And at the end of the second lecture, we will be talking about this application into cryptography. So number theory got used actually in cryptography only about 40 years ago. So number theory got- Oh, there's some more over here. And what are the integers? Well, these are the numbers 0, 1, 2 3, and so on. So what this number theory- it's actually the study of the integers. And only recently it actually got to have some more practical applications. One of the oldest mathematical disciplines. Well, first of all, it's a very old science. But we will use the same concepts as you have learned before, like induction, and invariance, stuff like that, to prove whole theorems. And this is a really different way of thinking, actually. So today we're going to talk about number theory. And we will be using these throughout the lecture. Please raise you hand if you don't have any, then one of us can actually come over and hand you out this sheet, which contain some facts about the visibility. Actually, before I forget, there are some handouts at the very back. We are going to talk about number theory. To make a donation, or view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. The following content is provided under a Creative Commons license.
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