This text explains how to use mathematical models and methods to analyze prob­ lems that arise in computer science. Proofs play a central role in this work because the authors share a belief …

This text explains how to use mathematical models and methods to analyze prob-lems that arise in computer science. The notion of a proof plays a central role in this work.

Now, you may be wondering what marriage has to do with computer science, and with good reason. It turns out that the techniques we will develop apply to much more general scenarios …

It is frmly a computer science topic, and it uses all sorts of extraordinary math, stuf you would have never thought would have any application at all. Like... modular arithmetic!

• In mathematics: Defnition 1. A mathematical proof is a verifcation of a proposition by a chain of logical deductions from a base set of axioms. Over the next two lectures, we will delve into …

6.1200J Mathematics for Computer Science Spring 2024 For information about citing these materials or our Terms of Use, visit: https://ocw.mit.edu/terms

5 Proof by Induction Induction is probably the most common and most powerful proof technique in computer science. Let’s start with an example to build intuition.

Recurrences are one aspect of a broad theme in computer science: reducing a big problem to progressively smaller problems until easy base cases are reached. This same idea underlies …

6.1200J Mathematics for Computer Science Spring 2024 For information about citing these materials or our Terms of Use, visit: https://ocw.mit.edu/terms

The crux of the paper was an elegant way to model a computer in mathematical terms. This was a breakthrough, because it allowed the tools of mathematics to be brought to bear on questions …