Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces
eBook - ePub

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

  1. 418 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

About this book

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n ? N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein's special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new results that suggest further exploration in these areas.- Introduces the study of generalized gyrogroups and gyrovector spaces- Develops new algebraic structures, bi-gyrogroups and bi-gyrovector spaces- Helps readers to surmount boundaries between algebra, geometry and physics- Assists readers to parametrize and describe the full set of generalized Lorentz transformations in a geometric way- Generalizes approaches from gyrogroups and gyrovector spaces to bi-gyrogroups and bi-gyrovector spaces with geometric entanglement

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Yes, you can access Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces by Abraham Ungar in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2018
Print ISBN
9780128117736
eBook ISBN
9780128117743
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Cover
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Acknowledgments
  7. Preface
  8. About the Author
  9. Chapter 1: Introduction
  10. Chapter 2: Einstein Gyrogroups
  11. Chapter 3: Einstein Gyrovector Spaces
  12. Chapter 4: Bi-gyrogroups and Bi-gyrovector Spaces – P
  13. Chapter 5: Bi-gyrogroups and Bi-gyrovector Spaces – V
  14. Chapter 6: Applications to Time-Space of Signature (m,n)
  15. Chapter 7: Analytic Bi-hyperbolic Geometry: The Geometry of Bi-gyrovector Spaces
  16. Notation and Special Symbols
  17. References
  18. Index