Complete Discrete Mathematics Guide

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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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This tutorial has been prepared for students pursuing a degree in any field of computer science and mathematics. It endeavors to help students grasp the essential concepts of discrete mathematics.

Topics in Discrete Mathematics

Though there cannot be a definite number of branches of Discrete Mathematics, the following topics are almost always covered in any study regarding this matter −

Discrete Mathematics - Introduction

Sets, Relations, & Functions

Discrete Mathematics - Sets

Discrete Mathematics - Relations

Discrete Mathematics - Functions

Mathematical Logic

Propositional Logic

Predicate Logic

Rules of Inference

Group Theory

Operators & Postulates

Group Theory

Counting & Probability

Counting Theory

Probability

Mathematical & Recurrence

Mathematical Induction

Recurrence Relation

Discrete Structures

Graph & Graph Models

More on Graphs

Introduction to Trees

Spanning Trees

Boolean Algebra

Boolean Expressions & Functions

Simplification of Boolean Functions

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