Essential concepts of set theory

Robert Sing Yen WONG, Man Wai YUEN

Research output: Book/ReportBook

Abstract

For thousands of years, it is generally believed that mathematics begins with the natural numbers and counting. But there is something more fundamental than counting. It is the grouping of things. If a child is shown a picture of a farm with sheep and cows here and there and asked to count the number of sheep, the child would first put the sheep in a group mentally and then count the number of sheep in the group. Without grouping, counting cannot happen. Therefore, mathematics begins with the grouping of objects, which is the object of study of set theory. In this book, we explore the fundamental concepts of sets and related topics: propositional logic, methods of proof, relations and functions. Unlike the technical approach adopted in most books, we use many everyday examples to show that these concepts can be found everywhere in our daily life. The book also has plenty of exercises and solutions to all exercises are provided. Copyright © 2016 Hong Kong Educational Publishing Company.
Original languageEnglish
PublisherHong Kong Educational Publishing Company
ISBN (Print)9789882365841
Publication statusPublished - 2016

Fingerprint

Set Theory
Grouping
Counting
Exercise
Count
Propositional Logic
Natural number
Thing
Concepts
Children
Object

Citation

Wong, R. S. Y., & Yuen, M.-w. (2016). Essential concepts of set theory. Hong Kong: Hong Kong Educational Publishing Company.