August 2008
Beginner to intermediate
568 pages
12h 1m
English
Content preview from Discrete Mathematics and Combinatorics
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CHAPTER 7
Number Theory
Learning Objectives
On completing this chapter, you should be able to:
state the definitions of a factor and a multiple of an integer
state and prove the division algorithm
define the ideas of the greatest common divisor (gcd) and the least common multiple (lcm)
define a pair of relatively prime numbers
use the Euclidean algorithm to find the gcd
find the gcd and lcm of pairs of numbers by prime factorization
define a prime number
define congruence classes and congruence relations
solve linear congruence equations for small numbers
state and prove Fermat's theorem and its generalization due to Euler
7.1 INTRODUCTION AND MOTIVATION
There was a time when Number Theory was considered a very pure subject in the sense ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.