- Discrete Mathematics - Home
- Discrete Mathematics Introduction
- Mathematical Statements and Operations
- Atomic and Molecular Statements
- Implications
- Predicates and Quantifiers
- Sets
- Sets and Notations
- Relations
- Operations on Sets
- Venn Diagrams on Sets
- Functions
- Surjection and Bijection Functions
- Image and Inverse-Image
- Mathematical Logic
- Propositional Logic
- Logical Equivalence
- Deductions
- Predicate Logic
- Proof by Contrapositive
- Proof by Contradiction
- Proof by Cases
- Rules of Inference
- Group Theory
- Operators & Postulates
- Group Theory
- Algebric Structure for Groups
- Abelian Group
- Semi Group
- Monoid
- Rings and Subring
- Properties of Rings
- Integral Domain
- Fields
- Counting & Probability
- Counting Theory
- Combinatorics
- Additive and Multiplicative Principles
- Counting with Sets
- Inclusion and Exclusion
- Bit Strings
- Lattice Path
- Binomial Coefficients
- Pascal's Triangle
- Permutations and Combinations
- Pigeonhole Principle
- Probability Theory
- Probability
- Sample Space, Outcomes, Events
- Conditional Probability and Independence
- Random Variables in Probability Theory
- Distribution Functions in Probability Theory
- Variance and Standard Deviation
- Mathematical & Recurrence
- Mathematical Induction
- Formalizing Proofs for Mathematical Induction
- Strong and Weak Induction
- Recurrence Relation
- Linear Recurrence Relations
- Non-Homogeneous Recurrence Relations
- Solving Recurrence Relations
- Master's Theorem
- Generating Functions
- Graph Theory
- Graph & Graph Models
- More on Graphs
- Planar Graphs
- Non-Planar Graphs
- Polyhedra
- Introduction to Trees
- Properties of Trees
- Rooted and Unrooted Trees
- Spanning Trees
- Graph Coloring
- Coloring Theory in General
- Coloring Edges
- Euler Paths and Circuits
- Hamiltonion Path
- Boolean Algebra
- Boolean Expressions & Functions
- Simplification of Boolean Functions
- Advanced Topics
- Number Theory
- Divisibility
- Remainder Classes
- Properties of Congruence
- Solving Linear Diophantine Equation
- Useful Resources
- Quick Guide
- Useful Resources
- Discussion
Discuss Discrete Mathematics
Discrete Mathematics is a branch of mathematics involving discrete elements that uses algebra and arithmetic. It is increasingly being applied in the practical fields of mathematics and computer science. It is a very good tool for improving reasoning and problem-solving capabilities. This tutorial explains the fundamental concepts of Sets, Relations and Functions, Mathematical Logic, Group theory, Counting Theory, Probability, Mathematical Induction and Recurrence Relations, Graph Theory, Trees and Boolean Algebra.
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