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Differential geometry | Differential geometry lecture video | Differential geometry lecture series
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#differentialgeometry
#differentialgeometrylecturevideo
#differentialgeometrylectureseries
About this video
This video is about differential geometry. In this differential geometry lecture video I have covered all the important concepts of differential geometry starting from the definition, the different branches, the definition of manifold, tangent vectors tangent bundles and many. Finally, I have covered the different job prospects and career oppurtunities that are there in differential geometry.
00:00 - 02:15 - Introduction & topics covered
02:16 - 06:59 - What is differential geometry?
07:00 - 11:30 - Branches of differential geometry
11:31 - 17:19 - Why we apply calculus to differential geometry?
17:20 - 24:08 - History of differential geometry
24:09 - 26:45 - Modern differential geometry
26:46 - 27:57 - Fundamental concepts of differential geometry
27:58 - 32:54 - What is a differentiable manifold?
32:55 - 34:31 - Tangent vectors and tangent bundles
34:32 - 38:19 - What is smoothness in mathematics?
38:20 - 40:18 - Why do we need smoothness in mathematics?
40:19 - 48:20 - What is diffeomorphism?
28:21 - 49:43 - Career and job prospects
49:44 - 51:20 - Summary & conclusion
Subscribe for more physics and mathematics videos:
Join this channel to get access to perks:
Contact: +91 9830219677
The objective of this channel is to provide educative videos on physics and mathematics.
Playlists:
(1) Most watched videos
(2) Quantum Mechanics
(3) Special Relativity
(4) General Relativity
(5) Black Holes
(6) Differential Geometry
(7) Topology
(8) Vectors and Tensors
(9) Real Analysis
(10) Maxwell's Equations
(11) Classical Physics
(12) Basic Mathematics
(13) Calculus
(14) Concept Building
(15) How To Learn Mathematics
(16) Tagore Einstein conversations
(17) Biographies
(18) Grigori Perelman
(19) String Theory
(20) Shorts
My name is Shounak. I teach in a college.
Copyright © 2021 Physics for Students. All rights reserved.
#physicsforstudents
#differentialgeometrylecture
#differentialgeometrymscmathematics
#differentialgeometryandtensoranalysis
#differentialgeometrybscmathematics
#differentialgeometrypgtrb
#differentialgeometrymcqquestions
#differentialgeometrypolytechnictrb
#differentialgeometrypgtrbquestions
#whatisdifferentialgeometry
#bernhardriemann
#bernhardriemannbiography
#manifold
#whatisamanifold
#topologymathematics
#topologymathematicslecture
#riemanniangeometry
#nikolailobachevsky
#michaelatiyah
#janosboylai
#disquisitionesgeneralescircasuperficiescurvas
#shingtungyau
#shingtungyaumath
#shingtungyauperelman
#riccitensor
#christoffelsymbol
#christoffelsymbolsarenottensors
#manifold
#topology
#topologymathematics
#topologylecture
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#topologymathematicslecture
#tensors
#tensorcalculus
#tensoranalysis
#historyofdifferentialgeometry
#whyshouldistudydifferentialgeometry
#differentialgeometryforbeginners
#beginnersguidetodifferentialgeometry
#differentialgeometrymadeeasy
#differentialgeometryfordummies
#differentialgeometrylecturevideo
#differentialgeometrylectureseries
About this video
This video is about differential geometry. In this differential geometry lecture video I have covered all the important concepts of differential geometry starting from the definition, the different branches, the definition of manifold, tangent vectors tangent bundles and many. Finally, I have covered the different job prospects and career oppurtunities that are there in differential geometry.
00:00 - 02:15 - Introduction & topics covered
02:16 - 06:59 - What is differential geometry?
07:00 - 11:30 - Branches of differential geometry
11:31 - 17:19 - Why we apply calculus to differential geometry?
17:20 - 24:08 - History of differential geometry
24:09 - 26:45 - Modern differential geometry
26:46 - 27:57 - Fundamental concepts of differential geometry
27:58 - 32:54 - What is a differentiable manifold?
32:55 - 34:31 - Tangent vectors and tangent bundles
34:32 - 38:19 - What is smoothness in mathematics?
38:20 - 40:18 - Why do we need smoothness in mathematics?
40:19 - 48:20 - What is diffeomorphism?
28:21 - 49:43 - Career and job prospects
49:44 - 51:20 - Summary & conclusion
Subscribe for more physics and mathematics videos:
Join this channel to get access to perks:
Contact: +91 9830219677
The objective of this channel is to provide educative videos on physics and mathematics.
Playlists:
(1) Most watched videos
(2) Quantum Mechanics
(3) Special Relativity
(4) General Relativity
(5) Black Holes
(6) Differential Geometry
(7) Topology
(8) Vectors and Tensors
(9) Real Analysis
(10) Maxwell's Equations
(11) Classical Physics
(12) Basic Mathematics
(13) Calculus
(14) Concept Building
(15) How To Learn Mathematics
(16) Tagore Einstein conversations
(17) Biographies
(18) Grigori Perelman
(19) String Theory
(20) Shorts
My name is Shounak. I teach in a college.
Copyright © 2021 Physics for Students. All rights reserved.
#physicsforstudents
#differentialgeometrylecture
#differentialgeometrymscmathematics
#differentialgeometryandtensoranalysis
#differentialgeometrybscmathematics
#differentialgeometrypgtrb
#differentialgeometrymcqquestions
#differentialgeometrypolytechnictrb
#differentialgeometrypgtrbquestions
#whatisdifferentialgeometry
#bernhardriemann
#bernhardriemannbiography
#manifold
#whatisamanifold
#topologymathematics
#topologymathematicslecture
#riemanniangeometry
#nikolailobachevsky
#michaelatiyah
#janosboylai
#disquisitionesgeneralescircasuperficiescurvas
#shingtungyau
#shingtungyaumath
#shingtungyauperelman
#riccitensor
#christoffelsymbol
#christoffelsymbolsarenottensors
#manifold
#topology
#topologymathematics
#topologylecture
#topologydemonstrations
#topologymathematicslecture
#tensors
#tensorcalculus
#tensoranalysis
#historyofdifferentialgeometry
#whyshouldistudydifferentialgeometry
#differentialgeometryforbeginners
#beginnersguidetodifferentialgeometry
#differentialgeometrymadeeasy
#differentialgeometryfordummies
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