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Countable and Uncountable Sets Denumerable Sets One Shot Real Analysis Hindi
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In this video, we learn about Countability of sets. We learn what is countable set, uncountable set, countable infinite set/Denumerable/enumerable set. We take examples and some important theorems and results. • 00:00 Denumerable, Enumerable or Countable Infinite set • 03:21 Equivalent Set • 04:30 Meaning of one-one onto mapping • 06:23 Countable and Uncountable Sets • 08:15 Example - Set of even numbers is countable • 09:57 Theorems and results on Countable and Uncountable Sets • 11:31 Example - union of countable sets is countable • 13:23 Set of Integers is Countable set Proof • 15:08 Set of Rational Numbers is Countable set Proof • 18:10 Closed Interval [0,1] is Uncountable Set Proof • 23:25 Open Interval (0,1) is Uncountable Set Proof • 24:15 Set of Real Numbers is Uncountable Set Proof • 24:55 Set of Irrational Numbers is Uncountable Set Proof • Thanks for watching 😊❤️ • Subscribe to my channel: • / @yes2maths • Playlists on channel- • • Laguerre Polynomials • • Hermite Polynomials • • Convergence of Infinite Series • • Sequence and Series of Functions • • Real Analysis • • Operations Research • • Special Functions • • Boundary Value Problem • Keywords - • countable set, uncountable set, countable infinite set, denumerable set, enumerable set, finite and infinite set, Countability of sets, countable set one shot, • l #bscmaths #realanalysis #mscmath #universitymath #advancedmaths
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