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050 00 a| QC174.52.L6b| U54 2018;

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100 1 a| Ungar, Abraham A.?| UNAUTHORIZED;

245 10 a| Beyond pseudo-rotations in pseudo-Euclidean spacesh| [electronic resource] :b| an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /c| Abraham A. Ungar, North Dakota State University, Department of Mathematics, Fargo, North Dakota, USA.;

246 30 a| Introduction to the theory of bi-gyrogroups and bi-gyrovector spaces;

260 a| London, United Kingdom :b| Academic Press, an imprint of Elsevier,c| [2018];

300 a| xvii, 399 pages :b| illustrations ;c| 24 cm;

490 1 a| Mathematical analysis and its applications;

500 a| "Abraham Ungar is Professor of Mathematics at North Dakota State University in North Dakota. He specializes in the areas of linear algebra, geometry and physics. He has published seven books and over 100 papers, mostly in indexed journals."--Page 4 of cover.;

504 a| Includes bibliographical references (pages 389-392) and index.;

505 0 a| 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.;

506 a| Available only to authorized users.;

520 a| 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."--c| Page 4 of cover.;

538 a| Mode of access: World Wide Web;

650 0 a| Lorentz transformations.=| ^A46499;

650 0 a| Special relativity (Physics)=| ^A181387;

650 7 a| Lorentz transformations.2| fast0| (OCoLC)fst01002593;

650 7 a| Special relativity (Physics)2| fast0| (OCoLC)fst01128981;

655 0 a| Electronic books.=| ^A491897;

830 0 a| Mathematical analysis and its applications.?| UNAUTHORIZED;

856 40 z| Full text available from eBook - Mathematics 2018 [EBCM18]u| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Fwww.sciencedirect.com%2Fscience%2Fbook%2F9780128117736;

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Beyond pseudo-rotations in pseudo-Euclidean spaces an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / Abraham A. Ungar, North Dakota State University, Department of Mathematics, Fargo, North Dakota, USA.

Author/creator	Ungar, Abraham A.
Format	Electronic
Publication Info	London, United Kingdom : Academic Press, an imprint of Elsevier, [2018]
Description	xvii, 399 pages : illustrations ; 24 cm
Supplemental Content	Full text available from eBook - Mathematics 2018 [EBCM18]
Subjects	Lorentz transformations. Special relativity (Physics)

Portion of title	Introduction to the theory of bi-gyrogroups and bi-gyrovector spaces
Series	Mathematical analysis and its applications Mathematical analysis and its applications. UNAUTHORIZED
Contents	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.
Abstract	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.
General note	"Abraham Ungar is Professor of Mathematics at North Dakota State University in North Dakota. He specializes in the areas of linear algebra, geometry and physics. He has published seven books and over 100 papers, mostly in indexed journals."--Page 4 of cover.
Bibliography note	Includes bibliographical references (pages 389-392) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2017942844
ISBN	9780128117736
ISBN	0128117737

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Beyond pseudo-rotations in pseudo-Euclidean spaces an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / Abraham A. Ungar, North Dakota State University, Department of Mathematics, Fargo, North Dakota, USA.

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