Author | Gallier, Jean. author |
---|---|
Title | Geometric Methods and Applications [electronic resource] : For Computer Science and Engineering / by Jean Gallier |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-0137-0 |
Descript | XXI, 566 p. online resource |
Preface -- Introduction -- Basics of Affine Geometry -- Properties of Convex Sets, A Glimpse -- Embedding an Affine Space in a Vector Space -- Basics of Projective Geometry -- Basics of Euclidean Geometry -- The Cartan-Dieudonnรฉ Theorem -- Quaternions and Rotations -- Dirichlet-Voronoi Diagrams -- Basics of Hermitian Geometry -- Spectral Theorems -- Singular Value Decomposition (SVD) and Polar Form -- Applications of Euclidean Geometry -- Basics of Classical Lie Groups -- Basics of the Differential Geometry of Curves -- Basics of the Differential Geometry of Surfaces -- Appendix -- Bibliography -- Index