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On Quaternions and Octonions Hardcover – 23 Jan 2003

3.7 out of 5 stars 9 customer reviews
ISBN-13: 978-1568811345 ISBN-10: 1568811349 Edition: 1st

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"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 versions of the integers. … a lucid and elegant introduction. … remarkably self-contained. It assumes no knowledge of number theory, string theory, Lie theory, or lower-case Gothic letters."
―John C. Baez, Bulletin of the American Mathematical Society, January 2005

"A resonant spike above background noise in one parameter as another parameter is varied is a frequent indicator…"
―Geoffrey Dixon, Mathematical Intelligencer, May 2004

"Those readers who are fascinated by the links between geometry and groups will find that this book gives them new insights."
―Hugh Williams, The Mathematical Gazette, July 2004

"This is a beautiful and fascinating book on the geometry and arithmetic of the quaternion algebra and the octonion algebra. … most intriguing to read: it is an excellent exposition of very attractive topics, and it contains several new and significant results."
―Theo Grundhöfer, Mathematical Reviews, 2003

About the Author

John H. Conway, Derek A. Smith

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Amazon.com: 3.7 out of 5 stars 9 reviews
4.0 out of 5 starsVery mathematically "dense" book.
9 January 2019 - Published on Amazon.com
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Dr Luke O'Connor Drury
4.0 out of 5 starsA beautiful book
12 May 2014 - Published on Amazon.com
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2 people found this helpful
Ken Macrae
5.0 out of 5 starsFor afficionados
29 December 2013 - Published on Amazon.com
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One person found this helpful
Erich H. Cerny
5.0 out of 5 starsquaternions and octonions revisited
20 October 2013 - Published on Amazon.com
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One person found this helpful
roland booker
4.0 out of 5 starsDiserved praise
12 September 2014 - Published on Amazon.com
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