Projective Geometry and Algebraic Structures
eBook - PDF

Projective Geometry and Algebraic Structures

  1. 232 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Projective Geometry and Algebraic Structures

Book details
Table of contents
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About This Book

Projective Geometry and Algebraic Structures focuses on the relationship of geometry and algebra, including affine and projective planes, isomorphism, and system of real numbers. The book first elaborates on euclidean, projective, and affine planes, including axioms for a projective plane, algebraic incidence bases, and self-dual axioms. The text then ponders on affine and projective planes, theorems of Desargues and Pappus, and coordination. Topics include algebraic systems and incidence bases, coordinatization theorem, finite projective planes, coordinates, deletion subgeometries, imbedding theorem, and isomorphism. The publication examines projectivities, harmonic quadruples, real projective plane, and projective spaces. Discussions focus on subspaces and dimension, intervals and complements, dual spaces, axioms for a projective space, ordered fields, completeness and the real numbers, real projective plane, and harmonic quadruples. The manuscript is a dependable reference for students and researchers interested in projective planes, system of real numbers, isomorphism, and subspaces and dimensions.

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Yes, you can access Projective Geometry and Algebraic Structures by R. J. Mihalek in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483265209
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Front Cover
  2. Projective Geometry and Algebraic Structures
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. ACKNOWLEDGMENTS
  7. CHAPTER 1. INTRODUCTION
  8. CHAPTER 2. AFFINE PLANES
  9. CHAPTER 3. PROJECTIVE PLANES
  10. CHAPTER 4. AFFINE AND PROJECTIVE PLANES
  11. CHAPTER 5. THEOREMS OF DESARGUES AND PAPPUS
  12. CHAPTER 6. COORDINATIZATION
  13. CHAPTER 7. PROJECTIVITIES
  14. CHAPTER 8. HARMONIC QUADRUPLES
  15. CHAPTER 9. THE REAL PROJECTIVE PLANE
  16. CHAPTER 10. PROJECTIVE SPACES—Part 1
  17. CHAPTER 11. PROJECTIVE SPACES—Part 2
  18. APPENDIX A: HILBERT'S AXIOMS FOR A EUCLIDEAN PLANE
  19. APPENDIX B: DIVISION RINGS
  20. APPENDIX C: QUATERNIONS
  21. REFERENCES
  22. Index of Special Symbols
  23. Subject Index