面向物理学生的数学课程
A course in mathematics for students of physics
Paul G. Bamberg、Shlomo Sternberg、Paul Bamberg · 初版 1988 年
2人推荐
2位读者提及
4次提及
本教材打破传统，以深入浅出的方式呈现并应用了高深数学。本书面向物理系学生，涵盖了线性代数与多元微积分（尤其是外微积分）的理论及物理应用。外微分形式如今已被数学家和物理学家公认为表述物理几何定律的最佳工具，而物理学前沿也已重新开始探讨有关时空几何的根本问题。本书涵盖了微分与积分的基础内容，
Hacker News 上怎么说
正在加载完整评论……
太高兴看到“斯托克斯定理”（Stokes' theorem）了！当年读大学时，我把 Paul Bamberg 和 Shlomo Sternberg 写的《A Course in Mathematics for Students of Physics》给啃了个精光，里面讲了外微分（exterior calculus）。看到电路里的基尔霍夫定律、电磁学里的通量和环路积分定律全都统一成了同一种形式，简直太爽了。
So glad to see "Stokes' theorem"! Back in college, I devoured the books "A Course in Mathematics for Students of Physics" by Paul Bamberg and Schlomo Sternberg that covered exterior calculus. It was awesome to see kirchoff's laws in circuits, flux and loop integral laws in electromagnetism all take the same form.
Paul Bamberg 和 Shlomo Sternberg 写的《A course in mathematics for students of physics》（第1卷和第2卷）。[1] [2] 这两本书我太爱了！我直接用它们代替了我的课程教材，至今感激自己当年做了这个决定。尤其是第2卷，简直……
"A course in mathematics for students of physics" (volumes 1 and 2) by Paul Bamberg and Schlomo Sternberg. [1] [2] I loved both the books! I replaced my course textbooks with these and am eternally thankful I did that. Volume 2, in particular, is really…
……微积分，多学线性代数是个错误。有一本非常棒的两卷本好书，我觉得它展示了如何利用微积分来拓展线性代数的方法，从而解决广泛的问题：《A Course in Mathematics for Students of Physics》：http://www.goodreads.com/book/show/2685577-a-course-in-mathe... 第2卷更重要。它先展示了如何用线性代数方法解决电路问题，然后推广到……
…calculus and more linear algebra is a mistake. There is a really good book in two volumes that I feel shows how methods of linear algebra can be extended using calculus to solve a wide range of problems: A Course in Mathematics for Students of Physics: http://www.goodreads.com/book/show/2685577-a-course-in-mathe... Volume 2 is more important. It starts demonstrating how methods of Linear Algebra can be used to solve circuit problem, then generalizes…
……宝贵。注意，我这里说的可不包括那种用更少代码做同样事情的。正如所有美好的事物一样，这很难直观展现，所以我用物理学里的一个类比。Paul Bamberg 和 Shlomo Sternberg 所著《A course in mathematics for students of physics》（第2卷）的第“xv”页有一个表格（在亚马逊上可以看试读样本），展示了麦克斯韦方程组在历史演变过程中的四种形式。每一次改变都体现了……
…valuable. Note that I'm not including code that does the same with less. As with all things beautiful, this is tough to illustrate, so I'll use an analogy here from Physics. Page "xv" of the book "A course in mathematics for students of physics" (volume 2) by Paul Bamberg and Shlomo Sternberg contains a table (do a "look inside" on Amazon) that shows four forms of Maxwell's equations as they evolved over the course of history. Each change expresses…