New foundations in mathematics : The geometric concept of number
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics,...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Boston :
Birkhäuser Boston : Imprint: Birkhäuser
[20..].
Cham : Springer Nature |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • New foundations in mathematics, the geometric concept of number, Garret Sobczyk, 2013, New York, Birkhäuser/Springer, 1 vol. (XIV-370 p.), 978-0-8176-8384-9 |
Inhoudsopgave:
- 1 Modular Number Systems 2 Complex and Hyperbolic Numbers 3 Geometric Algebra 4 Vector Spaces and Matrices 5 Outer Product and Determinants 6 Systems of Linear Equations 7 Linear Transformations on R^n 8 Structure of a Linear Operator 9 Linear and Bilinear Forms 10 Hermitian Inner Product Spaces 11 Geometry of Moving Planes 12 Representations of the Symmetric Group 13 Calculus on m-Surfaces 14 Differential Geometry of Curves 15 Differential Geometry of k-Surfaces 16 Mappings Between Surfaces 17 Non-Euclidean and Projective Geometries 18 Lie Groups and Lie Algebras References Symbols