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Pankaj Kumar

This course contains the fundamental behavior of Real Numbers as a Ordered field Structure, Archimean Properties and Fundamental of Real Analysis.

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

Hindi

(Hindi) Real Analysis (Course - 01) Fundamental Behavior of Real Numbers

Sets & Number System

Analysis

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

A beautiful introduction to Real Analysis and it's behavior and properties.

Introduction to Real Analysis (in Hindi)

Bounded above sets with Examples for the Subsets of Real Numbers.

Bounded Above Set (in Hindi)

Supremum or least upper bound of Subsets of Real Numbers has discussed with Examples.

Supremum (Least Upper Bound) of a Subset of the Real Numbers (in Hindi)

Bounded below Subsets of Real Numbers has discussed.

Bounded below Subsets of Real Numbers (in Hindi)

Bounded Subsets of Real Numbers has discussed with many important graphical examples.

Bounded Subsets of Real Numbers (in Hindi)

Greatest lower Bound with Examples has discussed beautifully with Examples.

Greatest Lower Bound or Infimum

Method to get g.lb(Infimum)
 And l.u.b( Supremum ) has discussed beautifully with Examples.

Method to get infimum and Supremum

Supremum and Infimum of Subsets of Real Numbers has discussed beautifully with Examples .

Infimum & Supremum of Some more Subsets of Real Numbers

Archimedean property with Examples and Applications.

Archimedean Property in Real Analysis

Properties has proved by Archimedean property & Neighborhood with Examples has discussed beautifully.

Properties & Neighborhood of Real Numbers

Examples of Neighborhood has discussed beautifully with Examples.

Examples of Neighborhood of Subsets of Real Numbers.

CSIR-UGC-NET 2016,2017 MSQ, SECTION-C HAS DISCUSSED BEAUTIFULLY.

CSIR-UGC-NET 2016 & 2017, MSQ, 4.75 MARKS QUESTION DISCUSSED

Open Set in Real Analysis has discussed with various Examples.

Open Sets in Real Analysis

Problems asked in CsirUgcNet in Real Analysis has discussed beautifully.

CsirUgcNet PROBLEMS on Real Analysis, Part-01

CsirUgcNet 2013 problems has DISCUSSED BEAUTIFULLY

CsirUgcNet PROBLEMS in Real Analysis

Closed set and limit points of a set in Real Analysis

Closed sets and Limit points of a set in Real Analysis

Isolated Points and it's examples has discussed beautifully.

Isolated Points and Examples

Adherent Point and it's Properties has discussed beautifully

Adherent Point and it's Properties in Real Analysis

Closure of a set has found by using examples

Examples of adherent Point

Dense Sets in Real Analysis has discussed with Examples.

