The axiomatic description of a metric space is given.

Views: 99485
Asterlesma

This is a short review of the concept of metric space. We briefly glance over the various kinds of metrics without too much attention to proofs.

Views: 6720
Arkady Etkin

Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 133580
nptelhrd

Namaste to all Friends,
This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Engineering, BSc, MSc, MCA, MBA... of India.
we have try to providing quality content without any charge.
our Aim is to provide Basic Fundamental concept of maths to all those students who willing to learn it and have no fees to pay coaching Institutes.
our Video Lecture are Useful to Engineering Mathematics, BSc Maths, IITJAM, GATE, CSIR NET and other Entrance Exams etc.
You can ask your maths problems through our facbook page "VEDAM Institute of Mathematics, Bhopal " .
Important Links:
Engineering Maths Videos & Engineering Geology Video:
https://www.youtube.com/my_videos?o=U
School Maths video for Class 11th & 12th:
https://www.youtube.com/my_videos?o=U
Competitive Maths Videos:
https://www.youtube.com/my_videos?o=U
All the best...
Vande Matram

Views: 90685
Bhagwan Singh Vishwakarma

This is a basic introduction to the idea of a metric space. I introduce the idea of a metric and a metric space framed within the context of R^n. I show that a particular distance function satisfies the conditions of being a metric.

Views: 58095
Dr Chris Tisdell

Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 45656
nptelhrd

The closure of a set and the limit point of a set are both defined. The definition of a completion is given in terms of universal properties. It is important to note that the completion of a metric space is not just another metric space, but also includes an isometry of the original space to the completion. We sketch a proof that a completion exists and that the closure of the image of that space inside the completion using the isometry is the entire completion. One construction involves replacing points with equivalence classes of Cauchy sequences. One can use this construction to construct the real numbers from the rational numbers, which you might have done in Analysis I. That proof, however, is actually significantly more involved because the real numbers form an ordered field, which has much more structure than a metric space. One has to check that all of this structure is well-defined. Unfortunately, many references omit many of the details of this proof (the details are not too difficult, but in my opinion, these details should be worked out for those taking analysis for the first time). I may at some point post my own notes on the proof of this in the future.
This is part of a series of lectures on Mathematical Analysis II. Topics covered include continuous and differentiable multi-variable functions on Euclidean space, the chain rule, the implicit function theorem, manifolds, tangent spaces, vector fields, the degree and index of a smooth map, the Euler characteristic, metric spaces, the contraction mapping theorem, existence and uniqueness of solutions to ordinary differential equations, and integral equations.
I speak rather slowly, so you may wish to increase the speed of this video.
These videos were created during the 2017 Spring semester at the UConn CETL Lightboard Room.

Views: 337
Arthur Parzygnat

This video discusses an example of particular metric space that is complete. The completeness is proved with details provided. Such ideas are seen in branches of analysis.

Views: 35245
Dr Chris Tisdell

The definition of a Cauchy sequence uses a metric to indicate that the elements in a sequence are getting closer together. A metric space is complete if all Cauchy sequences converge. Several examples are given. The set of rational numbers with the usual Euclidean distance is not complete. Continuous functions on a compact subset of Euclidean space with the supremum distance is complete. Continuous functions on a closed interval on the real line with the integral distance is not complete.
This is part of a series of lectures on Mathematical Analysis II. Topics covered include continuous and differentiable multi-variable functions on Euclidean space, the chain rule, the implicit function theorem, manifolds, tangent spaces, vector fields, the degree and index of a smooth map, the Euler characteristic, metric spaces, the contraction mapping theorem, existence and uniqueness of solutions to ordinary differential equations, and integral equations.
I speak rather slowly, so you may wish to increase the speed of this video.
These videos were created during the 2017 Spring semester at the UConn CETL Lightboard Room.

