Both sides previous revision
Previous revision
Next revision

Previous revision

geometric_algebra [2021/10/20 07:56] pbk [Articles] 
geometric_algebra [2022/01/15 02:48] (current) pbk [Lecture notes and tutorials] 
* [[http://isites.harvard.edu/fs/docs/icb.topic1048774.files/clif_mein.pdfClifford algebras and Lie groups]] {{ga:clif_mein.pdf(local)}} //Eckhard Meinrenken//, University of Toronto.  * [[http://isites.harvard.edu/fs/docs/icb.topic1048774.files/clif_mein.pdfClifford algebras and Lie groups]] {{ga:clif_mein.pdf(local)}} //Eckhard Meinrenken//, University of Toronto. 
* [[https://ocw.mit.edu/resources/res8001appliedgeometricalgebraspring2009Applied Geometric Algebra]] (2009)  //László Tisza//, MIT OpenCourseWare.  * [[https://ocw.mit.edu/resources/res8001appliedgeometricalgebraspring2009Applied Geometric Algebra]] (2009)  //László Tisza//, MIT OpenCourseWare. 
 * [[https://www.cefns.nau.edu/~schulz/grassmann.pdfTheory and application of Grassmann Algebra]] (2011)  //William C. Schulz//, Northern Arizona University. 
* [[https://lyseo.edu.ouka.fi/cms7/sites/default/files/geometric_algebratl.pdfWhat is geometric algebra?]] (2016)  //Teuvo Laurinolli//, Oulun Lyseon.  * [[https://lyseo.edu.ouka.fi/cms7/sites/default/files/geometric_algebratl.pdfWhat is geometric algebra?]] (2016)  //Teuvo Laurinolli//, Oulun Lyseon. 
* [[https://www.zatlovac.eu/lecturenotes/GAIntroLagape.pdfGeometric Algebra and Calculus: Unified Language for Mathematics and Physics]] (2018)  //Vaclav Zatloukal//, Czech Technical University in Prague.  * [[https://www.zatlovac.eu/lecturenotes/GAIntroLagape.pdfGeometric Algebra and Calculus: Unified Language for Mathematics and Physics]] (2018)  //Vaclav Zatloukal//, Czech Technical University in Prague. 
* [[https://dspace.library.uu.nl/bitstream/handle/1874/383367/IntroductionToGeometricAlgebraV2.pdfIntroduction to Geometric Algebra, a powerful tool for mathematics and physics]] (2019)  //Denis Lamaker//, Universiteit Utrecht.  * [[https://dspace.library.uu.nl/bitstream/handle/1874/383367/IntroductionToGeometricAlgebraV2.pdfIntroduction to Geometric Algebra, a powerful tool for mathematics and physics]] (2019)  //Denis Lamaker//, Universiteit Utrecht. 
 * [[https://mattferraro.dev/posts/geometricalgebraWhat is the Inverse of a Vector?]] (2021)  //Matt Ferraro//. 
 
===== Videos =====  ===== Videos ===== 
* [[https://www.youtube.com/watch?v=tX4H_ctggYoSIGGRAPH 2019: Geometric Algebra for Computer Graphics]]  //Charles Gunn// and //Steven De Keninck//.  * [[https://www.youtube.com/watch?v=tX4H_ctggYoSIGGRAPH 2019: Geometric Algebra for Computer Graphics]]  //Charles Gunn// and //Steven De Keninck//. 
* [[https://www.youtube.com/playlist?list=PLsSPBzvBkYjzcQ4eCVAntETNNVD2d5S79GAME2020  Geometric Algebra Mini Event]]  //DAE Kortrijk, Belgium//.  * [[https://www.youtube.com/playlist?list=PLsSPBzvBkYjzcQ4eCVAntETNNVD2d5S79GAME2020  Geometric Algebra Mini Event]]  //DAE Kortrijk, Belgium//. 
* [[https://www.youtube.com/watch?v=60z_hpEAtD8A Swift Introduction to Geometric Algebra]]  //sudgylacmoe//.  * [[https://www.youtube.com/watch?v=60z_hpEAtD8A Swift Introduction to Geometric Algebra]] and [[https://www.youtube.com/playlist?list=PLVuwZXwFua0Ks3rRS4tIkswgUmDLqqRyFrom Zero to Geo]]  //sudgylacmoe//. 
* [[https://www.youtube.com/watch?v=cKfC2ZBJulgProjective Geometric Algebra for Paraxial Geometric Optics]]  // Katelyn Spadavecchia//.  * [[https://www.youtube.com/watch?v=cKfC2ZBJulgProjective Geometric Algebra for Paraxial Geometric Optics]]  // Katelyn Spadavecchia//. 
* [[https://www.youtube.com/watch?v=11sH9X0OO9Y&list=PLnpuwbuviU2j7OSnZdstP5_g1ejA32bYAGeometric Algebra Lectures ]]  //Miroslav Josipović//.  * [[https://www.youtube.com/watch?v=11sH9X0OO9Y&list=PLnpuwbuviU2j7OSnZdstP5_g1ejA32bYAGeometric Algebra Lectures ]]  //Miroslav Josipović//. 
* [[https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9488174A Survey on Quaternion Algebra and Geometric Algebra Applications in Engineering and Computer Science 1995–2020]] (2021)  //Eduardo BayroCorrochano//  * [[https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9488174A Survey on Quaternion Algebra and Geometric Algebra Applications in Engineering and Computer Science 1995–2020]] (2021)  //Eduardo BayroCorrochano// 
Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion Algebra and GA applications in computer science and engineering from 1995 to 2020.  Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion Algebra and GA applications in computer science and engineering from 1995 to 2020. 
 
 * [[https://dspace.library.uu.nl/bitstream/handle/1874/403340/thesis.pdfClifford algebras and their application in the Dirac equation]] (2021)  //Paul van Hoegaerden// 
 The aim of this thesis will be to study the Clifford algebras that appear in the derivation of the Dirac equation and investigate alternative formulations of the Dirac equation using (complex) quaternions. To this end, we will first look at the symmetries of the Dirac equation and some of the additional insights that follow from the Dirac equation. We will also give a derivation of the Dirac equation starting from the Schrödinger equation, in which we will come across the gamma matrices. 
 
 * [[https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/cta.3132Geometric Algebra for teaching AC Circuit Theory]] (2021)  //Francisco G. Montoya, Raúl Baños et al// 
 This paper presents and discusses the usage of Geometric Algebra (GA) for the analysis of electrical alternating current (AC) circuits. The potential benefits of this novel approach are highlighted in the study of linear and nonlinear circuits with sinusoidal and nonsinusoidal sources in the frequency domain, which are important issues in electrical engineering undergraduate courses. 
===== Books =====  ===== Books ===== 
 