Topological Geometry

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

Product details

• Authors: I. R. Porteous, Ian Porteous, Ian R. Porteous, Porteous Ian R.
• Publisher: External catalogues UK
• Languages: English
• Product format: Paperback / Softback
• Released: 16.09.2008
• EAN: 9780521298391
• ISBN: 978-0-521-29839-1
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / General, geometry