Buch, Englisch, Band 166, 319 Seiten, Format (B × H): 167 mm x 242 mm, Gewicht: 1430 g
The Special Relativistic Approach
Buch, Englisch, Band 166, 319 Seiten, Format (B × H): 167 mm x 242 mm, Gewicht: 1430 g
Reihe: Fundamental Theories of Physics
ISBN: 978-90-481-8636-5
Verlag: Springer
In Euclidean geometry, barycentric coordinates can be used to determine various triangle centers. While there are many known Euclidean triangle centers, only few hyperbolic triangle centers are known, and none of the known hyperbolic triangle centers has been determined analytically with respect to its hyperbolic triangle vertices. In his recent research, the author set the ground for investigating hyperbolic triangle centers via hyperbolic barycentric coordinates, and one of the purposes of this book is to initiate a study of hyperbolic triangle centers in full analogy with the rich study of Euclidean triangle centers.
Owing to its novelty, the book is aimed at a large audience: it can be enjoyed equally by upper-level undergraduates, graduate students, researchers and academics in geometry, abstract algebra, theoretical physics and astronomy. For a fruitful reading of this book, familiarity with Euclidean geometry is assumed. Mathematical-physicists and theoretical physicists are likely to enjoy the study of Einstein’s special relativity in terms of its underlying hyperbolic geometry. Geometers may enjoy the hunt for new hyperbolic triangle centers and, finally, astronomers may use hyperbolic barycentric coordinates in the velocityspace of cosmology.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
- Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie
- Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
Weitere Infos & Material
The Special Relativistic Approach To Hyperbolic Geometry.- Einstein Gyrogroups.- Einstein Gyrovector Spaces.- When Einstein Meets Minkowski.- Mathematical Tools For Hyperbolic Geometry.- Euclidean and Hyperbolic Barycentric Coordinates.- Gyrovectors.- Gyrotrigonometry.- Hyperbolic Triangle Centers.- Gyrotriangle Gyrocenters.- Gyrotriangle Exgyrocircles.- Gyrotriangle Gyrocevians.- Epilogue.