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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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