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adam930

yadayada, China, Mexico, Trump
Re:Bret Victor's Bookshelf on Thursday January 07, 2016 @05:43PM (#10861396)
Re:Bret Victor's Bookshelf on Tuesday January 05, 2016 @08:34PM (#10847769)
If you read the original bookshelf as a matrix look at row 3 column 3. I recognized at least 5 books on geometric algebra and geometric calculus. This is the way geometry will be done in the future.
http://www.credentis.com/en/innovation/

This is what everyone here seems to be after. A toothpaste with this technology came out this July. But it's only sold in Switzerland.

For background: http://www.futurepundit.com/archives/008256.html

Re:Parallels Between Math and Software Engineering on Sunday August 09, 2015 @06:20PM (#10031775)
Yes, in fact there already is such a formalism: http://faculty.luther.edu/~macdonal/

From the first page:

"Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas, including linear algebra, multivariable calculus, real analysis, complex analysis, and euclidean, noneuclidean, and projective geometry. They provide a unified mathematical language for physics (classical and quantum mechanics, electrodynamics, relativity), the geometrical aspects of computer science (e.g., graphics, robotics, computer vision), and engineering."

The essay by David Hestenes is a worthwile read. Especially the comments where Geometric Algebra is discussed.
I'm sure you will like it. Macdonald is an excellent teacher.

Years ago (2009) I sent an e-mail to David Hestenes asking him if he was planning on writing an introductory textbook on geometric algebra. He said it was in the planning stages.

From what I understood later, it seems he is attempting to write a 100% purely geometric algebra book unlike macdonald who reserved it for the second part of laga.

There are two very good introductory textbooks on the subject by the same author:

http://faculty.luther.edu/~macdonal/laga/ http://faculty.luther.edu/~macdonal/vagc/index.html