This book is designed for those who are interested in mathematics and relativistic physics.
In mathematics, group theory is often overemphasized where the associate law reigns supreme. However, there are many interesting algebraic structures that lack the associative property, but still contain the symmetry desired by mathematicians. These structures are the focus of quasigroups and loops. Quasigroups have been studied for centuries under the guise of Latin Squares.
Recently, quasigroups and loops are starting to gain more attention than the past. They have been found useful in the study of combinatorics, geometry, and, with the advent of gyrogroups, special theory of relativity. Yet, those who are interested in quasigroups and loops will be hard press to find many books on the subject.
Gyrogroups, also known as k-loops by some authors, is one of the few exceptions. Dr. Ungar has done an outstanding job in producing textbooks explaining the basics of gryogroups and how they may be applied to relativistic physics and hyperbolic geometry. His approach is different from those who usually work in loop theory. His approach and notations take advantage of the fact that Einstein's relativistic vector addition forms a gyrogroup. A weak-associative law is obtained by means of Thomas precession which is rarely studied in special theory of relativity.
For those mathematicians and physicists who are interested in exploring an algebraic structure better suited for relativistic physics than groups, rings and fields will find Dr. Ungar's books most appealing.
- 语种： 英语
- ISBN: 1402003536
- 条形码: 9781402003530
- 商品尺寸: 15.5 x 2.7 x 23.5 cm
- 商品重量: 1.43 Kg
- ASIN: 1402003536
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