Discrete Mathematics

for New Technology

Rowan Garnier, John Taylor

• Publisher: CRC Press
• Year: 2020
• eBook ISBN: 9781000157307
• Topic: Physical Sciences
• Subtopic: Physics
• Index: Physics

In a comprehensive yet easy-to-follow manner, Discrete Mathematics for New Technology follows the progression from the basic mathematical concepts covered by the GCSE in the UK and by high-school algebra in the USA to the more sophisticated mathematical concepts examined in the latter stages of the book. The book punctuates the rigorous treatment of theory with frequent uses of pertinent examples and exercises, enabling readers to achieve a feel for the subject at hand. The exercise hints and solutions are provided at the end of the book. Topics covered include logic and the nature of mathematical proof, set theory, relations and functions, matrices and systems of linear equations, algebraic structures, Boolean algebras, and a thorough treatise on graph theory. Although aimed primarily at computer science students, the structured development of the mathematics enables this text to be used by undergraduate mathematicians, scientists, and others who require an understanding of discrete mathematics.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• Preface
• List of Symbols
• Chapter 1: Logic
• Chapter 2: Mathematical Proof
• Chapter 3: Sets
• Chapter 4: Relations
• Chapter 5: Functions
• Chapter 6: Matrix Algebra
• Chapter 7: Systems of Linear Equations
• Chapter 8: Algebraic Structures
• Chapter 9: Boolean Algebra
• Chapter 10: Graph Theory
• Chapter 11: Applications of Graph Theory
• References and Further Reading
• Hints and Solutions to Selected Exercises
• Index