Discrete Mathematics Tutorial | Learn Sets, Logic, Graphs & More

Explore our Discrete Mathematics Tutorial, covering both basic and advanced concepts for beginners and professionals. Learn key topics like Sets, Relations, Functions, Mathematical Logic, Group Theory, Counting Principles, Probability, Graph Theory, Trees, and Boolean Algebra. Gain a strong foundation in discrete structures and their applications in computing and mathematics. 🚀

Discrete Mathematics Tutorial

Our Discrete Mathematics Tutorial covers both basic and advanced concepts, making it suitable for beginners and professionals alike.

What is Discrete Mathematics?

Discrete mathematics is a branch of mathematics that deals with distinct and separate values. It includes important topics such as Sets, Relations, Functions, Mathematical Logic, Group Theory, Counting Principles, Probability, Graph Theory, Trees, and Boolean Algebra.

Prerequisites

Before starting this Discrete Mathematics tutorial, you should have a basic understanding of elementary algebra and mathematics.

Who Can Learn From This Tutorial?

This tutorial is ideal for students and professionals in computer science and mathematics who want to strengthen their understanding of discrete mathematics.

Facing Any Issues?

We strive to provide accurate and error-free content. If you encounter any issues, feel free to reach out via our contact form.

Discrete Mathematics

• Discrete Mathematics Home
• Discrete Mathematics Tutorial
• Sets Introduction
• Types of Sets
• Sets Operations
• Algebra of Sets
• Multisets
• Inclusion-Exclusion Principle
• Mathematical Induction
• Binary Relation
• Representation of Relations
• Composition of Relations
• Types of Relations
• Closure Properties of Relations
• Equivalence Relations
• Partial Ordering Relations
• Functions
• Types of Functions
• Identity Functions
• Compositions of Functions
• Mathematical Functions
• Algorithms and Functions
• Propositions and Compound Statements
• Basic Logical Operations
• Conditional and Biconditional Statements
• Tautologies and Contradiction
• Predicate Logic
• Normal Forms
• Basic Counting Principles
• Permutation and Combinations
• Pigeonhole Principle
• Recurrence Relations
• Linear Recurrence Relations with Constant Coefficients
• Particular Solution
• Total Solution
• Generating Functions
• Probability
• Addition Theorem
• Multiplication Theorem
• Conditional Probability
• Introduction of Graphs
• Types of Graphs
• Representation of Graphs
• Isomorphic and Homeomorphic Graphs
• Regular and Bipartite Graphs
• Planar and Non-Planar Graphs
• Dijkstra's Algorithm
• Travelling Salesman Problem
• Introduction of Trees
• Binary Trees
• Traversing Binary Trees
• Binary Search Trees
• Minimum Spanning Tree
• Binary Operation
• Properties of Binary Operations
• Semigroup
• Group
• Subgroup
• Normal Subgroup
• Partially Ordered Sets
• Hasse Diagrams
• Lattices
• Boolean Algebra
• Boolean Expression
• Canonical Forms
• Logic Gates and Circuits
• Karnaugh Maps
• Proof of De Morgan's Law
• Discrete Mathematics for Computer Science
• Abelian Groups
• Applications of Discrete Mathematics in Computer Science
• Rings
• Order of Group
• Principle of Duality
• Atomic Propositions
• Applications of Trees
• Quantifiers
• Algebraic Structures
• Counting Principle
• Bijective Function
• Multinomial Theorem
• Lagrange's Mean Value Theorem
• Cauchy's Mean Value Theorem
• Rolle's Mean Value Theorem
• Semantic Difference Between Set and Type
• Application of Group Theory
• Directed and Undirected Graphs
• Bayes' Formula for Conditional Probability
• Function vs. Relation
• Recursive Functions
• Arguments
• Elementary Matrix
• Hypergeometric Distribution
• Regular Grammar
• Prime Number
• Peano Axioms
• Monomorphism and Epimorphism
• Properties of Sets
• Principal Ideal Domain in Discrete Mathematics
