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Part III Numbers and Counting

In this part of the notes we bring together some topics from the first two parts. In Chapter 9 we use functions to define the cardinality of sets, talk about the cardinality of infinite sets. Chapter 10 is about special integers namely prime numbers, We introduce prime numbers using divisibility and talk about factorization. We show that there are infinitely many prime numbers and present the Twin Prime Conjecture. The Twin Prime Conjecture is a mathematical statement that is believed to be true, but has not been proven yet. In Chapter 11 we discuss different representations of integers. In Chapter 12 we apply the representation of integers in other bases in the encoding of colors, images, and text.