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#differentialgeometryandtensoranalysis #differentialgeometry #differentialgeometrylecture Differential geometry and tensor analysis is an important part of non-Euclidean geometry. In this differential geometry lecture, I have discussed and explained about the concept of manifold in mathematics. Manifolds are the basic fundamental concept of differential geometry. I have explained the meaning of manifold and why it is important in differential geometry. I have also explained, the different types of manifold, what is an atlas and a chart and how manifold was discovered. 00:00 - 01:12 - Introduction 01:13 - 02:58 - Why do we need a manifold? 02:59 - 05:43 - Surfaces and manifold 05:44 - 06:42 - Manifolds used in other subjects 06:43 - 15:11 - What is a manifold? 15:12 - 20:37 - What is chart and atlas? 20:38 - 23:25 - What is NOT a manifold? 23:26 - 24:48 - Different types of manifold 24:49 - 29:05 - Who coined the term 'manifold'? 29:06 - 30:00 - Summary Subscribe for more physics and mathematics videos: https://www.youtube.com/physicsforstu... Join this channel to get access to perks: / @physicsforstudents (1) Channel: https://www.youtube.com/physicsforstu... (2) Facebook: / physicsforstudent (3) Instagram: / physics_forstudents (4) Linkedin: / physicsforstudents Email: contact.physicsforstudents@gmail.com Contact: +91 9830219677 The objective of this channel is to provide educative videos on physics and mathematics. Playlists: (1) Most watched videos • Most watched videos (2) General Relativity • General Theory of Relativity (3) Special Relativity • Плейлист (4) Topology • Topology (5) Black Holes • Плейлист (6) Career In Mathematics • How To Learn Physics and Mathematics (7) Differential Geometry • Differential Geometry Lectures (8) Maxwell's Equations • Maxwell's Equations for Students (9) Real Analysis • Плейлист (10) Vectors and Tensors • Vectors and Tensors (11) Tagore Einstein conversations • Tagore-Einstein Conversation (1930) (12) History of Science • Biographies (13) Concept Building • Concept Building (14) Classical Physics • Classical Physics (15) Stephen Hawking • Плейлист (16) Grigori Perelman • Grigori Perelman (17) Basic Mathematics • Плейлист (18) Calculus https://www.youtube.com/playlist?list... Me 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. Copyright © 2021 Physics for Students. All rights reserved. #physicsforstudents #differentialgeometrylecturevideo #differentialgeometrylectureseries #differentialgeometry #differentialgeometryandtensoranalysis #differentialgeometrymanifold #whydoweneedamanfold #differentialgeometryvisual #differentialgeometrymadeeasy #differentialgeometrysimpleapproach #differentialgeometrypgtrb #differentialgeometrymcqquestions #differentialgeometrypolytechnictrb #differentialgeometrypgtrbquestions #whatisdifferentialgeometry #bernhardriemann #bernhardriemannbiography #manifold #whatisamanifold #bernhardriemann #riemanniangeometry #tensors #tensorcalculus #tensoranalysis #whyshouldistudydifferentialgeometry #differentialgeometryforbeginners #beginnersguidetodifferentialgeometry #differentialgeometrymadeeasy #differentialgeometryfordummies