经典力学的新基础
New foundations for classical mechanics
David Hestenes · 初版 1986 年
5人推荐
8位读者提及
16次提及
“本书介绍了作为物理学和数学统一语言的geometric algebra。它包含了在经典力学中的广泛应用，采用适合中级课程的教科书体例。全书配有200多幅图表，以帮助培养几何与物理直觉。除了涵盖质点和刚体力学课程的标准内容外，本书还引入了用于旋转动力学和轨道力学的全新无坐标方法，将这些学科的发展推向了远超其他教科书的水平
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……偏数学的视角，可以看看 Chisolm 在 arxiv 上的那个[像书一样的小玩意儿][chisolm]。如果你想要一整本针对高年级本科物理专业水平、包含具体练习题的书，可以试试 Hestenes 的《经典力学新基础》（New Foundations for Classical Mechanics）[nfcm]。这是我见过的用来理解力学问题中复数旋转的最佳参考资料。如果你想解一些平面几何问题，这本看起来相当通俗易懂[Treatise……
…from a mathy perspective, try Chisolm’s [book-like thingy on arxiv][chisolm] If you want a whole book of concrete problems to solve at an advanced undergraduate physics student level, try Hestenes’s [New Foundations for Classical Mechanics][nfcm]. This is the best source I’ve seen anywhere about understanding complex rotations in mechanics problems. If you want to solve some plane geometry problems, this thing looks fairly accessible [Treatise…
……强烈建议研究他在建模方面的工作，以及他在几何代数（Geometric Algebra）上的研究。也就是说，每个物理学家，尤其是教本科力学的老师，都应该尝试把《经典力学新基础》（New Foundations for Classical Mechanics）啃一遍；任何阶段的物理老师都应该认真花些时间看看 http://geocalc.clas.asu.edu/html/Modeling.html 和 http://modeling.asu.edu/。至于坐标系：很多很多问题中……
…highly recommend studying his work on modeling, as well as studying his work on Geometric Algebra. That is, every physicist, especially mechanics teachers at the undergrad level, should try working through New Foundations for Classical Mechanics, and every physics teacher at every level should spend some solid time with http://geocalc.clas.asu.edu/html/Modeling.html http://modeling.asu.edu/ As for coordinates: there are many many problems in…
我个人推荐的几何代数书籍是 Hestenes 写的那本《经典力学新基础》（New Foundations for Classical Mechanics，https://www.amazon.com/dp/0792355148/）。《计算机科学中的几何代数》（Geometric Algebra for Computer Science）让我挺失望的，最近搬新公寓时我就把它给处理掉了，不过我是数学背景的……
My personal recommendation for a book on geometric algebra is the one by Hestenes, New Foundations for Classical Mechanics (https://www.amazon.com/dp/0792355148/). I was disappointed by Geometric Algebra for Computer Science and I recently got rid of my copy when I moved to a new apartment, but I have a mathematics background…
……硬件。我认为 GA（几何代数）在各个领域大爆发的日子就要来了，因为多亏了很多人，尤其是 Dave Hestenes[2]，它已经在幕后酝酿多年了。我非常喜欢他的书《经典力学新基础》（New Foundations for Classical Mechanics）。我用 APL 和 J[3] 编程，希望数组编程能平滑过渡出一个杀手级的 GA 库/模块以及 GA 编码范式，让它更多地融入我的工作，而不仅仅是个业余爱好。……
…hardware. I think the day is coming for an explosion of GA in everything, since it has been simmering behind the scenes for many years thanks to many, Dave Hestenes[2] in particular. I love his book New Foundations for Classical Mechanics. I program in APL and J[3], and hope that the array programming will segue into a winning GA library/module and way of approaching coding GA to make it more of a player in my work rather than my hobby.…
……https://www.shapeoperator.com/2016/12/12/sunset-geometry/ 接下来也许可以看那本《GA for Computer Science》，或者如果你喜欢（或想学习）牛顿力学，可以试试 Hestenes 的书《经典力学新基础》（New Foundations for Classical Mechanics）。对于数学背景更深的人，我推荐 https://arxiv.org/abs/1205.5935
…https://www.shapeoperator.com/2016/12/12/sunset-geometry/ And perhaps follow up with the GA for Computer Science book, or if you like (or want to learn about) Newtonian mechanics, try Hestenes’s book New Foundations for Classical Mechanics. For people with a mathier background, I would recommend https://arxiv.org/abs/1205.5935
> 假设我想教第一学期的力学 如果你需要教本科力学，我强烈建议你至少读一读 Hestenes 的《经典力学新基础》（New Foundations for Classical Mechanics）http://geocalc.clas.asu.edu/html/NFCM.html > 没有任何独特的优势 最基本的独特优势在于你可以对向量求逆（这超级有用！！），而不需要……
> Suppose I want to teach first-semester mechanics If you need to teach undergraduate mechanics, I highly recommend you at least read some of Hestenes’ New Foundations for Classical Mechanics http://geocalc.clas.asu.edu/html/NFCM.html > without any distinctive advantages The most basic distinctive advantage is that you can invert vectors (which is incredibly useful!!) without needing to…