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Beyond pseudo-rotations in pseudo-Eu...

Ungar, Abraham A.,

Beyond pseudo-rotations in pseudo-Euclidean spaces :an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Beyond pseudo-rotations in pseudo-Euclidean spaces :Abraham A. Ungar.
Reminder of title:	an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /
remainder title:	Introduction to the theory of bi-gyrogroups and bi-gyrovector spaces
Author:	Ungar, Abraham A.,
Published:	London, United Kingdom :Academic Press, an imprint of Elsevier,c2018.
Description:	xvii, 399 p. :ill. ;24 cm.
Notes:	"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.
Subject:	Lorentz transformations.
ISBN:	9780128117736 (pbk.) :

Beyond pseudo-rotations in pseudo-Euclidean spaces :an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /
Ungar, Abraham A.,

Beyond pseudo-rotations in pseudo-Euclidean spaces :an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /Introduction to the theory of bi-gyrogroups and bi-gyrovector spacesAbraham A. Ungar. - London, United Kingdom :Academic Press, an imprint of Elsevier,c2018. - xvii, 399 p. :ill. ;24 cm. - Mathematical analysis and its applications. - Mathematical analysis and its applications..

"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.

Includes bibliographical references (p. 389-392) 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."--

ISBN: 9780128117736 (pbk.) :$180

LCCN: 2017942844Subjects--Topical Terms:

278253
Lorentz transformations.

LC Class. No.: QC174.52.L6 / U57 2018

Dewey Class. No.: 530.14/3

Beyond pseudo-rotations in pseudo-Euclidean spaces :an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /
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245 1 0 $a Beyond pseudo-rotations in pseudo-Euclidean spaces : $b an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces / $c Abraham A. Ungar.
246 3 0 $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 c2018.
300 $a xvii, 399 p. : $b ill. ; $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 (p. 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.
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.
650 0 $a Lorentz transformations. $3 278253
650 0 $a Special relativity (Physics) $3 208114
830 0 $a Mathematical analysis and its applications. $3 829206