MHB Free Digital Resources on Clifford Algebras - Get Recommendations Now!

  • Thread starter Thread starter The Chaz
  • Start date Start date
AI Thread Summary
Recommendations for free digital resources on Clifford algebras include a PDF from arXiv and the textbook "Geometric Algebra for Physicists" by authors from Cambridge University. The discussion highlights the need for resources beyond common platforms like Wikipedia and Wolfram. Participants inquire about specific aspects of Clifford algebras, such as their representation theory and connections to quadratic forms. The conversation emphasizes the search for quality educational materials in this mathematical area. Overall, users seek diverse and accessible resources to enhance their understanding of Clifford algebras.
The Chaz
Messages
206
Reaction score
0
Does anyone recommend a particular free (digital) resource on Clifford Algebras?

Besides the usual (wiki, wolfram, etc), if possible :D
 
Mathematics news on Phys.org
The Chaz said:
Does anyone recommend a particular free (digital) resource on Clifford Algebras?

Besides the usual (wiki, wolfram, etc), if possible :D

Which aspect of Clifford algebras? Their representation theory? Their relation to quadratic forms?
 
The Chaz said:
Does anyone recommend a particular free (digital) resource on Clifford Algebras?

Besides the usual (wiki, wolfram, etc), if possible :D

You might like this:

http://arxiv.org/pdf/1205.5935v1.pdf

I haven't tried it myself, there's also the textbook geometric algebra for physicists by people from Cam univ.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...

Similar threads

Replies
11
Views
5K
Replies
2
Views
8K
Replies
5
Views
2K
Replies
28
Views
6K
Replies
14
Views
3K
Replies
4
Views
4K
Back
Top