《时空与几何》封面

时空与几何

Spacetime and geometry

Sean M. Carroll · 初版 2003 年

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  • ……虽然原则上它自成一体,但也可以作为深入学习某个领域的良好跳板。关于广义相对论,我非常推荐 Sean Carroll 的书《Spacetime and Geometry》http://preposterousuniverse.com/spacetimeandgeometry/。如果觉得前面的路还很长,一步一步来就好。你总会搞懂的。

    …Although intended to be self contained in principle, it also might serve as a good jumping off point to further study in a particular area. For general relativity, I really recommend Sean Carroll's book Spacetime and Geometry http://preposterousuniverse.com/spacetimeandgeometry/. If it seems like a long road ahead just take it one step at a time. You'll get there.

  • 我不确定该推荐什么作为相对论的入门读物。如果你数学底子好、时间充裕,而且真想学好物理,Sean Carrol 的《Spacetime and Geometry》是一本极佳的教材。至于科普级入门,我还真不知道推荐啥好。尽量简洁地说,按我们目前的理解,时空是一个四维空间,其曲率与……相关

    I'm not sure what I would recommend as an introduction to relativity. If you're mathematically minded and have a lot of time on your hands, and actually want to learn the physics, a superb book is "Spacetime and Geometry" by Sean Carrol. As for a layman introduction, I'm not sure what to recommend. As succinctly as I can put it, in our current understanding spacetime is a 4-dimensional space whose curvature is related…

  • ……对不同物体的作用方式不同。在这个渐近平坦的时空中,处于极远处且感受不到引力波(GWs)的惯性观察者会看到该系统发生进动。[3] Carroll 的《Spacetime and Geometry》第 7 章(微扰理论)的 7.4 到 7.6 小节中,对弱引力极限下的数学给出了相当不错的归纳性视角,而且利用该章节的内容应该可以搞定时间反转的技巧。你可以……

    …bodies differently. An inertial observer in this asymptotically flat spacetime at a great distance and not feeling the GWs will see the system precess.[3] Chapter 7 (Perturbation theory) in Carroll's _Spacetime and Geometry_ in subchapters 7.4-7.6 has a reasonably good inductive view of the mathematics in the limit of weak gravity, and the time-reversal trick should be workable with the contents of the chapter. You could…

  • 你也可以看看 Sean Carroll 的《Spacetime and Geometry》。这是我最喜欢的教材。想进一步探索某些概念的话,可以拿 Wald 那本书的后半部分做补充。

    You could also check out Sean Carroll's Spacetime and Geometry. It's my favorite textbook. Supplement with the second half of Wald's book for exploring some concepts

  • 如果要找一本作者在介绍复杂主题方面做得极其出色的教材:Sean Carroll 的《Spacetime and Geometry an Introduction to General Relativity》。还有其他评论里提到的 David Griffiths 和 Gill Strang 的教材也都很棒。

    For a textbook where the author does a brilliant job of introducing a complex topic: Spacetime and Geometry an Introduction to General Relativity by Sean Carroll. Also the textbooks by David Griffiths and Gill Strang mentioned in other comments.

  • 我正在啃 Sean Carroll 的《Spacetime and Geometry》。目前为止读起来还挺顺畅的,而且习题很丰富。Carroll 在引入概念定义时讲得很透彻、动机非常充分,同时也带出了更深层、更美妙的数学。这可不全只是……

    I'm working through Sean Carroll's "Spacetime and Geometry". So far it's been quite accessible and is replete with exercises. Carroll's explanations do a really good job of motivating definitions while also introducing deeper, beautiful math. It's not all just…

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