. 1
Introduction
pp. 7
Basics of Affine Geometry
pp. 65
Basic Properties of Convex Sets
pp. 85
Embedding an Affine Space in a Vector Space
pp. 103
Basics of Projective Geometry
pp. 177
Basics of Euclidean Geometry
pp. 213
Separating and Supporting Hyperplanes
pp. 231
The Cartan–Dieudonné Theorem
pp. 281
The Quaternions and the Spaces S 3, SU(2), SO(3), and ℝ ℙ3
pp. 301
Dirichlet–Voronoi Diagrams and Delaunay Triangulations
pp. 321
Basics of Hermitian Geometry
pp. 343
Spectral Theorems in Euclidean and Hermitian Spaces
pp. 367
Singular Value Decomposition (SVD) and Polar Form
pp. 387
Applications of SVD and Pseudo-inverses
pp. 411
Quadratic Optimization Problems
pp. 431
Schur Complements and Applications
pp. 439
Quadratic Optimization and Contour Grouping
pp. 459
Basics of Manifolds and Classical Lie Groups: The Exponential Map, Lie Groups, and Lie Algebras
pp. 529
Basics of the Differential Geometry of Curves
pp. 585
Basics of the Differential Geometry of Surfaces
pp. 655
Appendix
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