Views: 102
Arthur Parzygnat

Topology Unit, Part 3. (0:00) Goals for the lecture. (0:28) Euclidean n-dimensional space. (5:00) Properties of metrics are satisfied by the Euclidean metric. (6:58) Sketch the proof of the triangle inequality for the Euclidean norm and then the Euclidean metric. (17:03) Defining a topology (define open and closed sets) in a metric space. (27:39) A reminder to make sure you think beyond the standard pictorial examples. What is the interior of the rationals? What is the derived set of the rationals? (29:07) Continue with the definition of a closed set. (30:59) The empty set is both open and closed (make the truth table for an implication). (33:52) The closure of a set. (34:49) Any open ball is an open set (and give a sketch of the proof, which requires the triangle inequality). (44:52) Open covers, finite subcovers, compact sets. (52:13) In Euclidean space, a set being compact is equivalent to being closed and bounded (Heine-Borel Theorem). (55:38) Why are compact sets important? Discuss this in terms of the Extreme Value Theorem.

Views: 5430
Bill Kinney

We define metric spaces and the conditions that all metrics must satisfy. We then verify that a common metric satisfies the conditions we laid out and discuss some applications of metric spaces.
Talent Search Video #2

Views: 18385
Shahyan Makhdumi

We discuss properties of spaces in which all Cauchy sequences converge.

Views: 2585
Arkady Etkin

Subject: Mathematics
Course: ANALYSIS
Keyword: SWAYAMPRABHA

I created this video with the YouTube Slideshow Creator (http://www.youtube.com/upload)

Views: 16585
Ananga Das

Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 10176
nptelhrd

Metric space lecture in hindi.
Metric space examples.
Metric space in hindi.
Metric space in real analysis.
Metric space.
TOPOLOGY.
Please subscribe the chanel for more vedios and please support us.

Views: 2921
Mathematics Analysis

The definition of complete and incomplete metric spaces is given and some basic examples given.

Views: 15972
Asterlesma

In This video, we have discussed the Metric Space - with Examples on Metric Space
Namaste to all Friends,
This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Engineering, BSc, MSc, MCA, MBA... of India.
we have try to providing quality content without any charge.
our Aim is to provide Basic Fundamental concept of maths to all those students who willing to learn it and have no fees to pay coaching Institutes.
our Video Lecture are Useful to Engineering Mathematics, BSc Maths, IITJAM, GATE, CSIR NET and other Entrance Exams etc.
You can ask your maths problems through our facbook page "VEDAM Institute of Mathematics, Bhopal " .
Important Links:
Engineering Maths Videos & Engineering Geology Video:
https://www.youtube.com/my_videos?o=U
School Maths video for Class 11th & 12th:
https://www.youtube.com/my_videos?o=U
Competitive Maths Videos:
https://www.youtube.com/my_videos?o=U
All the best...
Vande Matram
You can watch more video For Engineering Mathematics in Hindi (M1, M2, M3)
https://www.youtube.com/playlist?list=PLdM-WZokR4tbRrCD01O9GsFKEJjt3SpPS
For Engineering Geology in Hindi
https://www.youtube.com/playlist?list=PLdM-WZokR4tZoAqn1B6Py_cYYnQ78lQS3
For Civil Engineering (Surveying) In Hindi
https://www.youtube.com/playlist?list=PLbFCE9PA9MyRmHO8IKlgVjISXG6uHtNk3
For Automobile and Project Video
https://www.youtube.com/channel/UCey8dJ_zcujU68c1q-I_bTA
For School Mathematics (11th &12th) in Hindi
https://www.youtube.com/channel/UCt6QjiI7PaXHLHQJGpTpZpA
For Competitive exam
https://www.youtube.com/channel/UCASKZfPKE_u-Q19AFYPNTkw/videos
And if you still have any doubt you can call at "[email protected]" Via "Callme4" app.
keep Watching...
..
Jai Hind

Views: 54583
Bhagwan Singh Vishwakarma

The second class in in Dr Joel Feinstein's Functional Analysis module covers complete metric spaces.
Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
See playlist for more videos in this series:
https://www.youtube.com/watch?v=7IIw_U8rv4Q&list=PL554B877A872B4F94

Views: 20665
University of Nottingham

in this video we have discuss metric space definition and examples of other spaces which are metric spaces...…this is part-1 next part will be uploaded soon...…..
thanks for watching
understanding mathematics