Dense Set in Real Analysis

Interior Points and it's Properties has discussed

Interior Points in Real Analysis

Properties of Interior Points in Real Analysis , Part-02

Examples of Sets with it's Interior Points

Boundry Points with Examples has discussed beautifully in Real Analysis

Boundry Points in Real Analysis

Properties of Boundry in Real Analysis has discussed beautifully

Properties of Boundry Points in Real Analysis

Connected Sets in Real Analysis has discussed beautifully with Examples

Connected Sets in Real Analysis

Connectedness for Topological space has discussed beautifully

Connectedness in Real Analysis

Path-Connectedness has DISCUSSED BEAUTIFULLY with Examples

Path Connectedness with Examples

Csir net Question on Connectedness has discussed beautifully

CSIR-NET Problems on Connectedness

CSIR NET Problem on Connectedness , part-02, 2012 , 4.75 marks

CSIR-NET PROBLEMS on Connectedness , Part-02

Functions and it's definition
 has DISCUSSED BEAUTIFULLY

Functions and it's Properties,Part-01

To find no of One one function and Many One Function

Functions and it's Properties, Part:-02

Csir net Problems on Functions and it's Properties has discussed beautifully

CsirUgcNet PROBLEMS on Functions and it's Properties

CSIR NET Problem on Properties of the Function has DISCUSSED BEAUTIFULLY

CSIR-NET Problems Discussion on Functions and it's Properties

Even and Odd Functions has DISCUSSED BEAUTIFULLY with Examples

CSIR-NET EVEN ODD Function Concepts

Odd and Even Functions has DISCUSSED beautifully with Examples

CSIR-NET , Even Odd , part-02

Monotonic Functions for CSIR NET has discussed beautifully with Examples

Monotonic Functions , CSIR NET concepts

Cardinality of sets has DISCUSSED with Examples

Countable & Uncountable Sets

Countable and Uncountable Sets has discussed beautifully with Examples

Countable and Uncountable Sets, Part-02

Countable Sets and it's Properties has discussed beautifully

Countable and Uncountable Sets,part-03

Some more properties of Countable Sets has DISCUSSED BEAUTIFULLY with Examples

Countable and Uncountable Sets, Part-04

Rationals are Countable has proved beautifully

Countable and Uncountable Sets, Part-05

Reals and open intervals are Uncountable has proved beautifully

Countable and Uncountable Sets, Part-06

Countable and Uncountable Sets, Part-07

Csir Net 2015 PROBLEM on Countability has discussed

Countable & Uncountable Sets, Part-08

CSIR NET Problem 2013 , December has discussed beautifully

CSIR-NET/JRF problems Discussion , Section -C, 4.75 marks

Csir net Problems , section-C ,4.75 marks has DISCUSSED BEAUTIFULLY

CSIR NET Problem on Countability, Part-10

Countable and Uncountable Sets , Part-11 , Csir net Problems Discussion

CSIR-NET Problem, June -18, 4.75 marks , Countability part-11

Unforgettable Results on Countability has been discussed beautifully with proofs,

Unforgettable Results on Countability, Part-12

Some more Unforgettable Results has proved on Countability

Unforgettable Results on Countability, Part-13

Unforgettable Results on Countability for CsirUgcNet has proved

Unforgettable Results, Part-14

Unforgettable Results on Countability is going on with proof

Unforgettable Results on Countability, Part-15

Unforgettable facts for CSIR NET  with proof has discussed beautifully

Unforgettable Results on Countability, Part-16

CsirNet-2016, 4.75 marks problem on Countability has discussed beautifully

CsirNet-2016, 4.75 marks Problems on Countability

NTA Online Net exam 4.75 marks type Question Discussion

Net 4.75 marks , Section-c type Question Discussion

Countability of Set of algebraic numbers and Transcendental numbers

COUNTABILITY, Part-19

NTA - NET MSQ TYPE QUESTION , COUNTABILITY , PART-20

NTA-NET QUESTION ON COUNTABILITY,PART-20

Introduction to Sequence of Real Numbers, Part-01

Sequence of Real Analysis (introduction)

Types of Sequence has discussed beautifully

Types of Sequences

Limit points of a Sequence has illustrated with Examples

Part-03:- Limit Points of a Sequence

Introduction to the Course for Unacademy plus live by Pankaj Kumar

Introduction to a course for Unacademy live

In this course, the educator discusses the Improper integrals and its Convergence with Proofs of Theorems will help B.Sc. /B. Tech Maths students, Previous year Questions of the net, gate, JAM has also included.

Improper integrals|Real Analysis Course-03: CSIR UGC NET

(Hindi) CSIR-UGC NET | Improper integrals | Real Analysis Course-03

This Course starts with the concepts of limit and later it gives idea and strategy to solve the Problems on Continuity for CSIR-UGC NET

(Hindi) Continuity and Uniform Continuity (Analysis, Course-04) : CSIR-UGC NET

This course contains the intuitive and ultimate concepts of Riemann integration dedicated to CSIR NET, GATE, B.SC., M.SC. etc.

(Hindi) Riemann Integration Analysis 2: CSIR-UGC NET

Unlock Code - AnushaJ | Plus Educator | Assistant Professor | 5 years Teaching experience | Telegram Channel - MATHSQUARE

Anusha Jain

Know everything about functions, limit from this course.Each and every point is well explained from basics. after watching this course you will understand every concept of functions and limit. we will cover all types according to CSIR NET exam.

(Hindi) Function and Limit: CSIR-UGC NET

Know everything about Continuity, discontinuity & Differentiability from this course. after watching this course you will understand every concept of cont.& diff. we will cover all types according to CSIR NET exam.

Lessons

61 lessons • 1h

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Introduction to Real Analysis (in Hindi)

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Bounded Above Set (in Hindi)

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Supremum (Least Upper Bound) of a Subset of the Real Numbers (in Hindi)

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Bounded below Subsets of Real Numbers (in Hindi)

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Bounded Subsets of Real Numbers (in Hindi)

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Greatest Lower Bound or Infimum

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Method to get infimum and Supremum

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Infimum & Supremum of Some more Subsets of Real Numbers

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Archimedean Property in Real Analysis

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Properties & Neighborhood of Real Numbers

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