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The basic set theory is the branch of mathematics where we learn about the collection of objects, called sets. These objects are known as elements or members of sets. Types of set theory and examples at BYJU’S.
- Union of Sets
In mathematics, we perform certain operations like addition,...
- Complement of Sets
Venn Diagram for the Complement of a set. The Venn diagram...
- Sets
In Maths, sets a well-defined collection of objects or...
- Union of Sets
In Maths, sets a well-defined collection of objects or elements, where the order of sets does not matter. Learn representation of sets, types of sets, formulas, operations on sets at BYJU’S.
Set theory symbols are used for various set operations such as intersection symbol, union symbol, subset symbol, etc. Visit BYJU'S to learn more about set theory symbols.
• Set theory Definition of set: A set is a well-defined collection of objects. Let us consider the following examples 1. A collection of all the chapters in your grade 11 mathematics book. 2. A collection of all the difficult chapters in grade 11 mathematics book.
Sets are used to define the concepts of relations and functions. The study of geometry, sequences, probability, etc. requires the knowledge of sets. The theory of sets was developed by German mathematician Georg Cantor (1845-1918). He first encountered sets while working on “problems on trigonometric series”.
18 Νοε 2024 · Set Theory is a branch of logical mathematics that studies the collection of objects and operations based on it. A set is simply a collection of objects or a group of objects. For example, a group of players in a football team is a set and the players in the team are its objects. The words collection, aggregate, and class are synonymous with set.
Intuitively, a set is a collection of objects with certain properties. The objects in a set are called the elements or members of the set. We usually use uppercase letters to denote sets and lowercase letters to denote elements of sets. If a is an element of set A, we write a ∈ A. If a is not an element of a set A, we write a ∉ A.
