Mathematics and Its Applications

Division Algebras:

Octonions Quaternions Complex Numbers and the Algebraic Design of Physics

Authors: Dixon, G.M.

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About this book

I don't know who Gigerenzer is, but he wrote something very clever that I saw quoted in a popular glossy magazine: "Evolution has tuned the way we think to frequencies of co-occurances, as with the hunter who remembers the area where he has had the most success killing game." This sanguine thought explains my obsession with the division algebras. Every effort I have ever made to connect them to physics - to the design of reality - has succeeded, with my expectations often surpassed. Doubtless this strong statement is colored by a selective memory, but the kind of game I sought, and still seek, seems to frowst about this particular watering hole in droves. I settled down there some years ago and have never feIt like Ieaving. This book is about the beasts I selected for attention (if you will, to renĀ­ der this metaphor politically correct, let's say I was a nature photographer), and the kind of tools I had to develop to get the kind of shots Iwanted (the tools that I found there were for my taste overly abstract and theoretical). Half of thisbook is about these tools, and some applications thereof that should demonstrate their power. The rest is devoted to a demonstration of the intimate connection between the mathematics of the division algebras and the Standard Model of quarks and leptons with U(l) x SU(2) x SU(3) gauge fields, and the connection of this model to lO-dimensional spacetime implied by the mathematics.

Table of contents (8 chapters)

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-1-4757-2315-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-0-7923-2890-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4419-4746-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Division Algebras:
Book Subtitle
Octonions Quaternions Complex Numbers and the Algebraic Design of Physics
Authors
Series Title
Mathematics and Its Applications
Series Volume
290
Copyright
1994
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-1-4757-2315-1
DOI
10.1007/978-1-4757-2315-1
Hardcover ISBN
978-0-7923-2890-2
Softcover ISBN
978-1-4419-4746-8
Edition Number
1
Number of Pages
X, 238
Topics