On Quaternions and Octonions(Hardback) - 2003 Edition

by John H. Conway

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 f

Genres: Mathematics, Nonfiction, Science, Reference

Unknown Binding

First published January 1, 2003

About the author

John Horton Conway, often credited as John H. Conway, was a Professor of Mathematics at Princeton University, known for inventing the "Game of Life."

Reviews

[Alex Lee · Rating 5 out of 5]

The beginning of the book was really exciting. The end was really interesting. Unfortunately I do not have a developed mathematical reasoning to follow in the middle. This book is meant to be an introduction about how these amazing extra-dimensional figures can be manipulated and interrelate as a kind of extra-symmetry that amounts to a series of spatial arrangements and rotations. I will have to read it again in a few years.

[Michael Weaver · Rating 4 out of 5]

Conway does a great job at exploring three and four dimensional euclidean spaces - detailing finite group of symmetries and dissecting the calculations of quaternions and octonions.