Equivalence Relations, Well-Definedness, Modular Arithmetic, and
... Modern mathematics is built upon the foundations of set theory. What this means, is that everything in mathematics is really a set. This includes numbers, ordered pairs, relations (as we saw in class), and functions. We often don’t think of these objects as sets, but they must be defined as sets so ...
... Modern mathematics is built upon the foundations of set theory. What this means, is that everything in mathematics is really a set. This includes numbers, ordered pairs, relations (as we saw in class), and functions. We often don’t think of these objects as sets, but they must be defined as sets so ...
Chapter 5: Understanding Integer Operations and Properties
... 5.1 Addition, Subtraction, and Order Properties of Integers 5.1.1. Integer Uses and Basic Ideas 5.1.1.1. Definition of Integers: The set of integers, I (more often seen as Z), consists of the positive integers (the Natural numbers N), the negative integers (the opposites of the Natural numbers), and ...
... 5.1 Addition, Subtraction, and Order Properties of Integers 5.1.1. Integer Uses and Basic Ideas 5.1.1.1. Definition of Integers: The set of integers, I (more often seen as Z), consists of the positive integers (the Natural numbers N), the negative integers (the opposites of the Natural numbers), and ...