Views: 1728
Understanding Mathematics

In this video . we have discussed about metric space with its definition and concept with example and learn this whole metric space basics and concept in hindi
dOWNALOAD MATH MENTOR APP https://play.google.com/store/apps/details?id=mathment.mathss
Full Course on Matrix and Determinants https://unacademy.com/lesson/overview-and-determinant-with-example-in-hindi/QFHZB5KD/?source=Course
Full Course on Definite Integral https://unacademy.com/lesson/in-hindi-important-formula-for-definite-integral/O8QU3NWP
Limit and continunity
https://unacademy.com/lesson/limit-of-greatest-integer-function-in-hindi/64HI5LD9
Full Course on Indefinite Integral https://unacademy.com/lesson/definition-of-indefinite-and-definite-integral-in-hindi/F12QVMQH
Full Course on Straight Line https://unacademy.com/lesson/in-hindi-find-angle-between-two-line-and-slope-from-equation-of-line/TAXM2VC0
Full Course on Application of Derivatives https://unacademy.com/lesson/find-point-of-tangent-on-curve-with-given-condition-in-hindi/PB4BZ2LQ
Full Course on Probabliity https://unacademy.com/lesson/important-question-on-probability-in-hindi/GX5IZRX2
Full Course on Vector Alegbra and Plane https://unacademy.com/lesson/distance-of-point-from-a-plane-in-hindi/JEU4M2QG
Full Course on 3D Geometery https://unacademy.com/lesson/example-on-direction-cosine-and-ratio-in-hindi/YQWX58WC
Full Course on Bionomial https://unacademy.com/lesson/shot-tricks-of-binomail-theorem/INF9U9T5

Views: 4563
Math Mentor

The definition of a continuous function between two metric spaces is introduced.

Views: 15785
Asterlesma

It covers in detail the Meaning, Definition and Examples of Metric Space.

Views: 109399
Dr. B. R. Ambedkar Govt. College Kaithal

In this video Metric space example to learn basic concept . important topic of Real Analysis in hindi
dOWNALOAD MATH MENTOR APP https://play.google.com/store/apps/details?id=mathment.mathss
Full Course on Matrix and Determinants https://unacademy.com/lesson/overview-and-determinant-with-example-in-hindi/QFHZB5KD/?source=Course
Full Course on Definite Integral https://unacademy.com/lesson/in-hindi-important-formula-for-definite-integral/O8QU3NWP
Limit and continunity
https://unacademy.com/lesson/limit-of-greatest-integer-function-in-hindi/64HI5LD9
Full Course on Indefinite Integral https://unacademy.com/lesson/definition-of-indefinite-and-definite-integral-in-hindi/F12QVMQH
Full Course on Straight Line https://unacademy.com/lesson/in-hindi-find-angle-between-two-line-and-slope-from-equation-of-line/TAXM2VC0
Full Course on Application of Derivatives https://unacademy.com/lesson/find-point-of-tangent-on-curve-with-given-condition-in-hindi/PB4BZ2LQ
Full Course on Probabliity https://unacademy.com/lesson/important-question-on-probability-in-hindi/GX5IZRX2
Full Course on Vector Alegbra and Plane https://unacademy.com/lesson/distance-of-point-from-a-plane-in-hindi/JEU4M2QG
Full Course on 3D Geometery https://unacademy.com/lesson/example-on-direction-cosine-and-ratio-in-hindi/YQWX58WC
Full Course on Bionomial https://unacademy.com/lesson/shot-tricks-of-binomail-theorem/INF9U9T5
Watch my full course on Complex Numbers:https://unacademy.com/lesson/what-is-complex-number-in-hindi/RVK67BCR
Watch my full course on Probability:https://unacademy.com/lesson/conditional-probability-with-example-part-1-in-hindi/H1UUF1B2
Watch my full course on Binomial Theorum: https://unacademy.com/lesson/basic-concept-of-binomial-theorem-with-example-in-hindi/8D97OF4X
Watch my full course on Sequence & Series: https://unacademy.com/lesson/sequence-and-series-arithmetic-geometric-progression-in-hindi/2H2C175C
Follow me on Unacademy: https://unacademy.com/user/moneyg864
https://www.youtube.com/watch?v=jbZpwelA25Y
DIAGONALISABLE OF MATRIX IN HINDI
Watch my full course on Complex Numbers: https://unacademy.com/lesson/what-is-complex-number-in-hindi/RVK67BCR
Watch my full course on Probability: https://unacademy.com/lesson/conditional-probability-with-example-part-1-in-hindi/H1UUF1B2
Watch my full course on Binomial Theorum: https://unacademy.com/lesson/basic-concept-of-binomial-theorem-with-example-in-hindi/8D97OF4X
Watch my full course on Sequence & Series: https://unacademy.com/lesson/sequence-and-series-arithmetic-geometric-progression-in-hindi/2H2C175C

