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Module Details

Course : P-11.differential Geometry

Subject : Mathematics

No. of Modules : 70

Level : PG

Source : E-PG Pathshala

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Sr. No. Title E-Text Video URL Metadata
1 M-01. introduction of tensors: contravariant and covariant vectors - Click Here
2 M-02. introduction of tensors: higher order tensors - Click Here
3 M-09. geometry of space curve: intrinsic derivative and curvilinear coordinate system in space - Click Here
4 M-10. geometry of space curve: serret-frenet formulii for space curve - Click Here
5 M-06. riemannian space: applications of fundamental metric tensors - Click Here
6 M-04. algebra of tensors: symmetricness of tensors and quotient law - Click Here
7 M-11. geometry of space curve: some particular type of space curves - Click Here
8 M-03. algebra of tensors: algebraic operations on tensors - Click Here
9 M-08. derivatives of tensors: covariant differentiation - Click Here
10 M-05. riemannian space: fundamental metric tensor - Click Here
11 M-07. derivatives of tensors: christoffel symbols - Click Here
12 M-19. surface embedded in space: gauss and weingarten formulas and third fundamental form of a surface - Click Here
13 M-13. surface: parametric representation of surfaces and first fundamental form - Click Here
14 M-18. surface embedded in space: second fundamental form and its applications - Click Here
15 M-15. curvature on surface: parallel vector field and gaussian curvature - Click Here
16 M-20. surface embedded in space: gauss and codazzi- mainardi equations - Click Here
17 M-17. curvature on surface: intrinsic geometry of curves on surface-2 - Click Here
18 M-16. curvature on surface: intrinsic geometry of curves on surface-1 - Click Here
19 M-12. geometry of space curve: fundamental theorem for space curve - Click Here
20 M-14. surface: geodesic on a surface - Click Here
21 M-24.asymptotic lines, euler's theorem on normal curvature and dupin indicatrix - Click Here
22 M-21.meusnier's theorem and theorema eggregium of gauss - Click Here
23 M-27.gauss-bonnet theorem with some applications (continued) - Click Here
24 M-28.applications of tensors in physical laws and equations - Click Here
25 M-23.lines of curvature and rodrigue's formula - Click Here
26 M-26.gauss-bonnet theorem with some applications - Click Here
27 M-25.problems on surface embedded in space - Click Here
28 M-29.mappings on surfaces and spaces - Click Here
29 M-22.principal curvature - Click Here
30 M-34.applications of differential geometry in general theory of relativity and cosmology (continued) - Click Here
31 M-35.applications of differential geometry in general theory of relativity and cosmology (continued) - Click Here
32 M-33.applications of differential geometry in general theory of relativity and cosmology - Click Here
33 M-32.the inside geometry of the special theory of relativity - Click Here
34 M-30.problems on surface embedded in space (continued) - Click Here
35 M-31.mappings on surfaces and spaces (continued) - Click Here
36 M-01. introduction of tensors: contravariant and covariant vectors - Click Here
37 M-06. riemannian space: applications of fundamental metric tensors - Click Here
38 M-04. algebra of tensors: symmetricness of tensors and quotient law - Click Here
39 M-03. algebra of tensors: algebraic operations on tensors - Click Here
40 M-02. introduction of tensors: higher order tensors - Click Here
41 M-05. riemannian space: fundamental metric tensor - Click Here
42 M-09. geometry of space curve: intrinsic derivative and curvilinear coordinate system in space - Click Here
43 M-13. surface: parametric representation of surfaces and first fundamental form - Click Here
44 M-15. curvature on surface: parallel vector field and gaussian curvature - Click Here
45 M-10. geometry of space curve: serret-frenet formulii for space curve - Click Here
46 M-11. geometry of space curve: some particular type of space curves - Click Here
47 M-12. geometry of space curve: fundamental theorem for space curve - Click Here
48 M-08. derivatives of tensors: covariant differentiation - Click Here
49 M-07. derivatives of tensors: christoffel symbols - Click Here
50 M-14. surface: geodesic on a surface - Click Here
51 M-24.asymptotic lines, euler's theorem on normal curvature and dupin indicatrix - Click Here
52 M-19. surface embedded in space: gauss and weingarten formulas and third fundamental form of a surface - Click Here
53 M-21.meusnier's theorem and theorema eggregium of gauss - Click Here
54 M-23.lines of curvature and rodrigue's formula - Click Here
55 M-18. surface embedded in space: second fundamental form and its applications - Click Here
56 M-20. surface embedded in space: gauss and codazzi- mainardi equations - Click Here
57 M-22.principal curvature - Click Here
58 M-17. curvature on surface: intrinsic geometry of curves on surface-2 - Click Here
59 M-16. curvature on surface: intrinsic geometry of curves on surface-1 - Click Here
60 M-33.applications of differential geometry in general theory of relativity and cosmology - Click Here
61 M-27.gauss-bonnet theorem with some applications (continued) - Click Here
62 M-28.applications of tensors in physical laws and equations - Click Here
63 M-32.the inside geometry of the special theory of relativity - Click Here
64 M-30.problems on surface embedded in space (continued) - Click Here
65 M-31.mappings on surfaces and spaces (continued) - Click Here
66 M-26.gauss-bonnet theorem with some applications - Click Here
67 M-25.problems on surface embedded in space - Click Here
68 M-29.mappings on surfaces and spaces - Click Here
69 M-34.applications of differential geometry in general theory of relativity and cosmology (continued) - Click Here
70 M-35.applications of differential geometry in general theory of relativity and cosmology (continued) - Click Here