Overview
- Continuation of A. Ungar successful work on hyperbolic geometry, now with introduction of hyperbolic barycentric coordinates
- Proves how, contrary to general belief, Einstein’s relativistic mass meshes up well with Minkowski’s four-vector formalism of special relativity
- Sets the ground for investigating hyperbolic triangle centers analytically with respect to its hyperbolic triangle vertices
- Includes supplementary material: sn.pub/extras
Part of the book series: Fundamental Theories of Physics (FTPH, volume 166)
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Keywords
- Application special relativity
- Barycentric coordinates
- Examining hyperbolic triangle center
- Four-vector
- Hyperbolic barycentric coordinates
- Hyperbolic coordinates
- Hyperbolic geometry
- Hyperbolic triangle centers
- Hyperbolic triangle ve
- Hyperbolic triangle vertex
- RMS
- Relativity
- Special relativity
- Theoretical physics
- special theory of relativity
Table of contents (10 chapters)
-
The Special Relativistic Approach To Hyperbolic Geometry
-
Mathematical Tools For Hyperbolic Geometry
-
Hyperbolic Triangle Centers
Authors and Affiliations
Bibliographic Information
Book Title: Hyperbolic Triangle Centers
Book Subtitle: The Special Relativistic Approach
Authors: A.A. Ungar
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-90-481-8637-2
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2010
Hardcover ISBN: 978-90-481-8636-5Published: 12 July 2010
Softcover ISBN: 978-94-007-3265-0Published: 05 September 2012
eBook ISBN: 978-90-481-8637-2Published: 18 June 2010
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: XVI, 319
Topics: Classical and Quantum Gravitation, Relativity Theory, Theoretical, Mathematical and Computational Physics, Geometry, Applications of Mathematics, Astronomy, Astrophysics and Cosmology