Alan MacDonald 的两本书我怎么推荐都不为过（《线性与几何代数》以及《向量与几何微积分》）。它们简直是用一个统一的概念，直接取代了关于复数、四元数、八元数、旋量等海量文献。（它们并不是取代这些概念本身；而且，如果你确实想学……
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…
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…
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...
……前两本更偏纯数学入门，第三本是应用到物理学，第四本是计算机科学。《线性与几何代数》，作者 Alan Macdonald：http://www.faculty.luther.edu/~macdonal/laga/ 《向量与几何微积分》，作者 Alan Macdonald：http://www.faculty.luther.edu/~macdonal/vagc/index.html 物理学应用方面：David Hestenes 的《New Foundations for Classical Mechanics》：https://books.google.com/books/about/New_Foundations_for_Cla...……
…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...…
……https://immersivemath.com/ila/index.html（在线图书）- Margalit 等人著，《Interactive Linear Algebra》，https://textbooks.math.gatech.edu/ila/（在线教材）- Macdonald A. 著，《线性与几何代数》- Macdonald A. 著，《向量与几何微积分》- Ramirez 等人著，《From Vectors to Geometric Algebra》，2018，https://doi.org/10.48550/arXiv.1802.08153 - Hertzmann 等人著，计算机图形学讲义，计算机科学系 - 大学……
…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…
Alan MacDonald 的两本书我怎么推荐都不为过（《线性与几何代数》以及《向量与几何微积分》）。它们简直是用一个统一的概念，直接取代了关于复数、四元数、八元数、旋量等海量文献。（它们并不是取代这些概念本身；而且，如果你确实想学……
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…
我也在这么搞，配合 Macdonald 的《线性与几何代数》和《向量与几何微积分》，还有《网络、群体与市场》以及《混沌与非线性动力学》。进度很慢，但非常享受。我发现这么做带来的最有趣的副产品，是显著提升了……
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…
顺便分享另一个资源，Alan Macdonald 录制了一些很棒的视频来配合他的书《线性与几何代数》和《向量与几何微积分》：https://www.youtube.com/channel/UCymE67THrWoeTABxzJm1wdg/pla...
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...
《线性与几何代数》和《向量与几何微积分》，两本都是 Alan macdonald 写的，两本都极好。
Linear and geometric algebra Vector and geometric calculus Both by Alan macdonald, both very good.
……前两本更偏纯数学入门，第三本是应用到物理学，第四本是计算机科学。《线性与几何代数》，作者 Alan Macdonald：http://www.faculty.luther.edu/~macdonal/laga/ 《向量与几何微积分》，作者 Alan Macdonald：http://www.faculty.luther.edu/~macdonal/vagc/index.html 物理学应用方面：David Hestenes 的《New Foundations for Classical Mechanics》：https://books.google.com/books/about/New_Foundations_for_Cla...……
…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...…
……https://immersivemath.com/ila/index.html（在线图书）- Margalit 等人著，《Interactive Linear Algebra》，https://textbooks.math.gatech.edu/ila/（在线教材）- Macdonald A. 著，《线性与几何代数》- Macdonald A. 著，《向量与几何微积分》- Ramirez 等人著，《From Vectors to Geometric Algebra》，2018，https://doi.org/10.48550/arXiv.1802.08153 - Hertzmann 等人著，计算机图形学讲义，计算机科学系 - 大学……
…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…