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晨兴通俗报告How to do Mathematics文稿

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晨兴通俗报告How to do Mathematics文稿
(任金波整理,欢迎纠错)
以下是我整理并翻译成汉语的,本人才疏学浅,有些地方实在没听懂,其余部分难免也有很多错误,翻译的汉语对演讲者的意思的传达也可能有不准确的地方,恳请大家纠错并不吝赐教!谢谢!
特别鸣谢:Asa,Ray,诸子越同学,胡晓文师兄,张汉雄师兄,我万分感谢他们对我的帮助!!!
How <wbr>to <wbr>do <wbr>Mathematics <wbr>by <wbr>Benson <wbr>Farb
Title: How to do mathematics? (A personal viewpoint)
Speaker: Prof. Beson Farb (Chicago University)
Time: 1 July, 19:00-20:30
Place: 110 Hall of Morningside Center of Mathematics
Beson Farb简介
· 他是芝加哥大学最受欢迎的教授之一
· 他对什么是好的数学、什么是不好的数学以及怎么做数学都有很多独到的见解
· 他是Thurston(几何化猜想的提出者)比较杰出和特别的学生
· 他已经指导了29个博士生


1楼2015-05-14 21:59回复
    I am going to say things, but of course, the first thing which is self-evident
    Claim 1 :Each mathematician must find her path
    But, having said that, it can be useful to hear about the path of others, and in fact, one thing I think we forget to do as students is to actually remember to think about what we are doing, to think about the process of mathematics, to think about the issues that we going to talk about tonight. Math is hard enough, and so we spend all the time with math which is great? But one should spend a little time think about what one is doing, and what direction you want to go. These are enormously important things that stay with you for a life, think about the process, so just thinking about it. Itself is a really useful thing to do.
    Farb: 现在我要开始讲了,不过,首先,第一点是很明显的
    断言1:每个数学家要做的第一件事就是找一条她自己的道路去走。
    不过,听别人走的路也可以是有用的,并且事实上,我们在学生阶段总是忘记了自己到底在做什么,忘了去想数学本身的过程,忘了去想今晚我们会谈到的一些话题:数学很难,花大量时间在数学上好不好?一个人,应该花一点时间想想自己在做什么,自己要选择什么样的方向,这对于你一生都很重要,想想这个过程吧,去想一想。这是很有用的。


    4楼2015-05-14 22:02
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      Then
      3. You do have to trust you advisor
      Unless you are one in the million, which you probably won’t know even if you are. You need to trust your advisor, you cannot go on your own path, if your advisor tells you to learn some specific things, I would say, you are allowed to question why, but if the advisor sticks to it, if you disagree, voice your opinion, but if your advisor finally says you really need to do it, then you really need to do it. You can't have a relationship otherwise. I can see this from a advisor's view point, the advisor give up on you immediately, we will give up immediately, there is nothing I can do for you if you don't listen to me, I won’t waste my time. If you come up with a logical argument, you can debate, I will listen, but in the end of day, I am the boss, you know what can I say, you do need to have that done. Sometimes you don't know why your problem is interesting, you are allowed to ask your advisor, and you should ask your advisor, but sometime the response might be, you have to have a broader viewpoint, you are still learning keep working, finally you will see how it connects later .Trust that.
      再次
      3.你必须信任你的导师
      除非你是百万中挑一的那种人,你甚至意识不到你是否是那种人。否则,如果你的导师让你学某种特别的东西,那么我想说,你可以问为什么,说出你的见解,但是,如果最终导师坚持让你学,那么你必须去学。否则,你无法拥有这个(师生)关系。我可以从导师的角度来讲:导师会放弃你的,我们都会放弃你,如果你不去听我的话,那么我无法帮助你,我不想浪费我的时间。如果你有什么争议,那么你可以去理论,我也会听,但是,当一天结束的时候,你还是得完成你的任务,因为我是老板。有时,你不明白为什么这个问题很有趣,你有权问导师,也应该问导师,但有时回答将是…你要有更广阔的的视野,手上的活不能停,最终你会看到它们的联系。你要相信这一点
      At the end, you are really choosing a parent.
      4. Advisor=parent
      It is the people you are stuck with your whole life. Just five minutes before I give this talk, literally between the time I open the door and sat here, I got an email from one of my past students who graduated 12 years ago, he is now a professor, you never sever that relationship, it is a huge, huge decision. You have to take it seriously.
      最后一点