Views: 3042
Math Mentor

In this video we explore different metrics such as the taxi-cab driver metric, the usual metric and the discreet metric. We don’t prove things in this video (on future videos yes).

Views: 90
Jorge Garcia

Introduction to the concept of the subspace of a metric space.

Views: 5725
Asterlesma

Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/

Views: 36512
HarveyMuddCollegeEDU

Explanation of Open set and Closed Set with Example for Bsc pgt and master cadre Exam
DOWNALOAD MATH MENTOR APP https://play.google.com/store/apps/details?id=mathment.mathss
Full Course on Matrix and Determinants https://unacademy.com/lesson/overview-and-determinant-with-example-in-hindi/QFHZB5KD/?source=Course
Full Course on Definite Integral https://unacademy.com/lesson/in-hindi-important-formula-for-definite-integral/O8QU3NWP
Limit and continunity
https://unacademy.com/lesson/limit-of-greatest-integer-function-in-hindi/64HI5LD9
Full Course on Indefinite Integral https://unacademy.com/lesson/definition-of-indefinite-and-definite-integral-in-hindi/F12QVMQH
Full Course on Straight Line https://unacademy.com/lesson/in-hindi-find-angle-between-two-line-and-slope-from-equation-of-line/TAXM2VC0
Full Course on Application of Derivatives https://unacademy.com/lesson/find-point-of-tangent-on-curve-with-given-condition-in-hindi/PB4BZ2LQ
Full Course on Probabliity https://unacademy.com/lesson/important-question-on-probability-in-hindi/GX5IZRX2
Full Course on Vector Alegbra and Plane https://unacademy.com/lesson/distance-of-point-from-a-plane-in-hindi/JEU4M2QG
Full Course on 3D Geometery https://unacademy.com/lesson/example-on-direction-cosine-and-ratio-in-hindi/YQWX58WC
Full Course on Bionomial https://unacademy.com/lesson/shot-tricks-of-binomail-theorem/INF9U9T5
Watch my full course on Complex Numbers:https://unacademy.com/lesson/what-is-complex-number-in-hindi/RVK67BCR
Watch my full course on Probability:https://unacademy.com/lesson/conditional-probability-with-example-part-1-in-hindi/H1UUF1B2
Watch my full course on Binomial Theorum: https://unacademy.com/lesson/basic-concept-of-binomial-theorem-with-example-in-hindi/8D97OF4X

Views: 6989
Math Mentor

The concepts of open and closed sets within a metric space are introduced

Views: 119238
Asterlesma

in this video we have discussed convergent sequences in metric spaces, cauchy sequences and complete metric spaces.....
sorry for camera disturbances...next time it wont happen....
pls let me know any other topic yu want...…
functional analysis part-1 - https://youtu.be/6RUsfLXsoOk
functional analysis part-2 - https://youtu.be/lug3SEuzSWA
thanks for watching and subscribing
understanding mathematics...…..

