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On Quaternions and Octonions

By Conway, John H.

Product Image: On Quaternions and Octonions

On Quaternions and Octonions

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Description
This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special properties of 3- and 4-dimensional Euclidean spaces using quaternions, leading to enumerations of the corresponding finite groups of symmetries. The second half of the book discusses the less familiar octonion algebra, concentrating on its remarkable "triality symmetry" after an appropriate study of Moufang loops. The authors also describe the arithmetics of the quaternions and octonions. The book concludes with a new theory of octonion factorization.
Product details
Edition:
1
Number of Pages:
172
Release Date:
2003-01-23
Publication Date:
2003-01-23
Publisher:
A K Peters/CRC Press
Languages:
Original: English
ISBN10:
1568811349
ISBN13:
9781568811345
GPSR Manufacturer Reference:
[email protected]
Minimum Reading Age:
18
Maximum Reading Age:
150
Weight:
429 g
Height:
161 cm
Width:
240 cm
Thickness:
14 cm
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