9789400732650 - hyperbolic triangle centers: the special relativistic approach (fundamental theories of physics, band 166) von ungar, a.a. (4 Ergebnisse)

Sprache: Englisch
Verlag: Springer Netherlands, 2012
- Softcover
Anbieter: moluna, Greven, Deutschlandmoluna
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Zustand: New.

Sprache: Englisch
Verlag: Springer, 2012
- Softcover
Anbieter: preigu, Osnabrück, Deutschlandpreigu
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Taschenbuch. Zustand: Neu. Hyperbolic Triangle Centers | The Special Relativistic Approach | A. A. Ungar | Taschenbuch | Fundamental Theories of Physics | xvi | Englisch | 2012 | Springer | EAN 9789400732650 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]sp…ringer[dot]com | Anbieter: preigu.

Sprache: Englisch
Verlag: Springer, Springer, 2012
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - After A. Ungar had introduced vector algebra and Cartesian coordinates into hyperbolic geometry in his earlier books, along with novel applications in Einstein's special theory of relativity, the purpose of his new book is to introduce hyperbolic bar…ycentric coordinates, another important concept to embed Euclidean geometry into hyperbolic geometry. It will be demonstrated that, in full analogy to classical mechanics where barycentric coordinates are related to the Newtonian mass, barycentric coordinates are related to the Einsteinian relativistic mass in hyperbolic geometry. Contrary to general belief, Einstein's relativistic mass hence meshes up extraordinarily well with Minkowski's four-vector formalism of special relativity.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.

Sprache: Englisch
Verlag: Springer Verlag, 2013
- Softcover
Anbieter: Revaluation Books, Exeter, Vereinigtes KönigreichRevaluation Books
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Paperback. Zustand: Brand New. 2010 edition. 335 pages. 9.20x6.10x0.76 inches. In Stock.