Views: 1424
Understanding Mathematics

Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 12357
nptelhrd

Real Analysis by Prof. S.H. Kulkarni, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 11476
nptelhrd

Here i am giving Definition of Metric Spaces and its meaning. In this lecture / video Everything is explained in Hindi/Urdu. Metric spaces is a very important topic of real analysis.
Link for this video is as follows:
https://youtu.be/8zLIJ666CNc
This video will be very useful if you are student of Higher Classes in mathematics like B.Sc, M.Sc , Engineering and if you are preparing for UGC Net and iit Jam etc.
Please Do not forget to Like, Share and Subscribe
Before this topic i did various other topics of Real Analysis:
My other Videos are as follows:
Countable and Uncountable Sets
https://www.youtube.com/playlist?list=PLrv011ZmIsBdyWEIOag6HEfyPoq1eIKd7
Supremum & Infimum
https://www.youtube.com/playlist?list=PLrv011ZmIsBdmVB5s1tJSCd39p2rxpigF
Connectedness - Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBfBXpQkGTeE0SbYoSh0Z0OL
Compactness
https://www.youtube.com/playlist?list=PLrv011ZmIsBdtp8KFmmv6hD2tDUZZbR8a
Neighbourhoods and Limit Points- Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcBBN13x8Of5wXlmj1ENowk
Infinite Sequences - Real analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcVsSEmckC6_TETuS_4ul-E
Indeterminate forms and l’hospital’s rule
https://www.youtube.com/playlist?list=PLrv011ZmIsBctDlihrQ1dcZKrldqeU-VB
Multiplication Tables- Shortcut tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBfzdSa7uGjGlilIypG_4gvE
Shortcut tricks to Solve linear equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBeW8FvgL9_TDOBu_2RgTUg9
Quadratic Equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBda4NmnoKPUAHjVRaM1Fn7a
Square and Cube Shortcuts
https://www.youtube.com/playlist?list=PLrv011ZmIsBebZ6V-MA26bAF5vSrvvl1T
Number System
https://www.youtube.com/playlist?list=PLrv011ZmIsBe-TUwGkKf59Bksj_G0eB0L
HCF And LCM
https://www.youtube.com/playlist?list=PLrv011ZmIsBdQchp5I6tw2iSvcPt__szm
Multiplication Tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBe0StFYtGISxgd6iMt-Yii5
Subscribe to My YouTube Channel " Learn Math Easily" :
https://www.youtube.com/channel/UCUosUwOLsanIozMH9eh95pA
.................................................
My Page on Facebook:
https://www.facebook.com/learnmathematicseasily/
.......................................................
https://youtu.be/TbsLHRadJuE

Views: 5174
Learn Math Easily

M.Sc Mathematics
Course:- Set Topology
MTH251 LECTURE 02
In this vedio Lecture we will discuss about
1. Definition of Metric Spaces
2. Examples of Metric Spaces
3. Properties of Metric Spaces

Views: 1035
JOBS & TESTS CHANNEL

Ye video functional analysis ka part . ismain metric space ki definition ko phir se bataya gya h sath hi definition k based par questions ko solve Krna bataya h
Thanks for watching
GAYATRI education classes
GAYATRIeducationclasses

Views: 3594
GAYATRI education classes

A video explaining the idea of compactness in R with an example of a compact set and a non-compact set in R.

Views: 15655
Joshua Helston

Open set
Closed set
Metric space
Interior points
real analysis

Views: 2431
Nagpal Academy

Functional Analysis by Prof. P.D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 15133
nptelhrd

