02287nam 2200445 450 991058347460332120180926083915.00-12-811774-50-12-811773-7(CKB)4100000001786949(MiAaPQ)EBC5217416(PPN)233902708(EXLCZ)99410000000178694920180209h20182018 uy 0engurcnu||||||||rdacontentrdamediardacarrierBeyond pseudo-rotations in pseudo-euclidean spaces an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /Abraham A. UngarLondon, England :Academic Press,2018.©20181 online resource (420 pages) illustrationsMathematical Analysis and its ApplicationsIncludes bibliographical references and index.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.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."--Page 4 of cover.Special relativity (Physics)Geometry, HyperbolicSpecial relativity (Physics)Geometry, Hyperbolic.530.11Ungar Abraham A.850286MiAaPQMiAaPQMiAaPQBOOK9910583474603321Beyond pseudo-rotations in pseudo-euclidean spaces2141191UNINA