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Sets can be described in a number of different ways: by roster, by set-builder notation, by interval notation, by graphing on a number line, and by Venn diagrams. Sets are typically designated with capital letters.
- 1.1: Basic Concepts of Set Theory
Intuitively, a set is a collection of objects with certain...
- 1: Sets
Applied Mathematics Contemporary Mathematics (OpenStax) 1:...
- 1.1: Basic Concepts of Set Theory
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 \(a \in A\).
Sets are the fundamental property of mathematics. Now as a word of warning, sets, by themselves, seem pretty pointless. But it's only when we apply sets in different situations do they become the powerful building block of mathematics that they are.
Basic set theory concepts and notation. At its most basic level, set theory describes the relationship between objects and whether they are elements (or members) of a given set. Sets are also objects, and thus can also be related to each other typically through use of various symbols and notations.
Set Theory Andrew Marks October 8, 2021 These notes cover introductory set theory. Starred sections below are op-tional. They discuss interesting mathematics connected to concepts covered in the course. Thanks to Cecelia Higgins, Jacob Manaker, Forte Shinko, Marlon Trifunovic, Spencer Unger, and Eric Wang, for corrections and helpful conver-
Set theory is a branch of mathematics that studies sets, which are essentially collections of objects. For example \(\{1,2,3\}\) is a set, and so is \(\{\heartsuit, \spadesuit\}\).
Applied Mathematics Contemporary Mathematics (OpenStax) 1: Sets Expand/collapse global location 1: Sets ... 1.2: Basic Set Concepts; 1.3: Subsets; 1.4: Understanding Venn Diagrams; 1.5: Set Operations with Two Sets; 1.6: Set Operations with Three Sets; 1.7: Chapter Summary.
