Orthogonal Curvilinear Coordinates
2-D cases

1. Cartesian coordinates, Polar coordinates
2. 关于Polar coordinates⾥的θ, r的确定。
☆3-D cases 

1. 关于cylindrical, Spherical ⾥的basis⾥⼏个factors 的确定CPU E
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Change of basis(coordinates).

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Jacobian
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Sff fax y z dxdydz J fit b 01 Hinodidodo
Cylindrical Sff toxin dxdydz J ftp0 tfdedodz
1. 对于scalar function的path integral

2. 对于Vector fields的path integral

3. Surface parametrisation

1. 地位同等于 parametrasption (相当于⼀种⼯具，有了他我们可以研究更多的问题)

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Path integral

scalar function

vector fields

Definition

Path integral (Vector fields )

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parametrize
Parametrised Surfaces 

原理：⽤两个vector来表示3D中的物体，surface

Identity few surfaces:
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Spherical
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Cylindrica
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更近⼀步，我们怎么样通过已知信息（φ(u ,v)）去求其他的信息
“partial derivative”
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outward inward
surface版本的scalar path integral.
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Hector surface integral E CI Fa Fa
II d5 J FI Elaine Fuxtul dude
dotproduct
I scalar function f 2 2
Vector function F 12,2
Meta dot product
Éosstridice
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Integral theorem.
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Divergence Than
Stokes Thr
Gauss Divergence Thu
Green Thn Pdxtody I 14 Ty dxdy
F dxidyl
F P.M
Area 218 Sent Clio
Divergence F Dharma
f boundary
DStokes Thn
Jax 15 1 ids
ground excluded
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