Includes complete detail of Cauchy sequence in metric space . which includes its definition, theorem which states that every convergent sequence is a cauchy sequence but converse is not true. this theorem is also known as cauchy convergence criteria. In upcoming videos i will cover each and every subtopic of this topic.
Link of the video
"Cauchy Sequence in Hindi with Examples, Questions And Theorems -Lesson 8- {Infinite Sequences}" is
https://youtu.be/wIIxmjFXj2A
welcome you all in my channel LEARN MATH EASILY
Everything is explained in Hindi.
Link for this video is as follows:
https://youtu.be/8mQApfR52H0
This video will be very useful if you are student of Higher Classes in mathematics like B.Sc, M.Sc , Engineering and if you are preparing for UGC Net and iit Jam etc.
Please Do not forget to Like, Share and Subscribe
Before this topic i did various other topics of Real Analysis:
My other Videos are as follows:
Metric Space
https://www.youtube.com/playlist?list=PLrv011ZmIsBfCoM01KoqDPIYBS7NLFE4P
Countable and Uncountable Sets
https://www.youtube.com/playlist?list=PLrv011ZmIsBdyWEIOag6HEfyPoq1eIKd7
Supremum & Infimum
https://www.youtube.com/playlist?list=PLrv011ZmIsBdmVB5s1tJSCd39p2rxpigF
Connectedness - Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBfBXpQkGTeE0SbYoSh0Z0OL
Compactness
https://www.youtube.com/playlist?list=PLrv011ZmIsBdtp8KFmmv6hD2tDUZZbR8a
Neighbourhoods and Limit Points- Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcBBN13x8Of5wXlmj1ENowk
Infinite Sequences - Real analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcVsSEmckC6_TETuS_4ul-E
Indeterminate forms and l’hospital’s rule
https://www.youtube.com/playlist?list=PLrv011ZmIsBctDlihrQ1dcZKrldqeU-VB
Multiplication Tables- Shortcut tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBfzdSa7uGjGlilIypG_4gvE
Shortcut tricks to Solve linear equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBeW8FvgL9_TDOBu_2RgTUg9
Quadratic Equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBda4NmnoKPUAHjVRaM1Fn7a
Square and Cube Shortcuts
https://www.youtube.com/playlist?list=PLrv011ZmIsBebZ6V-MA26bAF5vSrvvl1T
Number System
https://www.youtube.com/playlist?list=PLrv011ZmIsBe-TUwGkKf59Bksj_G0eB0L
HCF And LCM
https://www.youtube.com/playlist?list=PLrv011ZmIsBdQchp5I6tw2iSvcPt__szm
Multiplication Tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBe0StFYtGISxgd6iMt-Yii5
Subscribe to My YouTube Channel " Learn Math Easily" :
https://www.youtube.com/channel/UCUosUwOLsanIozMH9eh95pA
.................................................
My Page on Facebook:
https://www.facebook.com/learnmathematicseasily/
.......................................................
https://youtu.be/TbsLHRadJuE

Views: 3069
Learn Math Easily

The fourth class in Dr Joel Feinstein's Functional Analysis module continues on the subject of complete metric spaces including the proof of the Baire category theorem. Further module materials are available for download from The University of Nottingham open courseware site: http://unow.nottingham.ac.uk/resources/resource.aspx?hid=bd32d53b-3c12-ac19-176b-d9e112731951 and on iTunes U: http://itunesu.nottingham.ac.uk/albums/64.rss
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
See playlist for more videos in this series:
https://www.youtube.com/watch?v=7IIw_U8rv4Q&list=PL554B877A872B4F94

Views: 6891
University of Nottingham

The definitions of open balls, closed balls and spheres within a metric space are introduced.

Views: 21892
Asterlesma

We define homeomorphism between two metric spaces and explore examples.

Views: 1604
Arkady Etkin

In this video you will learn Cauchy sequence in metric space with examples in hindi/urdu or Cauchy sequence in metric space

Views: 761
Mathematics Foundation

Created by VideoShow:http://videoshowapp.com/free

Views: 188
Sandeep Kumar Aryan

Compactness is a very important topic of Real Analysis. In this video i am giving you the definition of Compact sets and its examples.
And in the previous video i have started with the very important definition of open cover, subcover, finite subcover. These all the things were explained by some examples.
Link for this video is
https://youtu.be/4brVhl1ZcRg
This video will be very useful if you are student of Higher Classes in mathematics like B.Sc, M.Sc , Engineering and if you are preparing for UGC Net and iit Jam etc.
Link of the above mentioned video is
https://youtu.be/Y3iy2Gkp7VY
Please Do not forget to Like, Share and Subscribe
Before this topic i did various other topics of Real Analysis:
My other Videos are as follows:
Neighbourhoods and Limit Points- Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcBBN13x8Of5wXlmj1ENowk
Infinite Sequences - Real analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcVsSEmckC6_TETuS_4ul-E
Indeterminate forms and l’hospital’s rule
https://www.youtube.com/playlist?list=PLrv011ZmIsBctDlihrQ1dcZKrldqeU-VB
Multiplication Tables- Shortcut tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBfzdSa7uGjGlilIypG_4gvE
Shortcut tricks to Solve linear equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBeW8FvgL9_TDOBu_2RgTUg9
Quadratic Equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBda4NmnoKPUAHjVRaM1Fn7a
Square and Cube Shortcuts
https://www.youtube.com/playlist?list=PLrv011ZmIsBebZ6V-MA26bAF5vSrvvl1T
Number System
https://www.youtube.com/playlist?list=PLrv011ZmIsBe-TUwGkKf59Bksj_G0eB0L
HCF And LCM
https://www.youtube.com/playlist?list=PLrv011ZmIsBdQchp5I6tw2iSvcPt__szm
Multiplication Tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBe0StFYtGISxgd6iMt-Yii5
Subscribe to My YouTube Channel " Learn Math Easily" :
https://www.youtube.com/channel/UCUosUwOLsanIozMH9eh95pA
.................................................
Like My Page on Facebook:
https://www.facebook.com/learnmathematicseasily/
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Views: 18380
Learn Math Easily

