I. R. Porteous, Ian Porteous

Topological Geometry

• Broschiertes Buch

Produktbeschreibung

Provides a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place.

Produktdetails

• Verlag: Cambridge University Press
• 2. Auflage
• Seitenzahl: 500
• Erscheinungstermin: 31. Juli 2008
• Englisch
• Abmessung: 229mm x 152mm x 29mm
• Gewicht: 804g
• ISBN-13: 9780521298391
• ISBN-10: 0521298393
• Artikelnr.: 25044502

Inhaltsangabe

Foreword
Guide
1. Maps
2. Real and complex numbers
3. Linear spaces
4. Affine spaces
5. Quotient structures
6. Finite-dimensional spaces
7. Determinants
8. Direct sum
9. Orthogonal spaces
10. Quaternions
11. Correlations
12. Quadric Grassmannians
13. Clifford Algebras
14. The Cayley algebra
15. Normed linear spaces
16. Topological spaces
17. Topological groups and manifolds
18. Affine approximation
19. The inverse function theorem
20. Smooth manifolds
21. Triality
Bibliography
List of symbols
Index.