GA Books / GA Math / Geometric Algebra / Interview
by GA Explorer · Published April 26, 2017 · Last modified November 7, 2017
Two elementary courses common to modern physics, mathematics, and engineering curricula are Linear Algebra and Vector Calculus. Geometric Algebra is a natural and powerful extension of linear algebra and Geometric Calculus is even more so for vector calculus.
In this post, I interview Dr. Alan Macdonald who talks about his experience with both subjects and how he contributes in educating young undergraduate students about them through his books and online videos.
GA Math / Geometric Algebra / Interview
by GA Explorer · Published March 17, 2017 · Last modified November 7, 2017
In this post, I interview Dr. Charles Gunn, a mathematician, movie-maker, and teacher whose mathematical activities center around projective geometry and its connection to the human being and the world. He is particularly excited by his recent work on Projective Geometric Algebra (PGA), which he believes has a great role to play in bringing the benefits of GA to a wider audience.
GA Computing / GA Software / Interview
by GA Explorer · Published February 20, 2017 · Last modified November 7, 2017
The area of Scientific Visualization (SciViz) is an interdisciplinary branch of science. According to Friendly, it is “primarily concerned with the visualization of three-dimensional phenomena (architectural, meteorological, medical, biological, etc.), where the emphasis is on realistic renderings of volumes, surfaces, illumination sources, and so forth, perhaps with a dynamic (time) component”. It is also considered a subset of computer graphics, a branch of computer science. The purpose of scientific visualization is to graphically illustrate scientific data to enable scientists to understand, illustrate, and glean insight from their data.
In this post, I interview Dr. Werner Benger who describes his views on SciViz using Geometric Algebra and provides valuable insights about the use of SciViz in Big Data applications.
GA Applications / Geometric Algebra / Interview
by GA Explorer · Published January 27, 2017 · Last modified November 7, 2017
A Cyberneticist, or cybernetician, is a person practicing Cybernetics: a transdisciplinary approach for exploring regulatory systems; their structures, constraints, and possibilities. Professor Eduardo Bayro-Corrochano is one such leading academic who uses Geometric Algebra to handle the diverse fields of theoretical knowledge and practical application he needs. Such fields include Robotics, Neural Computing, Computer Vision, and Lie Algebras. In this post, I interview Prof. Eduardo Bayro who tells us about how using GA in his work can simplify dealing with such diverse fields, and how can GA relate, generalize, and unify ideas from these fields together in his mind and the minds of his students.
GA Applications / GA Computing / GA Software / Interview
by GA Explorer · Published January 17, 2017 · Last modified May 3, 2018
One of the most important fields of application for Geometric algebra can be found in Computer Science. In this post, I interview 3 key researchers who apply Geometric Algebra in their work to share their valuable experience and insights. Their applied research spans many applications in computer science including Computer Graphics, Robotics, Computer Vision, Image Processing, Neural Computing, and more.
GA History / Geometric Algebra / Interview
by GA Explorer · Published January 17, 2017 · Last modified February 1, 2020
Foundations of modern Geometric Algebra and Geometric Calculus were laid down by Prof. David Hestenes and Dr. Garret Sobczyk 50 years ago. In this post, I interview Dr. Garret Sobczyk who tells us about his fascinating life journey with Prof. Hestenes. Their journey eventually inspired many researchers to follow their lead in learning, developing, and applying Geometric Algebra and Geometric Calculus to many fields of science.
GA Applications / Geometric Algebra / Interview
by GA Explorer · Published January 17, 2017 · Last modified November 7, 2017
In this post, I interview Dr. Yu Zhaoyuan who explains the importance of Geographical Information Science (GIS) and the potential of Geometric Algebra as a mathematical modeling tool in this fascinating field of study. Dr. Zhaoyuan talks about the deep relations between Geometric Computing and GIS. He then tells us about the difficulties facing the creation of good GIS simulators and how GA can help in this regard. Finally, he talks about the recent GAGIS conference and the important research presented there.
