On a Category of Transformation Groups in Three and Four Dimensions
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.30
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores the development and capabilities of a particular category of transformation groups in three and four dimensions. The author was guided by the respected mathematician Sophus Lie. It begins with Riemann's foundational work on the geometry of multiple dimensions, which is further developed by Helmholtz. The author focuses on a theorem proposed by Lie, which attempts to identify transformation groups that preserve the geometric properties of a rigid body in space, while considering various interpretations of Helmholtz's axiom of unrestricted motion. The text thoroughly examines the eight groups that satisfy the given conditions, discussing their one-parametric subgroups and the behavior of points under specific constraints. A notable finding is that some groups exhibit closed path-curves under certain conditions, while others do not. Overall, this book provides a detailed analysis of transformation groups in multiple dimensions, expanding on Lie's work and contributing to the understanding of geometric transformations in higher dimensions. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332040353_0
- Title
- On a Category of Transformation Groups in Three and Four Dimensions
- Author
- John van Etten Westfall
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332040357
- ISBN 13
- 9781332040353
- Seller catalogs
- Calculus
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Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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