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Introduction to Metric Spaces
 
18:55
The axiomatic description of a metric space is given.
Views: 99485 Asterlesma
Topics In Analysis (Lecture 1) : Overview of Metric Spaces
 
01:19:56
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
Mod-01 Lec-01 Metric Spaces with Examples
 
53:51
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
Metric Space - Definition & Concept of Usual metric in Hindi(Lecture-1)
 
15:06
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
What is a metric space?  An example
 
16:53
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
Mod-03 Lec-14 Metric Spaces: Definition and Examples
 
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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
Analysis II Lecture 16 Part 4 the completion of a metric space
 
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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
Complete metric space:  example & proof
 
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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
Analysis II Lecture 16 Part 2 Cauchy sequences in metric spaces
 
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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
Intro Real Analysis, Lec 33, Euclidean Metric, Triangle Inequality, Metric Spaces, Compact Sets
 
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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
Introduction to Metric Spaces
 
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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
Topics In Analysis (Lecture 8): Complete Metric Spaces
 
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We discuss properties of spaces in which all Cauchy sequences converge.
Views: 2585 Arkady Etkin
METRIC SPACES – ISOMETRY MAPPINGS AND HOMEOMORPHISMS
 
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Subject: Mathematics Course: ANALYSIS Keyword: SWAYAMPRABHA
Metric Spaces: open sets and closed sets with examples
 
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I created this video with the YouTube Slideshow Creator (http://www.youtube.com/upload)
Views: 16585 Ananga Das
Mod-01 Lec-07 Completion of Metric Spaces + Tutorial
 
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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 IN HINDI 🔥|| METRIC SPACE TOPOLOGY
 
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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
Complete and Incomplete Metric Spaces Part 1
 
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The definition of complete and incomplete metric spaces is given and some basic examples given.
Views: 15972 Asterlesma
Metric Space - More Examples on Metric Space In Hindi(Lecture-2)
 
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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
Lecture 2: Functional Analysis - Complete metric spaces
 
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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
FUNCTIONAL ANALYSIS PART-1 (METRIC SPACES - euclidean spaces,Lp and Linfinity spaces) in hindi
 
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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
Metric Space  Definition  and   Concept with Examples in Real analysis in hindi
 
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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
Continuous Functions between Metric Spaces
 
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The definition of a continuous function between two metric spaces is introduced.
Views: 15785 Asterlesma
Metric Space in Hindi Part 1 of 7 under  E-Learning Proram
 
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It covers in detail the Meaning, Definition and Examples of Metric Space.
Metric Space Examples / questions  in real analysis in Hindi  for Bsc | CSIR Net
 
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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
0 Metric Spaces Real Analysis, Taxi-Cab, discreet and usual metrics.
 
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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
Subspaces of Metric Spaces
 
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Introduction to the concept of the subspace of a metric space.
Views: 5725 Asterlesma
Real Analysis, Lecture 8: Cantor Diagonalization and Metric Spaces
 
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Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Playlist, FAQ, writing handout, notes available at: http://analysisyawp.blogspot.com/
Views: 36512 HarveyMuddCollegeEDU
Open and closed Set In metric space with examples in Hindi
 
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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
Introduction to Open and Closed sets
 
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The concepts of open and closed sets within a metric space are introduced
Views: 119238 Asterlesma
FUNCTIONAL ANALYSIS PART-3 (COMPLETE METRIC SPACES AND CAUCHY SEQUENCES) in hindi
 
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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...…..
Mod-04 Lec-20 Sequences in Metric Spaces
 
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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
Mod-05 Lec-24 Continuous Functions on a Metric Space
 
54:19
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
Definition of Metric Spaces- In Hindi - B.A/B.SC MATH HONS 2ND YEAR
 
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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
Metric Spaces, Examples & Properties of Metric Space
 
01:18:36
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
#Metric space ,lecture-2 (functional analysis-part-3).in HINDI by GAYATRI education classes
 
22:32
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
Compactness in a metric space
 
05:33
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 and closed sets in metric space
 
59:52
Open set Closed set Metric space Interior points real analysis
Views: 2431 Nagpal Academy
Mod-01 Lec-04 Separable Metrics Spaces with Examples
 
50:44
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
Cauchy sequence - In Hindi-B.A./ B.sc Hons (Math) 2nd Year
 
18:27
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
Lecture 4: Functional Analysis - Complete metric spaces continued
 
45:13
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
Open Balls, Closed Balls and Spheres
 
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The definitions of open balls, closed balls and spheres within a metric space are introduced.
Views: 21892 Asterlesma
Topics In Analysis (Lecture 5): Homeomorphisms
 
01:06:54
We define homeomorphism between two metric spaces and explore examples.
Views: 1604 Arkady Etkin
Cauchy sequence in metric space with examples in hindi/urdu
 
15:25
In this video you will learn Cauchy sequence in metric space with examples in hindi/urdu or Cauchy sequence in metric space
Metric Spaces and
Complex Analysis maths(honours)C13 vbu UG semester6 PYQ(2015-18)
 
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Views: 188 Sandeep Kumar Aryan
Compact Sets- Lesson 2-In Hindi- {Compactness}
 
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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/ .......................................................
Views: 18380 Learn Math Easily
Real Analysis Metric Space
 
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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
Real line is Complete Metric Space-In Hindi(Completeness-Metric Space)-B.A./ B.sc Hons (Math) 3rd yr
 
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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
Completeness in Metric Space(Introduction)-In Hindi-(Completeness-Metric Space)-B.A./B.sc Hons Math
 
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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