哪里有复习数学的好地方?

发布于 2024-07-05 17:42:36 字数 103 浏览 10 评论 0原文

数学技能变得越来越重要,我想知道在继续学习更多 CompSci 特定内容之前,哪里有一个好地方可以温习一些基础知识?

一个包含大量视频和练习的网站将是双赢,但我似乎找不到。

Math skills are becoming more and more essential, and I wonder where is a good place to brush up on some basics before moving on to some more CompSci specific stuff?

A site with lots of video's as well as practice exercises would be a double win but I can't seem to find one.

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谎言 2024-07-12 17:42:37

既然你想温习数学,

我建议你在 UCCS 数学在线上进行 G 搜索

,或者点击此链接,免费注册后,你可以浏览 档案

我必须说,你会发现人们推荐课程 X 是很常见的。

但你很少会发现人们完成他们推荐的课程..

所以在数论的情况下你必须去最新的课程,最后一个课程没有高质量的视频..

还有离散数学->没有关于数论的讲义这个网站

所以你必须弄清楚如何建立对应的两个在线课程(6.042有很好的P集和注释)和上面的离散数学数学课程。

我不鼓励你使用YouTube(x分钟)教程,因为它们大多数都涵盖像历史一样的数学..

通过G搜索哈佛OI可以找到一门好课程--

它有概率(非连续)-有P组没有解决方案..

Since you want to brush up your math

I would suggest you to do a G search on UCCS math online

Or follow this link , and after registering yourself free you can browse the archives

I must say that It's common that you will find people recommending course X .

But rarely will you find people completing their recommended course ..

SO IN the case of number theory you must go for the latest course , the last offering has not high quality video ..

Also for Discrete Math ->There are no lecture notes on this site

So you have to figure out how to establish correspondence two online course (6.042 has good P sets and Notes) And The above Math course for Discrete Math .

I would discourage you to use YouTube (x minutes ) tutorials , Because most of them cover Math like History ..

A good course can be found by G searching Harvard OlI--

It has probability (Non Continuous) - There are P sets without solutions ..

冬天的雪花 2024-07-12 17:42:37

BetterExplained.com 有一些很棒的数学讲座。 这不是视频讲座,但作者对数学概念进行了易于理解的解释。

BetterExplained.com has some great math lectures. Its not video lectures but the author gives easy-to-understand explanations on math concepts.

你丑哭了我 2024-07-12 17:42:37

不要忘记,iTunes 现在提供了来自各个主流大学的大量数学讲座(和其他科目),而且全部免费。

Don't forget that iTunes now has available a load of maths lectures (and other subjects) from various mainstream universities - and all for free.

一影成城 2024-07-12 17:42:36

自从提出这个问题以来已经有几年了,但现在有许多新的网站和资源可用:

  • 可汗学院最初是为小学生设计的,但后来已经扩展到包括大学一年级课程中不会不合适的材料。 它是回顾和修复基础知识的好方法。 它有视频和练习,并跟踪您的进度。

  • EdX 是 MIT 开放课件等计划的演变。 它现在是麻省理工学院、伯克利分校和斯坦福大学等大学的联盟,提供免费的在线大学水平课程,并提供视频教学和学习材料。 我唯一的抱怨是他们的一些课程有先决条件(例如单变量微积分),您需要在其他地方学习,例如 Coursera 或原始的 MIT OpenCourseWare 网站。

  • Coursera 提供的课程比 EdX 更多,其中许多课程都比较基础,涵盖初级代数和初级等主题-结石。 学习界面不像 EdX 那样酷(它在大多数视频旁边提供可滚动的字幕界面),但涵盖基础知识的更广泛的主题和课程提供了您在 EdX 上找不到的学习内容。

It's a couple of years since this question has been asked, but there are a number of new sites and resources available now:

  • Khan Academy was originally intended for schoolkids, but it has since expanded to include material that would not be out of place in first-year university courses. It serves as a great way to review and fix fundamentals. It has videos and practice exercises, and keeps track of your progress.

  • EdX is an evolution of initiatives like MIT Open Courseware. It's now an alliance of universities like MIT, Berkeley and Stanford that offer free online university level courses, with video instruction and learning materials. My only complaint is that some of their courses have prerequisites (like single-variable calculus) that you need to pick up elsewhere, like Coursera, or the original MIT OpenCourseWare site.

  • Coursera offers more courses than EdX, and many of them are more basic, covering topics like pre-algebra and pre-calculus. The learning interface is not quite as cool as EdX's (which offers a scrollable captioning interface alongside most of it's videos), but the broader range of topics and courses covering fundamentals offers learning you just won't find on EdX.

