What is real analysis in mathematics | Real analysis lectures | Real analysis bsc maths

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What is real analysis in mathematics. In this real analysis lecture, I have a given a complete study guide and approach on how to learn real analysis. Real analysis in mathematics often comes as a challenge as it is the first proof based, rigorous, mathematical appraoch which the students often stumble upon. This video, gives you the complete methods, techniques and starts with the basic fundamentals of real analysis.

00:00 - 01:27 - Introduction to real analysis
01:28 - 01:53 - A quick recap
01:54 - 02:48 - Overview of real analysis
02:49 - 04:33 - What is real analysis
04:34 - 05:04 - How to study real analysis
05:05 - 08:34 - Pre requisites of learning Real analysis
08:35 - 09:31 - Methods of studying real analysis
09:32 - 10:17 - Real life applications of real analysis
10:18 - 10:30 - Axioms and their properties
10:31 - 13:20 - Natural numbers and sequences
13:21 - 14:55 - Definitions
14:56 - 15:31 - What is a domain and range?
15:32 - 17:02 - What is a function?
17:03 - 19:14 - What is sequence?
19:15 - 21:02 - Further definitions
21:03 - 21:52 - Empty relation
21:53 - 23:01 - Universal and Identity relation
23:02 - 23:21 - Reflexive and Symmetry relation
23:22 - 23:58 - Transitive and Equivalence relation
23:59 - 25:27 - Summary

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My name is Shounak. I teach in a college. My subject of specialization is the general theory of relativity, tensor calculus, and topology. I also teach communicative English.

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Автор

thank you so much sir its very help full

Shortstatsus
Автор

Great! Please make 2 parallel playlists of Mathematical Proofs and Complex analysis in order to develop abstract thinking so that students can read Riemann Surfaces and Riemann Geometry and differential topology.

kamalhaider