Lectures on Clifford (Geometric) Algebras and Applications Review

Average Reviews:

(More customer reviews)Are you looking to buy Lectures on Clifford (Geometric) Algebras and Applications? Here is the right place to find the great deals. we can offer discounts of up to 90% on Lectures on Clifford (Geometric) Algebras and Applications. Check out the link below:

>> Click Here to See Compare Prices and Get the Best Offers

Lectures on Clifford (Geometric) Algebras and Applications ReviewThis is a very interesting little book on Clifford algebras and applications. It contains six lectures. The editors have written an appendix where a brief review of existing software for computations with Clifford algebras is also presented.
The first lecture, by the late Professor Pertti Lounesto, is a concise but very clear and pedagogically brilliant introduction to Clifford algebras. A more extensive overview can be found in his book "Clifford Algebras and Spinors" (Cambridge University Press, Cambridge, 2nd ed., 2001).
The second lecture, by Ian Porteous, analyzes the mathematical structure of Clifford algebras for real and complex nondegenerate quadratic spaces of arbitrary rank and signature. The third lecture, by John Ryan, focuses on Clifford analysis. The fifth lecture, by J. M. Selig, explores some applications of Clifford algebras in engineering. Finally, in the sixth (and last) lecture, Thomas Branson explains some applications of Clifford algebras in differential geometry.
However, from my perspective, the fourth lecture by William E. Baylis is the most controversial. In fact, the application of Clifford algebras in physics is too important. The discussion on the merits of the so-called algebra of physical space (APS) over the spacetime algebra (STA) of David Hestenes is biased: the author advocates the use of APS as in his book "Electrodynamics: A Modern Geometric Approach" (Birkhäuser, Boston, 1999).
Hestenes' STA is the most clear and efficient framework to deal with relativity: actually, it is the fact that STA can easily display the invariants that makes its superiority as a real Geometric Algebra - not only another Clifford Algebra. Besides, the complex paravectors of APS transform the neat structure of Clifford Algebra into a real mess: the geometric interpretation of complex numbers is based on C as a real algebra - not as a field.Lectures on Clifford (Geometric) Algebras and Applications Overview

Want to learn more information about Lectures on Clifford (Geometric) Algebras and Applications?

>> Click Here to See All Customer Reviews & Ratings Now