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On Quaternions and Octonions:

Their Geometry, Arithmetic, and Symmetry
Front Cover
2 Reviews
Peters, 2003 - Mathematics - 159 pages
This book investigates the geometry of the quaternion and octonion algebras. Following a comprehensive historical introduction, the special properties of 3- and 4-dimensional Euclidean spaces are illuminated 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 arithmetics of the quaternions and octonions are also described, and the book concludes with a new theory of octonion factorization. Topics covered include: - history - the geometry of complex numbers - quaternions and 3-dimensional groups - quaternions and 4-dimensional groups - the Hurwitz integral quaternions - the composition algebras - Moufang loops - octonions and 8-dimensional geometry - integral octonions - the octonion projective plane

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Review: On Quaternions and Octonions

User Review  - Michael Weaver - Goodreads

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. Read full review

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References from web pages

On Quaternions and Octonions, by John Conway and Derek Smith
On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry by John H. Conway and Derek A. Smith. review by John C. Baez ...
math.ucr.edu/ home/ baez/ octonions/ conway_smith/

(iucr) On quaternions and octonions: their geometry, arithmetic ...
On quaternions and octonions: their geometry, arithmetic and symmetry . By John H. Conway and Derek A. Smith. Natick, MA: ak Peters Ltd, 2003. ...
scripts.iucr.org/ cgi-bin/ paper?ht5040

On quaternions and octonions: Their geometry, arithmetic, and ...
On quaternions and octonions: Their geometry, arithmetic, and symmetry, by. John H. Conway and Derek A. Smith, ak Peters, Ltd., Natick, MA, 2003, ...
www.ams.org/ bull/ 2005-42-02/ S0273-0979-05-01043-8/ S0273-0979-05-01043-8.pdf

On Quaternions and Octonions
This page is a supplement to our book and contains both the current errata and an expanded bibliography (still under construction). ...
ww2.lafayette.edu/ ~smithder/ qando.htm

triality and its uses. Text - Physics Forums Library
[Archive] triality and its uses. Beyond the Standard Model
www.physicsforums.com/ archive/ index.php/ t-175959.html

| Book Re vie ws On Quaternions and Octonions + + + + = + + +
252. NAW 5/6 nr. 3 september 2005. Boekbesprekingen. Boekbespr. ekingen. |. Book. Re. vie. w. s. Alle in de vijfde serie van het NAW verschenen ...
www.nieuwarchief.nl/ serie5/ deel06/ sep2005/ pdf/ reviews-sep.pdf

Submarino.com.br Importados: On Quaternions and Octonions - Conway ...
On Quaternions and Octonions : Their Geometry, Arithmetic, and Symmetry Cód. do Produto: 533458 Conway, John Horton/ Smith, Derek Conway, John/ Smith, ...
lojaabril.com.br/ imports_productdetails.asp?Query=& ProdTypeId=9& CatId=31569& PrevCatId=31537& ProdId=533458& ST=BL31569...

Detalle del Libro: On Quaternions and Octonions
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ON QUATERNIONS AND OCTONIONS: THE GEOMETRY, ARITHMETIC AND SIMMET ...
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arxiv:0803.0119v1 [math.GM] 2 Mar 2008
Glimpses of the Octonions and Quaternions. History and Today’s Applications in Quantum. Physics (*). A.Krzysztof Kwasniewski. the Dissident ...
aps.arxiv.org/ pdf/ 0803.0119

Bibliographic information

QR code for On Quaternions and Octonions
TitleOn Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry
Ak Peters Series
AuthorsJohn Horton Conway, Derek Alan Smith
Editionillustrated, reprint
PublisherPeters, 2003
ISBN1568811349, 9781568811345
Length159 pages
Subjects ›  › 

Mathematics / Algebra / General
Mathematics / Algebra / Linear
Mathematics / General
Mathematics / Geometry / General
Mathematics / Mathematical Analysis
  
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