皇甫轩 2024-07-12 17:42:36

许多大学实际上会在网上发布他们的讲座材料。 所以你真正需要做的就是找到一个合适的科目,然后阅读讲座材料并做相关的工作。 如果你真的很狡猾,你也可以去教程寻求帮​​助:P

A lot of the universities will actually publish their lecture materials online. So all you really need to do is find a suitable subject and then read the lecture materials and do the associated work. If you were really sneaky you could probably also go to the tutorials to get help :P

各自安好 2024-07-12 17:42:36

从 www.aduni.org 获取一些视频

数学课程

Get some videos from www.aduni.org

Math courses

我的奇迹 2024-07-12 17:42:36

如果您无法参加数学课程,我建议您阅读带有良好教程的书籍。 对于计算机科学相关的数学,Don Knuth 的 具体数学 非常好。

显然没有什么可以取代好老师,但好的教程可以非常接近。 我认为您确实可以在教程中学习该主题。

I suggest books with good tutorials throughout if you're unable to partake in a maths course. For computer science-related maths Don Knuth's Concrete Mathematics is meant to be very good.

Obviously nothing can replace a good teacher, but good tutorials can come pretty damn close. You really get to learn the subject in the tutorials I think.

江城子 2024-07-12 17:42:36

我会很无聊,建议实际参加大学数学课程。
如果没有助手的讲座和课程,我知道我永远无法学到这么多东西。 我只需要某种动力,因为高等数学真的很难。

也就是说,如果您正在寻找非常先进的东西并且实际上想要深入了解并且不想处理数字。 处理数字是我们拥有 MATLAB 的原因;)

如果知道您的数学水平以及您想用它做什么,那就太好了。 但我认为微积分、线性代数和离散数学是最有用的课程。

I will be boring and recommend actually taking university courses in math.
Without lectures and lessons with an assistant I know I would never be able to learn as much as I have. I just need some kind of motivation, since higher math is really hard.

That is, if you are looking for quite advanced stuff and actually want to get a deep understanding and don't want to crunch numbers. Crunching numbers is why we have MATLAB ;)

It would be good to know what level of math you have, and what you want to do with it. But I guess calculus, linear algebra and discrete math are the most useful courses to take.

趴在窗边数星星i 2024-07-12 17:42:36

如果您想训练数论和离散数学,我推荐Project Euler。 有很多有趣的练习,但您需要了解一些编程知识。

I recommend Project Euler if you want to train number theory and discrete maths. Lots of fun exercises, though you need to know a bit of programming.

沐歌 2024-07-12 17:42:36

Steve Yegge 有一篇很好的博客文章程序员的数学

引用其中部分内容:

“但是我最近学到的一些事情可能会让你感到惊讶:

  1. 当您知道如何编程后,学习数学就会容易得多。 事实上,如果您是一名还算不错的程序员,您会发现这几乎是轻而易举的事情。

  2. 他们在学校教的数学全错了。 方式,完全错误。 如果您以正确的方式自学数学,您会学得更快,记住的时间更长,并且对于作为程序员的您来说会更有价值。

  3. 即使了解一点正确的数学知识,也可以让您编写一些非常有趣的程序,否则这些程序就太难了。 换句话说,数学是你可以在有空闲时间时一次学一点的东西。

  4. 没有人了解所有数学,即使是最好的数学家。 随着人们发明新的形式主义来解决自己的问题,这个领域正在不断扩大。 对于任何给定的数学问题,就像编程一样,有不止一种方法可以解决。 您可以选择您最喜欢的一个。

  5. 数学是...嗯,请不要告诉任何人我说过这句话; 只要我活着,我就永远不会被邀请参加其他聚会。 但是数学,嗯……我最好小声说一下,所以听着:(这实际上有点有趣。)”

Steve Yegge had a good blog post Math for programmers

Quoting some of it:

"But a few things I've learned recently might surprise you:

  1. Math is a lot easier to pick up after you know how to program. In fact, if you're a halfway decent programmer, you'll find it's almost a snap.

  2. They teach math all wrong in school. Way, WAY wrong. If you teach yourself math the right way, you'll learn faster, remember it longer, and it'll be much more valuable to you as a programmer.

  3. Knowing even a little of the right kinds of math can enable you do write some pretty interesting programs that would otherwise be too hard. In other words, math is something you can pick up a little at a time, whenever you have free time.

  4. Nobody knows all of math, not even the best mathematicians. The field is constantly expanding, as people invent new formalisms to solve their own problems. And with any given math problem, just like in programming, there's more than one way to do it. You can pick the one you like best.

  5. Math is... ummm, please don't tell anyone I said this; I'll never get invited to another party as long as I live. But math, well... I'd better whisper this, so listen up: (it's actually kinda fun.)"

深巷少女 2024-07-12 17:42:36

这取决于你的数学水平。 你应该首先复习到目前为止你应该知道的知识,然后进一步学习算法、数学、几何(变换等)、统计等等。

互联网上有很多地方可以学习:

http://www.math .cornell.edu/Courses/courses.html

http: //ocw.mit.edu/OcwWeb/web/courses/courses/index.htm

http:// mathworld.wolfram.com/

并且列表已打开。

It depends on your math level. You should start by revising what you should know till that moment and then go further to algorithm mathmatics, geometry (transforms and etc), statistics and more.

There are tons of places on the internet were you can learn:

http://www.math.cornell.edu/Courses/courses.html

http://ocw.mit.edu/OcwWeb/web/courses/courses/index.htm

http://mathworld.wolfram.com/

and the list is open.

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