LEADER 02287nam 2200445 450 001 9910583474603321 005 20180926083915.0 010 $a0-12-811774-5 010 $a0-12-811773-7 035 $a(CKB)4100000001786949 035 $a(MiAaPQ)EBC5217416 035 $a(PPN)233902708 035 $a(EXLCZ)994100000001786949 100 $a20180209h20182018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aBeyond pseudo-rotations in pseudo-euclidean spaces $ean introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /$fAbraham A. Ungar 210 1$aLondon, England :$cAcademic Press,$d2018. 210 4$dİ2018 215 $a1 online resource (420 pages) $cillustrations 225 0 $aMathematical Analysis and its Applications 320 $aIncludes bibliographical references and index. 327 $a1. 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. 330 $aBeyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n - N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein's special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new results that suggest further exploration in these areas."--$cPage 4 of cover. 606 $aSpecial relativity (Physics) 606 $aGeometry, Hyperbolic 615 0$aSpecial relativity (Physics) 615 0$aGeometry, Hyperbolic. 676 $a530.11 700 $aUngar$b Abraham A.$0850286 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910583474603321 996 $aBeyond pseudo-rotations in pseudo-euclidean spaces$92141191 997 $aUNINA