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Derek Smith, John Horton Conway, "On Quaternions and Octonions"

An investigation of the geometry of quaternion and octonion algebras, this book is intended for mathematicians, physicists, and crystallographers at any level--from undergraduate to professional--who are interested in the symmetries of low-dimensional space.

The book can also be used as a text for graduate courses in many mathematical fields, including geometry, group theory, algebra, and number theory.

A Selection of Topics Covered:

The geometry of complex numbers

Quaternions and 3-dimensional groups

Quaternions and 4-dimensional groups

The Hurwitz integral quaternions

Moufang loops

Octonions and 8-dimensional geometry

Integral octonions

The octonion projective plane

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	Programming Visualizing Quaternions James Edgar Thompson “Visualizing Quaternions" Morgan Kaufmann \| 2005-12-29 \| ISBN: 0120884003 \| 600 pages \| PDF \| 5,8 Mb
	Science/Engineering Quaternions and Rotation Sequences Jack B. Kuipers “Quaternions and Rotation Sequences" Princeton University Press \| 1998-12-14 \| ISBN: 0691058725 \| 384 pages \| Djvu \| 9,1 MB Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the ninete ...
	Nonfiction The Octonions by John C. Baez The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics. Here we describe them and their relation to ...
	Nonfiction Doing Physics with Quaternions Quaternions are numbers like the real numbers: they can be added, subtracted, multiplied, and divided. Quaternions are composed of four numbers that work together as one. This book is an introduction to quaternions and a brief summary of im ...
	Mathematics Lectures on quaternions Lectures on quaternions Publisher: Cornell University Library \| ASIN: B0006P67CY \| edition 1992 \| DJVU \| 736 pages \| 1,77 mbContaining a systematic statement of a new mathematical method, of which the principles were communicated in 1843 t ...
	Science/Engineering The Octonions The Octonions Publisher: University of California \| ISBN: N\A \| edition 2001 \| PDF \| 56 pages \| 1,55 mbThe octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand a ...

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	Programming Visualizing Quaternions James Edgar Thompson “Visualizing Quaternions" Morgan Kaufmann \| 2005-12-29 \| ISBN: 0120884003 \| 600 pages \| PDF \| 5,8 Mb
	Science/Engineering Quaternions and Rotation Sequences Jack B. Kuipers “Quaternions and Rotation Sequences" Princeton University Press \| 1998-12-14 \| ISBN: 0691058725 \| 384 pages \| Djvu \| 9,1 MB Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the ninete ...
	Nonfiction The Octonions by John C. Baez The octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics. Here we describe them and their relation to ...
	Nonfiction Doing Physics with Quaternions Quaternions are numbers like the real numbers: they can be added, subtracted, multiplied, and divided. Quaternions are composed of four numbers that work together as one. This book is an introduction to quaternions and a brief summary of im ...
	Mathematics Lectures on quaternions Lectures on quaternions Publisher: Cornell University Library \| ASIN: B0006P67CY \| edition 1992 \| DJVU \| 736 pages \| 1,77 mbContaining a systematic statement of a new mathematical method, of which the principles were communicated in 1843 t ...
	Science/Engineering The Octonions The Octonions Publisher: University of California \| ISBN: N\A \| edition 2001 \| PDF \| 56 pages \| 1,55 mbThe octonions are the largest of the four normed division algebras. While somewhat neglected due to their nonassociativity, they stand a ...

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