2013

New Foundations in Mathematics

The Geometric Concept of Number

Authors:

ISBN: 978-0-8176-8384-9 (Print) 978-0-8176-8385-6 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Book Chapter

    Pages 1-21

    Modular Number Systems

  3. No Access

    Book Chapter

    Pages 23-42

    Complex and Hyperbolic Numbers

  4. No Access

    Book Chapter

    Pages 43-66

    Geometric Algebra

  5. No Access

    Book Chapter

    Pages 67-83

    Vector Spaces and Matrices

  6. No Access

    Book Chapter

    Pages 85-93

    Outer Product and Determinants

  7. No Access

    Book Chapter

    Pages 95-105

    Systems of Linear Equations

  8. No Access

    Book Chapter

    Pages 107-116

    Linear Transformations on \({\mathbb{R}}^{n}\)

  9. No Access

    Book Chapter

    Pages 117-136

    Structure of a Linear Operator

  10. No Access

    Book Chapter

    Pages 137-151

    Linear and Bilinear Forms

  11. No Access

    Book Chapter

    Pages 153-179

    Hermitian Inner Product Spaces

  12. No Access

    Book Chapter

    Pages 181-199

    Geometry of Moving Planes

  13. No Access

    Book Chapter

    Pages 201-222

    Representation of the Symmetric Group

  14. No Access

    Book Chapter

    Pages 223-241

    Calculus on m-Surfaces

  15. No Access

    Book Chapter

    Pages 243-251

    Differential Geometry of Curves

  16. No Access

    Book Chapter

    Pages 253-274

    Differential Geometry of k-Surfaces

  17. No Access

    Book Chapter

    Pages 275-295

    Mappings Between Surfaces

  18. No Access

    Book Chapter

    Pages 297-327

    Non-euclidean and Projective Geometries

  19. No Access

    Book Chapter

    Pages 329-351

    Lie Groups and Lie Algebras

  20. Back Matter

    Pages 353-370