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.
"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 LAGA link is gold. Wish I could give more upvotes.
This paragraph I think gives context to both the HN thread author and the commenter:
Geometric algebra as practiced today originated in the 1960’s. It is currently
under vigorous development. It has found important applications in computer
science (in graphics, robotics, and computer vision), engineering, and physics.
It is available to game developers for the Xbox and PlayStation video game
consoles. This text is an attempt to keep up with these modern developments.
Putting on my must read/study list (I am proficient in linear algebra, so hoping for a gentle push into geometric algebra)
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.
