## Discrete Mathematics Handwritten Notes PDF

Topics in our Discrete Mathematics Handwritten Notes PDF

In these “Discrete Mathematics Handwritten Notes PDF”, you will study 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.

The topics we will cover in these Discrete Mathematics Handwritten Notes PDF will be taken from the following list:

Introduction: Sets – finite and infinite sets, uncountable infinite sets; functions, relations, properties of binary relations, closure, partial ordering relations; counting – Pigeonhole Principle, permutation and combination; mathematical induction, Principle of Inclusion and Exclusion.

Growth of Functions: asymptotic notations, summation formulas, and properties, bounding summations, approximation by integrals.

Recurrence: recurrence relations, generating functions, linear recurrence relations with constant coefficients and their solution, recursion trees, Master Theorem

Graph Theory: basic terminology, models and types, multi-graphs and weighted graphs, graph representation, graph isomorphism, connectivity, Euler and Hamiltonian Paths and Circuits, planar graphs, graph coloring, Trees, basic terminology and properties of Trees, introduction to spanning trees.

Propositional Logic: logical connectives, well-formed formulas, tautologies, equivalences, Inference Theory. Discrete Mathematics Handwritten Notes PDF
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College: KMV (DU) Discrete Mathematics Handwritten Notes PDF
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## What is Discrete Structures ?

Discrete Structures 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.

## What is the difference between Continuous and Discrete Mathematics ?

• Continuous Mathematics − It is based upon continuous number line or the real numbers. It is characterized by the fact that between any two numbers, there are almost always an infinite set of numbers. For example, a function in continuous mathematics can be plotted in a smooth curve without breaks.
• Discrete Mathematics − It involves distinct values; i.e. between any two points, there are a countable number of points. For example, if we have a finite set of objects, the function can be defined as a list of ordered pairs having these objects, and can be presented as a complete list of those pairs.

## What is a Set?

A Set is an unordered collection of objects, known as elements or members of the set.
An element ‘a’ belong to a set A can be written as ‘a ∈ A’, ‘a ∉ A’ denotes that a is not an element of the set A.

## What are Equal sets?

Two sets are said to be equal if both have same elements. For example A = {1, 3, 9, 7} and B = {3, 1, 7, 9} are equal sets.

## What is a Subset?

A set A is said to be subset of another set B if and only if every element of set A is also a part of other set B.

## What is a Power set?

The power set is the set all possible subset of the set S. Denoted by P(S).

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