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OverviewBeyond 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. Full Product DetailsAuthor: Abraham Ungar (Professor of Mathematics at North Dakota State University) , Abraham Ungar (Professor of Mathematics at North Dakota State University) , Abraham Ungar (Professor of Mathematics at North Dakota State University) , Abraham Ungar (Professor of Mathematics at North Dakota State University)Publisher: Elsevier Science Publishing Co Inc Imprint: Academic Press Inc Weight: 0.450kg ISBN: 9780128117736ISBN 10: 0128117737 Pages: 418 Publication Date: 04 January 2018 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contents1. Lorentz Transformations of signature (m,n) 2. Einstein Bi-gyrogroups of Order (m,n) 3. Einstein Bi-gyrovector Spaces of Order (m,n)ReviewsThis monograph is a synthesis of the author's work on gyrogroups and gyrovector spaces (since 1988) as well as on their generalizations, the bi-gyrogroups and bi-gyrovector spaces. ...This very original but highly technical book starts with an interesting modelization of the Einstein addition of the velocities in the relativistic setting, by considering it as the (nonassociative) composition law of a special groupoid, called gyrogroup. --zbMATh Author InformationAbraham Ungar (North Dakota State University, ND) is Professor of Mathematics at North Dakota State University. He specializes in the areas of linear algebra, geometry and physics. He has published seven books and over 100 papers, mostly in indexed journals. Tab Content 6Author Website:Countries AvailableAll regions |