Vector and Geometric Calculus

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• thechao · Nov 18, 2020 · Recommends

  I cannot recommend Alan MacDonald's two books enough (Linear and Algebra; and, Vector and Geometric Calculus). They literally replace reams of texts on complex numbers, quaternions, octonions, spinors, etc. under a single unifying concept. (They don't replace those concepts; and, for sure, if you want to learn…

  on “All Hail Geometric Algebra” ↗
• aethertap · Feb 4, 2015 · Recommends

  I am doing this too, with Macdonald's "Linear and Geometric Algebra" and "Vector and Geometric Calculus" along with "Networks, Crowds, and Markets" and "Chaos and Nonlinear Dynamics." It's slow going, but very enjoyable. The most interesting side effect I've noticed from doing this is a dramatic improvement…

  on “A Software Engineer’s Adventures in Learning Mathematics” ↗
• happy4crazy · Sep 7, 2016 · Recommends

  For another resource, Alan Macdonald has some nice videos that accompany his books, "Linear and Geometric Algebra" and "Vector and Geometric Calculus": https://www.youtube.com/channel/UCymE67THrWoeTABxzJm1wdg/pla...

  on “How Quaternions encode rotations: derivation and sample code” ↗
• nimish · Apr 11, 2019 · Recommends

  Linear and geometric algebra Vector and geometric calculus Both by Alan macdonald, both very good.

  on “Seven-Dimensional Cross Product” ↗
• SAI_Peregrinus · Feb 14, 2020 · Recommends

  …first 2 are more pure introductions to the math, the third is applying it to physics, the fourth to CS. Linear and Geometric Algebra, by Alan Macdonald: http://www.faculty.luther.edu/~macdonal/laga/ Vector and Geometric Calculus, by Alan Macdonald: http://www.faculty.luther.edu/~macdonal/vagc/index.html Application to physics: New Foundations for Classical Mechanics by David Hestenes: https://books.google.com/books/about/New_Foundations_for_Cla...…

  on “Introduction to Clifford Algebra (2006)” ↗
• _ktnd · Jan 27, 2024 · Recommends

  …https://immersivemath.com/ila/index.html (online book) - Margalit et al., Interactive Linear Algebra, https://textbooks.math.gatech.edu/ila/ (online textbook) - Macdonald A., Linear and Geometric Algebra - Macdonald A., Vector and Geometric Calculus - Ramirez et al., From Vectors to Geometric Algebra, 2018, https://doi.org/10.48550/arXiv.1802.08153 - Hertzmann et al., Computer Graphics Lecture Notes, Computer Science Department - University…

  on “Tell HN: Comp Sci, Algebra and Calculus Resources I Like” ↗
• _ktnd · Mar 25, 2024 · Recommends

  …https://www.math.brown.edu/streil/papers/LADW/LADW-2014-09.p... Linear algebra and vector calculus revamped: — Linear and Geometric Algebra by Alan Macdonald: http://www.faculty.luther.edu/~macdonal/laga/index.html — Vector and Geometric Calculus: http://www.faculty.luther.edu/~macdonal/vagc/index.html

  on “Ask HN: Learning Maths from the Ground Up” ↗
• jacobolus · Nov 13, 2016 · Mentions

  …[MacDonald][]’s [Linear and Geometric Algebra][laga]; I don’t think Hestenes is really on board with this approach, but there’s not too much else pitched at a similar audience. MacDonald also has a book [Vector and Geometric Calculus][vagc] which I suspect will be substantially easier to work through than Hestenes and Sobczyk’s [Clifford Algebra to Geometric Calculus][cagc]. (I haven’t looked at either of MacDonald’s books) If you’re…

  on “Clifford Algebra: A visual introduction (2014)” ↗
• topspin · Nov 18, 2020 · Mentions

  To save others the effort the two books are: Linear and Geometric Algebra (October 2020 printing) 978-1453854938 $30 new @Amazon Vector and Geometric Calculus (also Oct. 2020 prining) 978-1480132450 $35 new @Amazon Affordable, surprisingly.

  on “All Hail Geometric Algebra” ↗