Book 2012

A New Approach to Differential Geometry using Clifford's Geometric Algebra

Authors:

ISBN: 978-0-8176-8282-8 (Print) 978-0-8176-8283-5 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvii

  2. No Access

    Chapter

    Pages 1-2

    Introduction

  3. No Access

    Chapter

    Pages 3-25

    Clifford Algebra in Euclidean 3-Space

  4. No Access

    Chapter

    Pages 27-46

    Clifford Algebra in Minkowski 4-Space

  5. No Access

    Chapter

    Pages 47-120

    Clifford Algebra in Flat n-Space

  6. No Access

    Chapter

    Pages 121-179

    Curved Spaces

  7. No Access

    Chapter

    Pages 181-226

    The Gauss–Bonnet Formula

  8. No Access

    Chapter

    Pages 227-298

    Some Extrinsic Geometry in E n

  9. No Access

    Chapter

    Pages 299-331

    *Non-Euclidean (Hyperbolic) Geometry

  10. No Access

    Chapter

    Pages 333-345

    *Ruled Surfaces Continued

  11. No Access

    Chapter

    Pages 347-373

    *Lines of Curvature

  12. No Access

    Chapter

    Pages 375-394

    *Minimal Surfaces

  13. No Access

    Chapter

    Pages 395-430

    Some General Relativity

  14. Back Matter

    Pages 431-465