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#howtolearndifferentialgeometry #differentialgeometrymscmathematics #differentialgeometry How to learn differential geometry? What are the fundamental concepts of differential geometry? In this video, I have discussed the basic fundamental concepts of differential geometry. I have also suggested the best book and the best online resources that are availble. It is often better to go through specific notes, thereby learning the fundamental concepts easier and faster. 00:00 - 01:23 - Introduction 01:24 - 03:43 - The appraoch 03:44 - 05:48 - Fundamental concepts of differential geometry 05:49 - 07:02 - What is curvature? 07:03 - 08:33 - What is manifold? 08:34 - 09:50 - What are tangent spaces? 09:51 - 10:34 - What are vector fields? 10:35 - 11:20 - What is a geodesic? 11:21 - 12:24 - What is Riemannian Metric? 12:25 - 13:26 - What is Differential form? 13:27 - 15:28 - Best book and resources on Manifold 15:29 - 17:20 - Best book and resources on Curvature 17:21 - 18:33 - Best book and resources on Tangent spaces 18:34 - 19:17 - Best book and resources on Vector fields 19:18 - 20:24 - Best book and resources on Geodesics 20:25 - 22:06 - Best book and resources on Riemannian metric 22:07 - 23:07 - Best book and resources on Differential form 23:08 - 25:27 - How to get these resources Curvature: https://math.hawaii.edu/~lee/calculus... https://faculty.sites.iastate.edu/jia... https://web.ma.utexas.edu/users/drp/f... https://rucore.libraries.rutgers.edu/... Manifold https://dept.math.lsa.umich.edu/~jchw... https://bjlkeng.io/posts/manifolds/ Tangent Space https://bose.res.in/~amitabha/diffgeo... http://www.math.caltech.edu/~2016-17/... Vector Fields https://calcworkshop.com/vector-calcu... Geodesics https://www2.math.upenn.edu/~shiydong... https://www.mathi.uni-heidelberg.de/~... https://faculty.sites.iastate.edu/jia... Riemannian Metric http://bcas.du.ac.in/wp-content/uploa... https://www.cis.upenn.edu/~cis6100/ci... https://www.cis.upenn.edu/~cis6100/ci... https://maths-people.anu.edu.au/~andr... Differential Form https://www.math.purdue.edu/~arapura/... https://www.cefns.nau.edu/~schulz/dif... http://www.physics.mcgill.ca/~keshav/... https://math.mit.edu/classes/18.952/2... 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 Copyright © 2021 Physics for Students. All rights reserved. #bestdifferentialgeometrybook #bestbooksondifferentialgeometry #bestbooksfordifferentialgeometry #physicsforstudents #differentialgeometrylecturevideo #differentialgeometrylectureseries #differentialgeometryandtensoranalysis #differentialgeometrypgtrb #differentialgeometrymcqquestions #differentialgeometrypolytechnictrb #differentialgeometrypgtrbquestions #whatisdifferentialgeometry #differentialgeometryfundamentalconcepts #differentialgeometryforbeginners #beginnersguidetodifferentialgeometry #differentialgeometrymadeeasy #differentialgeometryfordummies #howtostudydifferentialgeometry #differentialgeometryofcurvesandsurfaces #acomprehensiveintroductiontodifferentialgeometry #bestbookondifferentialgeometry #differentialgeometrybooks #differentialgeometryandtensoranalysis #differentialgeometryandtensor #differentialgeometryandtensorcalculus #differentialgeometryandtensoranalysisbsc3rdyear #differentialgeometryandtensor #curvesandsurfaces #curvesandsurfacesinthreedimensions #differentialgeometryhonours3rdyear #differentialgeometrymsc #differentialgeometryeasybook #whichbooktoreadindifferentialgeometry #howtolearndifferentialgeometry #riemanniangeometry #riemanniangeometryandgeometricanalysis