Articles liés à Complex Rings, Quaternion Rings and Octonion Rings:...

Complex Rings, Quaternion Rings and Octonion Rings: Hamilton Quaternion Rings - Couverture souple

Kikumasa, Isao; Lee, Gangyong; Oshiro, Kiyoichi

 
9786200568922: Complex Rings, Quaternion Rings and Octonion Rings: Hamilton Quaternion Rings
Couverture souple
ISBN 10 : 6200568928 ISBN 13 : 9786200568922
Editeur : LAP LAMBERT Academic Publishing, 2020

Synopsis

Complex numbers describe the two dimensional geometry. William Rowan Hamilton (1805-1865) researched numbers which represent the three dimensional geometry. However this study was extremely difficult. After Hamilton had spent more than ten years desperately studying, in 1843, while walking beside the Royal Canal, he suddenly discovered the quaternion algebra over real numbers with a basis {1, i, j, k}. He stopped walking and carved equations on a stone nearby a bridge; i2 = j2 = k2 = ijk = −1With Hamilton's discovery, both Arthur Cayley (1821-1895) and John T. Graves (1806-1870) independently discovered the octonion numbers. Through Frobenius, Wedderburn and other mathematicians, quaternion numbers connected to the modern algebra of the 20th century. Today, quaternion numbers are applied to science, in particular, to the space industry and the CG industry. The objective of this book is to introduce and describe complex rings, quaternion rings and octonion rings. Several structure theorems are stated from ring theoretic view points. In presenting of this book, we hope the reader will be able to feel the atmosphere of quaternion numbers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2020
Langue
anglais
ISBN 10 
6200568928
ISBN 13 
9786200568922
Reliure
Broché
Nombre de pages
76
Coordonnées du fabricant
non disponible
Personne responsable
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