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Learn about the basic concepts and topics of discrete mathematics, the study of mathematical structures that are fundamentally discrete rather than continuous. Find definitions, examples, and links to related disciplines and fields of discrete mathematics.
Discrete mathematics is the study of mathematical structures that can be considered discrete, such as integers, graphs, and logic statements. It has applications in computer science, information theory, and theoretical computer science.
A lattice is a partially ordered set with a unique supremum and infimum for every pair of elements. Learn how to define and characterize lattices as order-theoretic or algebraic structures, and see some examples of bounded and unbounded lattices.
Schaum's Outlines is a series of supplementary texts for various academic subjects, published by McGraw-Hill Education. Learn about the history, features, and comparison of this series with other educational supplements.
Numerical analysis is the study of algorithms that use numerical approximation for solving problems of mathematical analysis. It has applications in engineering, science, finance, medicine and other fields, and uses direct and iterative methods to find approximate solutions.
A finite field is a set with a finite number of elements that satisfies the field axioms. Learn how to construct finite fields of order pk, where p is a prime number and k is a positive integer, and how they are used in various fields of mathematics and computer science.
A graph is a structure consisting of vertices and edges that represent some relations between objects. Learn about different types of graphs, such as simple, multigraphs, directed, and weighted graphs, and their characteristics.
Discrete geometry is a branch of geometry that studies combinatorial properties and constructive methods of discrete geometric objects, such as points, lines, circles, polygons, and so forth. Learn about its history, topics, applications, and related fields from this comprehensive article.