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On Certain Properties of the Metrical and Generalized Metrical Groups in Linear Spaces of N Dimensions
Paperback
AlgebraGeneral MathematicsGeometry
ISBN13: 9781025875224
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 54
Weight: 0.20
Height: 0.11 Width: 6.14 Depth: 9.21
Language: English
On Certain Properties of the Metrical and Generalized Metrical Groups in Linear Spaces of N Dimensions is an advanced mathematical treatise focused on the intersection of geometry and group theory. In this rigorous study, Sergei Alexander Schelkunoff investigates the foundational properties of metrical and generalized metrical groups within linear spaces of arbitrary dimensions. The work provides a detailed exploration of the transformations and structural characteristics that define these mathematical entities.
Throughout the text, Schelkunoff employs a precise analytical framework to examine the invariants and geometric properties inherent in n-dimensional spaces. By extending classical concepts into generalized metrical contexts, the author offers significant insights into the nature of symmetry and space. This work serves as a vital contribution to the fields of linear algebra and geometric topology, representing a crucial moment in the early 20th-century development of multi-dimensional mathematical theory.
Designed for mathematicians, historians of science, and researchers in theoretical physics, On Certain Properties of the Metrical and Generalized Metrical Groups in Linear Spaces of N Dimensions highlights the complexity and beauty of high-dimensional geometric structures and their algebraic foundations.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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