E-Book, Englisch, 277 Seiten
Benz Classical Geometries in Modern Contexts
2. Auflage 2007
ISBN: 978-3-7643-8541-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Geometry of Real Inner Product Spaces
E-Book, Englisch, 277 Seiten
ISBN: 978-3-7643-8541-5
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. Designed as a two term graduate course, the book helps students to understand great ideas of classical geometries in a modern and general context. A real benefit is the dimension-free approach to important geometrical theories. The only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry.
Autoren/Hrsg.
Weitere Infos & Material
1;Contents;5
2;Preface;8
3;Preface to the Second Edition;12
4;Translation Groups;13
5;Euclidean and Hyperbolic Geometry;49
6;Sphere Geometries of Möbius and Lie;105
7;Lorentz Transformations;187
8;Projective Mappings, Isomorphism Theorems;242
9;Notation and symbols;275
10;Bibliography;277
11;Index;282




