9789048186365 - hyperbolic triangle centers: the special relativistic approach (fundamental theories of physics, 166, band 166) von ungar, a.a. (6 Ergebnisse)

Sprache: Englisch
Verlag: Springer, 2010
- Hardcover
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschlandbuchversandmimpf2000
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hardcover. Zustand: Sehr gut. Gebraucht - Sehr gut - ungelesen,als Mängelexemplar gekennzeichnet, mit leichten Mängeln an Schnitt oder Einband durch Lager- oder Transportschaden -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 barycentric 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 velocity space of cosmology.Libri GmbH, Europaallee 1, 36244 Bad Hersfeld 335 pp. Englisch.

Sprache: Englisch
Verlag: Springer, 2010
- Hardcover
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes KönigreichRia Christie Collections
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EUR 116,61
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Zustand: New. In.

Sprache: Englisch
Verlag: Springer Netherlands, 2010
- Hardcover
Anbieter: moluna, Greven, Deutschlandmoluna
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Zustand: New.

Sprache: Englisch
Verlag: Springer Verlag, 2010
- Hardcover
Anbieter: Revaluation Books, Exeter, Vereinigtes KönigreichRevaluation Books
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EUR 154,84
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Hardcover. Zustand: Brand New. 1st edition. 319 pages. 9.25x6.25x1.00 inches. In Stock.

Sprache: Englisch
Verlag: Springer Nature B.V., 2010
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Buch. 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 barycentri…c 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.

Verlag: Bentley Publishers, E-260, 2002
- Hardcover
Anbieter: Last Exit Books, Charlottesville, VA, USALast Exit Books
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Hardcover. Zustand: Very Good. Hardcover. 4to. Published by Bentley Publishers, Cambridge, MA. 1995. Xii, 417 pgs. Illustrated. DJ has light shelf-wear present to the DJ extremities. Bound in cloth boards with titles present to the spine and front board. Boards have light shelf-wear present to the extremities. No ownership marks… present. Text is clean and free of marks. Binding tight and solid. Zora Arkus-Duntov: The Legend Behind Corvette tells the story of how a gifted engineer brought up by Russian Revolutionary parents became the guiding force behind the legendary American sports car, and in the process attained the elite status of American legend himself. Author Jerry Burton, founding editor and current editorial director of Corvette Quarterly, has worked with many of Zora's friends and colleagues, as well as his widow Elfi, to write the first major biography of Zora Arkus-Duntov. Burton has illustrated his book with hundreds of unpublished photos, blueprints, and archival documents. This book puts Duntov in the perspective needed to understand his achievements as a Russian-Jewish immigrant fighting to make his mark at General Motors. EB; 8.4375 X 1.125 X 9.3125 inches; 428 pages.