Mr. Sumit Kumar, was an Integrated PhD student at IISc Bangalore. After that he went to IMSc Chennai to do research in Number Theory. He was also selected in HRI, Allahabad as a PhD student. He secured AIR 01 in JNU-MCA, AIR 05 DU-MCA and AIR 08 PUNE-MCA.

Views: 2143
Noble Forum, India

Includes two different proofs of the example Real line is Complete Metric Space . whichever you find easy you can use that. In upcoming videos i will cover each and every subtopic of COMPLETENESS topic.
welcome you all in my channel LEARN MATH EASILY
Everything is explained in Hindi.
Link for this video is as follows:
https://youtu.be/JUNj9ZwCOtM
This video will be very useful if you are student of Higher Classes in mathematics like B.Sc, M.Sc , Engineering and if you are preparing for UGC Net and iit Jam etc.
Please Do not forget to Like, Share and Subscribe
Before this topic i did various other topics of Real Analysis:
My other Videos are as follows:
Link of the video "Cauchy sequence in metric space- In Hindi-lesson 5(Infinite Sequences-Metric Space)" is
https://youtu.be/8mQApfR52H0
Link of the video "Cauchy Sequence in Hindi with Examples, Questions And Theorems -Lesson 8- {Infinite Sequences}" is
https://youtu.be/wIIxmjFXj2A
Link of the video "A sequence is Convergent iff it is Cauchy Sequence- In Hindi- Cauchy Convrgence Criteria-Lesson 9"
https://youtu.be/IuhhMcP3lTs
Metric Space
https://www.youtube.com/playlist?list=PLrv011ZmIsBfCoM01KoqDPIYBS7NLFE4P
Countable and Uncountable Sets
https://www.youtube.com/playlist?list=PLrv011ZmIsBdyWEIOag6HEfyPoq1eIKd7
Supremum & Infimum
https://www.youtube.com/playlist?list=PLrv011ZmIsBdmVB5s1tJSCd39p2rxpigF
Connectedness - Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBfBXpQkGTeE0SbYoSh0Z0OL
Compactness
https://www.youtube.com/playlist?list=PLrv011ZmIsBdtp8KFmmv6hD2tDUZZbR8a
Neighbourhoods and Limit Points- Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcBBN13x8Of5wXlmj1ENowk
Infinite Sequences - Real analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcVsSEmckC6_TETuS_4ul-E
Indeterminate forms and l’hospital’s rule
https://www.youtube.com/playlist?list=PLrv011ZmIsBctDlihrQ1dcZKrldqeU-VB
Multiplication Tables- Shortcut tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBfzdSa7uGjGlilIypG_4gvE
Shortcut tricks to Solve linear equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBeW8FvgL9_TDOBu_2RgTUg9
Quadratic Equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBda4NmnoKPUAHjVRaM1Fn7a
Square and Cube Shortcuts
https://www.youtube.com/playlist?list=PLrv011ZmIsBebZ6V-MA26bAF5vSrvvl1T
Number System
https://www.youtube.com/playlist?list=PLrv011ZmIsBe-TUwGkKf59Bksj_G0eB0L
HCF And LCM
https://www.youtube.com/playlist?list=PLrv011ZmIsBdQchp5I6tw2iSvcPt__szm
Multiplication Tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBe0StFYtGISxgd6iMt-Yii5
Subscribe to My YouTube Channel " Learn Math Easily" :
https://www.youtube.com/channel/UCUosUwOLsanIozMH9eh95pA
.................................................
My Page on Facebook:
https://www.facebook.com/learnmathematicseasily/
.......................................................
https://youtu.be/TbsLHRadJuE

