Málstofa í stærðfræði
Fyrirlesari: Timo Alho, Háskóli Íslands
Titill: Clifford algebra as the fundamental structure of geometry
Staðsetning: Naustið, Endurmenntun (hér)
Tími: Fimmtudagur 5. febrúar, frá 15:00-16:00.
Ágrip:
Today, elementary geometry is practiced in a variety of formalisms, such as Gibbs-Heaviside vector calculus, quaternions, exterior algebra and calculus, index gymnastics, and so on. Each of these formalisms has a number of advantages and a number of disadvantages. The aim of this talk is to acquaint the audience with a formalism called Geometric Algebra (GA), originated by Clifford and developed in its modern form by Hestenes. All of the aforementioned formalisms are special cases of Geometric Algebra, which provides a unified and coordinate-free system for geometry in inner product spaces. We intend in this talk to make and justify the claim that GA is superior to all standard methods of doing geometry, and should be more widely known, studied, taught and used in research.Math Colloquium
Speaker: Timo Alho, University of Iceland
Title: Clifford algebra as the fundamental structure of geometry
Location: Naustið, Endurmenntun (hér)
Time: Thursday, February 5., at 15:00-16:00.
Abstract:
Today, elementary geometry is practiced in a variety of formalisms, such as Gibbs-Heaviside vector calculus, quaternions, exterior algebra and calculus, index gymnastics, and so on. Each of these formalisms has a number of advantages and a number of disadvantages. The aim of this talk is to acquaint the audience with a formalism called Geometric Algebra (GA), originated by Clifford and developed in its modern form by
Hestenes. All of the aforementioned formalisms are special cases of Geometric Algebra, which provides a unified and coordinate-free system for geometry in inner product spaces. We intend in this talk to make and justify the claim that GA is superior to all standard methods of doing geometry, and should be more widely known, studied, taught and used in research.