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On Quaternions and Octonions

John Horton Conway, Derek Smith




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 | #786440 in Books |  2003-01-23 | Original language:English | PDF # 1 |  .58 x6.20 x9.30l,.80 | File type: PDF | 159 pages

||2 of 2 people found the following review helpful.| A beautiful book|By Dr Luke O'Connor Drury|A very beautiful little book with some interesting takes, especially the links to algebraic integers and groups. Some statements are quite elliptical and require a good background in mathematics to follow, but generally fascinating for those who like Conway's work.|1 of 2 people found the following review helpful.| ||"Conway and Smith’s book is a wonderful introduction to the normed division algebras … They develop these number systems from scratch, explore their connections to geometry, and even study number theory in quaternionic and octonionic versi

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....

You easily download any file type for your gadget.On Quaternions and Octonions   |  John Horton Conway, Derek Smith. Which are the reasons I like to read books. Great story by a great author.

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