Views: 1545
Learn Math Easily

Includes the introduction of the topic Completeness in Metric Space. A metric space (X,d) is complete if every cauchy sequence is X converges. If a metric space is not complete then it is Incomplete . In upcoming videos i will cover each and every subtopic of COMPLETENESS topic.
welcome you all in my channel LEARN MATH EASILY
Everything is explained in Hindi.
Link for this video is as follows:
https://youtu.be/kg6tkOcyrFs
This video will be very useful if you are student of Higher Classes in mathematics like B.Sc, M.Sc , Engineering and if you are preparing for UGC Net and iit Jam etc.
Please Do not forget to Like, Share and Subscribe
Before this topic i did various other topics of Real Analysis:
My other Videos are as follows:
Link of the video "Cauchy sequence in metric space- In Hindi-lesson 5(Infinite Sequences-Metric Space)" is
https://youtu.be/8mQApfR52H0
Link of the video "Cauchy Sequence in Hindi with Examples, Questions And Theorems -Lesson 8- {Infinite Sequences}" is
https://youtu.be/wIIxmjFXj2A
Link of the video "A sequence is Convergent iff it is Cauchy Sequence- In Hindi- Cauchy Convrgence Criteria-Lesson 9"
https://youtu.be/IuhhMcP3lTs
Metric Space
https://www.youtube.com/playlist?list=PLrv011ZmIsBfCoM01KoqDPIYBS7NLFE4P
Countable and Uncountable Sets
https://www.youtube.com/playlist?list=PLrv011ZmIsBdyWEIOag6HEfyPoq1eIKd7
Supremum & Infimum
https://www.youtube.com/playlist?list=PLrv011ZmIsBdmVB5s1tJSCd39p2rxpigF
Connectedness - Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBfBXpQkGTeE0SbYoSh0Z0OL
Compactness
https://www.youtube.com/playlist?list=PLrv011ZmIsBdtp8KFmmv6hD2tDUZZbR8a
Neighbourhoods and Limit Points- Real Analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcBBN13x8Of5wXlmj1ENowk
Infinite Sequences - Real analysis
https://www.youtube.com/playlist?list=PLrv011ZmIsBcVsSEmckC6_TETuS_4ul-E
Indeterminate forms and l’hospital’s rule
https://www.youtube.com/playlist?list=PLrv011ZmIsBctDlihrQ1dcZKrldqeU-VB
Multiplication Tables- Shortcut tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBfzdSa7uGjGlilIypG_4gvE
Shortcut tricks to Solve linear equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBeW8FvgL9_TDOBu_2RgTUg9
Quadratic Equations
https://www.youtube.com/playlist?list=PLrv011ZmIsBda4NmnoKPUAHjVRaM1Fn7a
Square and Cube Shortcuts
https://www.youtube.com/playlist?list=PLrv011ZmIsBebZ6V-MA26bAF5vSrvvl1T
Number System
https://www.youtube.com/playlist?list=PLrv011ZmIsBe-TUwGkKf59Bksj_G0eB0L
HCF And LCM
https://www.youtube.com/playlist?list=PLrv011ZmIsBdQchp5I6tw2iSvcPt__szm
Multiplication Tricks
https://www.youtube.com/playlist?list=PLrv011ZmIsBe0StFYtGISxgd6iMt-Yii5
Subscribe to My YouTube Channel " Learn Math Easily" :
https://www.youtube.com/channel/UCUosUwOLsanIozMH9eh95pA
.................................................
My Page on Facebook:
https://www.facebook.com/learnmathematicseasily/
.......................................................
https://youtu.be/TbsLHRadJuE

Views: 3522
Learn Math Easily