※ 本文是否可提供台大同学转作其他非营利用途？（须保留原作者 ID） （是／否／其他条件）：是 哪一学年度修课： 107-1 ψ 授课教师 (若为多人合授请写开课教师，以方便收录) 贺培铭 λ 开课系所与授课对象 (是否为必修或通识课 / 内容是否与某些背景相关) 物理所、天文所选修 δ 课程大概内容 贴自 ceiba 第1周 Overview 第2周 Riemannian manifolds 第3周 Metric 第4周 Geodesics 第5周 Physics in Curved Spacetime 第6周 Connection 第7周 Curvature 第8周 Curvature 第10周 Einstein Equations 第11周 Perihelion Precession 第12周 Schwarzschild Solution 第13周 Black Holes 第14周 Gravitational Waves 第15周 Application to Cosmology 第16周 Other Theories of Gravity 第18周 Final Exam Ω 私心推荐指数(以五分计) ★★★★★ ★★★★ η 上课用书(影印讲义或是指定教科书) http://preposterousuniverse.com/spacetimeandgeometry/ 或 http://xxx.lanl.gov/abs/gr-qc/9712019 另外每章都有讲议可参考，作业题目也在讲议上。 μ 上课方式(投影片、团体讨论、老师教学风格) 老师板书，英文授课，不知为何课程网没有注明，但影响应该不大。 会好好讲每个问题的动机、推导、举例和整理。 然後可能是因为凝态的冷气都要比较低能，我有时会不小心睡着， 醒来就发现世界不一样了。因为听不懂内容，只好笔记一些老师讲的奇怪的话： 9.10 Garbage truck Like a garbage truck, it's the flies(field) that flies around, not the garbage truck itself (that has energy). What has wheels and flies? A garbage truck. 9.10 Unicorns exists Suppose unicorns exist, for a type of unicorn, I'll name it exist-unicorn. Since it is called exist-unicorn, it exists. 9.17 Girl friend and Gorillas Though it looks boring, if you want to know about something, you have to spend time with it. If you want to know about gorillas, you have to spend your time with gorillas; If you want to know about your boy or girlfriend, you have to spend time with him or her. Maybe we should not think of gorillas and boy or girlfriend as the same, but it's true. 9.17 Notation Open sets U_1, U_2, U_3, U_4 Their union U_1 U U_2 U U_3 U U_4 Aha... I regret using U 9.31 Mobius ring Some people correct me every time I say this word. We have a German pronounce it. German girl in class: Mobius Professor: Say it three times German girl: Mobius, Mobius, Mobius Professor: Okay, I'm not sure if I could reproduce this. 9.31 Take a picture I want to take a picture, I told my friend I have 80 students in my class, he doesn't believe me. 9.31 Confusing Is this confusing or obvious? Or both? 10.08 Doughnut If we have alien penpals .... their planet might be like a doughnut (draws a sunny side up egg on the blackboard) or it might have two holes (draws another hole and curves of the doughnut.) I have an idea to open a doughnut shop and sell doughnuts of different topology, then math-oriented people would like to try all of them. 10.15 Twins paradox Suppose we have a set of twins, the brother goes on a rocket while the sister stays on Earth. (There is no word for "elder brother" in English, so they have to be in different genders) ... Then the sister (points at the stick figure on Earth), this is the sister, right? I can't remember, let me draw some hair. ... If the brother uses a telescope to look at her sister through the journey. It might sound creepy, but he could do that. 10.15 Word & LaTeX This is like Word and LaTeX. If you use Word, you get something fast, and it looks fine. If you use LaTeX, you spend more time in the beginning, but you get something more beautiful. Do not quote me. 10.22 Nothing This entry could be nothing but zero ... nothing but zero is simply nothing. 10.22 Gravitational field If you have a strong gravitational field, and something in it... (tosses the chalk in his hand) 12.03 Explanation Is this too abstract? Do I have to explain this in a different way? I don't have a different way. Okay, this is homework, please tell me if you find a different way. 12.03 Change of variables You can always change variables, no one could forbid you to do this. To me, this is basic human right. σ 评分方式(给分甜吗？是紮实分？) 70% 作业；30% 期末 成绩只送通过与否，没有等第，我也是拿到成绩才发现... ρ 考题型式、作业方式 只有期末考试，普通的是非、简答、问答，有提供考古。应该没有为难人。 作业四次各五题，可手写或打字，好象每次都是简单题到难题。 ω 其它(是否注重出席率？如果为外系选修，需先有什麽基础较好吗？老师个性？ 加签习惯？严禁迟到等…) 我不知道老师在不在意出席人数，反正不会影响成绩。 我是少数外系的，大概有用到一些微积分和线性代数知识吧。 如果有强大的想像力或是数学很好或是擅於闭着眼睛操作符号，应该很有帮助。 比较麻烦的是，有时上课或作业举例用的东西没看过，就得另花时间看懂。 （如 Maxwell's equation, Schrödinger equaton） 加签状况我没印象，教室算满，但我外系选得到课，所以应该不是大问题。 Ψ 总结 其实我只是毕业前想用 112ip 赚 P 币顺便清硬碟而已。 --

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