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Record Nr. |
UNINA9910583474603321 |
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Autore |
Ungar Abraham A. |
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Titolo |
Beyond pseudo-rotations in pseudo-euclidean spaces : an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / / Abraham A. Ungar |
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Pubbl/distr/stampa |
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London, England : , : Academic Press, , 2018 |
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©2018 |
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ISBN |
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0-12-811774-5 |
0-12-811773-7 |
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Descrizione fisica |
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1 online resource (420 pages) : illustrations |
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Collana |
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Mathematical Analysis and its Applications |
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Disciplina |
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Soggetti |
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Special relativity (Physics) |
Geometry, Hyperbolic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1. Introduction -- 2. Einstein gyrogroups -- 3. Einstein gyrovector spaces -- 4. Bi-gyrogroups and bi-gyrovector spaces - P -- 5. . Bi-gyrogroups and bi-gyrovector spaces - V -- 6. Applications to time-space of signature (m,n) -- 7. Analytic bi-hyperbolic geometry : the geometry of bi-gyrovector spaces. |
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Sommario/riassunto |
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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."-- |
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