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References:
   Here are some ink-on-paper reading material on the subject. The Library call numbers may differ from the ones used at your library. The one with * are introductory.

Books
Albert,A,A(Edit) .. Studies in Modern Algebra. vol.2.  Math.Ass.of Am.(1963) QA 251. A32
Albert,A,A
Structure of Algebras, Am.Math.Soc.Colloq.Pub.XXIV. Am.Math.Soc.(1939) QA247. A5
Artmann,B* .. The Concept of Numbers:From Quaternion to Monads & Topological Fields.
Ellis Horwood (div of J.Wiley) (1988)
QA 241. A73513
Conway,J.H &
D.A.Smith

On Quaternions & Octonions:Their Geometry, Arithmetic, & Symmetry.
A.K.Peters Ltd. (2003)
QA196. C66
Dixon,G.M . Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics. Kluwer Acad.Pub. (1994) QC20.7.A4D59
Drey,T &
Manogue, C

The Geometry of the Octonions. World Scientific (2015)
QA252.5.D73
Gursey,F &
Tze,C-H

On the Role of Division, Jordan & Related Algebras in Particle Physics. 
World Scientific (1996)
QC776.G87
Harvey,F.R .. Spinors & Calibrations;Perspectives in Mathematics, Vol.9.
Academic Press(1990)
QA433.H327
Herman,R *
Spinors, Clifford & Cayley Algebras. Interdisciplinary Math.vol.VII
Dept. of Mathematics, Rutger U (1974)
QA266.H47
Jacobson,N* .. Basic Algebra I.  Freeman & Co. (1974) QA 154.2J32
Jacobson,N
Lie Algebras.  J.Wiley (1962), Dover Publ.Inc.(1979)
Kantor,I.L &
Solodovnikov,A.S*
.. Hypercomplex Numbers, An Elementary Introduction to Algebras. 
Springer-Verlag (1989)
QA255K3613
Kauffman,L.H*
Knots & Physics.  World Scientific (1991)
Lohmus,J,Paal,E &
Sorgsepp,L
.. Non Associative Algebras in Physics.  Hadronic Press (1994) QC20.7N58L64
Okubo,S
Introduction to Octonion & Other Non-Associative Algebras in Physics. 
Cambridge U.P. (1995)
QC20.7.N58038
Porteous,I.R . Topological Geometry.  Cambridge U.Press (1969) ...
Schafer,R.D .. An Introduction to Nonassociative Algebras. 
Academic Press(1966), Dover Publ.Inc.(1995)
QA252.S33
Zhevlakov,K.A,Slin'ko,A.M,
Shestakov,I.P&Shirshov,A.T

Rings That are Nearly Associative: Chapter 2. 
Academic Press (1982)
QA 3 P8Vol.104




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Non-Technical Articles
Stewart,I         
... The Missing Link, New Scientist, Vol.176 (9th Nov.2002)
Merali,Z

Rummaging for a Final Theory, Scientific American, Vol.303(Sept.2010)

     
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