      8楼2015-05-14 22:03
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        4.导师=父母
        导师是和你相伴一生的人。就在讲座开始五分钟前,确切的讲,在我跨入这扇门和坐在这里之间,我收到我之前一个学生的邮件,他是十二年前毕业的,现在已经是教授了。这层师生关系会伴随你众生,所以,(选导师)是个非常重大的决定。你要慎重。


        9楼2015-05-14 22:04
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          Now, I will talk about
          C. How to work
          I thought for this talk it would be useful to tell you about my opinion of these things, because I had a lot of Ph.D students. I really believe the battle in graduate school is the hardest time, hardest time for research for me, I don’t know if it was like this for you. Because I knew the least of mathematics, but I am supposed to prove the theorem, now you know more mathematics, it is easier to prove theorems. So being a graduate student is the hardest time. And usually, there are so many issues that come up that don't have to do with mathematics, but I believe you guys are smart, you are getting a Ph.D in mathematics, you can do it. Some of you will write better Ph.D than others, but I think the battle is emotional, you are going to get depression, you are going be get stuck, you are going to think why I am doing math, I want to help the world. Although I think math is helping the world. That is a different story. You have to get through all this in the battle, and the battle is like work, and the working is hard, no one is forcing you to work, you have a thesis, in United States, it’s definitely now you can do nothing for three years basically. It’s hard, to everyday work, and once you are working, you usually love it, but you want to run from math, because it is hard. I really think the entire battle is emotional battle, it’s just as important as the mathematical. I wish somebody had told me these things, it would have made my life a lot easier.
          现在讲
          C. 如何工作
          我想,如果在报告中讲这些东西,那么将会很有用,因为我有很多博士生。我相信研究生时期的工作是科研中最艰难的阶段,至少对我是这样,我不知道你们是不是这样。因为我这时对数学了解的最少,但我还得证明定理,现在我懂得更多数学,证明容易多了。所以做研究生是最难的。一般来说,很多问题迎面而来让你不做数学。但是,我相信你们都是聪明的,否则不会读博士。诚然,有的博士写的论文比另外的博士优秀,但是,真正的挑战是心理上的。你可能会遇到失望,可能会遇到瓶颈,甚至你会想我干嘛要做数学,我要服务于这个世界。虽然数学也是服务于世界的,当然这是另一个故事。这些困难你都要克服,当然,工作是很难的,没有人强迫你去工作,事实上,在美国,理论上你从现在开始三年啥也不干也没人管。每天工作很难,但一般你开始工作后你会喜欢它,但是你想逃离数学,因为它很难。所以,我觉得困难主要是心理上的。当初我就希望有人告诉我一些这方面的东西,让我生活容易些。


          11楼2015-05-14 22:05
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            Thomas Edison has said
            Genius is 1% of inspiration, 99% perspiration.
            I think most people have heard this, basically the greatest inventor in history. I think this is a fantastic…perspiration is sweating, it is hard work. He was trying to say the obvious thing is all about hard work. I have to say, in mathematics, I have a different quote, with all apologies to Edison, here is my own, maybe is coming from my own personal life:
            Genius is 1% inspiration, 35% perspiration and 64% obsessive-compulsive disorder.
            Anyway, this is a very useful mental disorder to have, obsessive-compulsive disorder, if you don’t, you can look that up, (do you have some detail or examples?) Obsessive-compulsive disorder is just when you drink, you have to touch things three time, the inability to let things go, to just hold on and never let go. The point is, you can not have vacations, you can’t do anything, it’s like mental illness, you are constantly obsessing, you are constantly thinking about that, you are looking at someone, nodding, but you are really thinking about math. I see all the good mathematicians I know have this obsessive-compulsive disorder. ^
            托马斯爱迪生说过:天才是1%的灵感和99%的汗水。
            我想大多数人都听说过这个,爱迪生是历史上最伟大的发明家之一。汗水,那就是努力工作了。这句话在于阐述世上最明显的真理——努力工作。我想说,在数学中,我有另一个注记,这是我自己说的,来源于我的体会:
            天才是1%的灵感,35%的汗水和64%的“强迫症”
            当然,这“强迫症”是有用的,它让你离不开你从事的东西,让你专注于此。要点是,你不能休(太久)假,你不能做任何(其他)事情,就像精神病一样,你完全集中精力,你完全在想着它。也许你在看着某个人,点着头,但是其实你在想数学。我见到的好的数学家都有这种“强迫症”。


            13楼2015-05-14 22:06
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              19楼2015-05-14 22:08
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                @告不告诉你
                求加精


                20楼2015-05-25 21:00
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                  好多楼没了……


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