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Sets: Basic Definitions and Operations, High school final essays of Mathematics

Mathematics

This document introduces the concept of sets, which is one of the most fundamental and frequently used mathematical concepts. It covers basic definitions and properties of sets, operations on sets such as union, intersection, difference, and Cartesian product of sets. The document also includes examples and theorems related to sets. The main goal of the chapter is to investigate the properties of sets from the most general point of view.

Typology: High school final essays

2019/2020

Available from 01/20/2022

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: Chapter 3 Sets 3.1 Introduction The notion of a set is one of the.most fundamental and most fre- | quently used mathematical concept. In-every field of mathematics we have to deal with sets such as the set of natural numbers, .the set. of real numbers, the set of complex numbers, the set of con- _ tinuous functions and so forth. In calculus we deal with sets of functions or curves, in geometry we deal with sets whose elements : are points; on the other hand, in the theory of sets we are con- _ Cerned with the general properties of sets independently. of the o nature of the elements which comprise these sets. OF