• Probable Error Formula for Discrete Mathematics
• Hypergraph and its Representation in Discrete Mathematics
• Hashing Function in Discrete Mathematics
• Doolittle Algorithm (LU Decomposition)
• RSA Encryption in Discrete Mathematics
• Introduction to Mojette Transform
• Negation in Discrete Mathematics
• Hamiltonian Graph in Discrete Mathematics
• Relationship Between Number of Nodes and Height of Binary Tree
• Independent Events in Probability
• Repeated Trials in Probability
• Betweenness Centrality
• Inference Theory in Discrete Mathematics
• Tautology in Discrete Mathematics
• Walks, Trails, Paths, Circuits, and Cycles in Discrete Mathematics
• Associative Law in Discrete Mathematics
• Conjunction in Discrete Mathematics
• Distributive Law of Multiplication
• Proof by Contradiction in Discrete Mathematics
• Chromatic Number of Graphs (Graph Coloring in Graph Theory)
• How to Find Chromatic Number (Graph Coloring Algorithm)
• Chromatic Polynomial in Discrete Mathematics
• Identity Function in Discrete Mathematics
• Injective Function in Discrete Mathematics
• Many-to-One Function in Discrete Mathematics
• Surjective Function in Discrete Mathematics
• Inverse Function in Discrete Mathematics
• Sampling and Inference
• Constant Function in Discrete Mathematics
• Graphing Functions in Discrete Mathematics
• Continuous Functions in Discrete Mathematics
• Linear Function in Discrete Mathematics
• Complement of Graph in Discrete Mathematics
• Graph Isomorphism in Discrete Mathematics
• Euler Graph in Discrete Mathematics
• Planar Graph in Discrete Mathematics
• Bipartite Graph in Discrete Mathematics
• Handshaking Theory in Discrete Mathematics
• Königsberg Bridge Problem in Discrete Mathematics
• What is Incidence Matrix in Discrete Mathematics
• Implication in Discrete Mathematics
• Incident Coloring in Discrete Mathematics
• Biconditional Statement in Discrete Mathematics
• In-Degree and Out-Degree in Discrete Mathematics
• Law of Logical Equivalence in Discrete Mathematics
• Graph Theory in Discrete Mathematics
• Discrete Infinite Groups
• Independent Set in Discrete Mathematics
• Inverse of a Matrix in Discrete Mathematics
• Inverse Property in Discrete Mathematics
• Irrational Number in Discrete Mathematics
• Linear Graph in Discrete Mathematics
• Linear Equations vs. Non-Linear Equations
• Lagrange Theorem in Discrete Mathematics
• Linear Equations in Discrete Mathematics
• Limitation and Propositional Logic and Predicates
• Non-Linear Function in Discrete Mathematics
• Lexicographic Orders
• Graph Measurements in Discrete Mathematics
• Language and Grammar in Discrete Mathematics
• Logical Connectives in Discrete Mathematics
• Propositional Logic in Discrete Mathematics
• Conditional and Bi-Conditional Connectivity
• Problems Based on Converse, Inverse, and Contrapositive
• Nature of Propositions in Discrete Mathematics
• PDNF and PCNF in Discrete Mathematics
• Linear Correlation in Discrete Mathematics
• Equivalence of Formula in Discrete Mathematics
• Discrete Time Signals in Discrete Mathematics
• M-Array Tree in Discrete Mathematics
• Matrix in Discrete Mathematics
• Type of Matrices in Discrete Mathematics
• Column Matrix in Discrete Mathematics
• Zero Matrix in Discrete Mathematics
• Rectangular Matrix in Discrete Mathematics
• Row Matrix in Discrete Mathematics
• Square Matrix in Discrete Mathematics
• Diagonal Matrix in Discrete Mathematics
• Singular Matrix in Discrete Mathematics
• Non-Singular Matrix in Discrete Mathematics
• Order of Matrix in Discrete Mathematics
• Hermitian Matrix in Discrete Mathematics
• Skew-Hermitian Matrix in Discrete Mathematics
• Skew-Symmetric Matrix in Discrete Mathematics
• Symmetric Matrix in Discrete Mathematics
• Orthogonal Matrix in Discrete Mathematics
• Determinants in Discrete Mathematics
• Discrete Mathematics MCQ
• Discrete Mathematics Functions Questions and Answers