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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.
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Complex Rings, Quaternion Rings and Octonion Rings
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LAP LAMBERT Academic Publishing Feb 2020, 2020
ISBN 10: 6200568928
ISBN 13: 9786200568922
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 76 pp. Englisch. Seller Inventory # 9786200568922
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Complex Rings, Quaternion Rings and Octonion Rings : Hamilton Quaternion Rings
Published by
LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6200568928
ISBN 13: 9786200568922
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Taschenbuch
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9786200568922
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Complex Rings, Quaternion Rings and Octonion Rings
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LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6200568928
ISBN 13: 9786200568922
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Complex Rings, Quaternion Rings and Octonion Rings
Published by
LAP LAMBERT Academic Publishing Feb 2020, 2020
ISBN 10: 6200568928
ISBN 13: 9786200568922
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 76 pp. Englisch. Seller Inventory # 9786200568922
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