Book Image

Practical Discrete Mathematics

By : Ryan T. White, Archana Tikayat Ray
Book Image

Practical Discrete Mathematics

By: Ryan T. White, Archana Tikayat Ray

Overview of this book

Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you’ll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you’ll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you’ll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning.
Table of Contents (17 chapters)
1
Part I – Basic Concepts of Discrete Math
7
Part II – Implementing Discrete Mathematics in Data and Computer Science
12
Part III – Real-World Applications of Discrete Mathematics

Chapter 1: Key Concepts, Notation, Set Theory, Relations, and Functions

This chapter is a general introduction to the main ideas of discrete mathematics. Alongside this, we will go through key terms and concepts in the field. After that, we will cover set theory, the essential notation and notions for referring to collections of mathematical objects and combining or selecting them. We will also think about mapping mathematical objects to one another with functions and relations and visualizing them with graphs.

In this chapter, we will cover the following topics:

  • What is discrete mathematics?
  • Elementary set theory
  • Functions and relations

By the end of the chapter, you should be able to speak in the language of discrete mathematics and understand notation common to the entire field.

Important Note

Please navigate to the graphic bundle link to refer to the color images for this chapter.