"텐서 (tensor)"의 두 판 사이의 차이

2016년 3월 7일 (월) 23:58 판

예
- 미분형식 skew-symmetric covariant 텐서장
- 메트릭 텐서 order 2인 symmetric covariant 텐서장
- 리만 곡률 텐서

다중선형대수학(multilinear algebra)
An Introduction to Tensors for Students of Physics and Engineering
Introduction to Tensor Calculus A.V.Smirnov
다양체 위의 미적분학
미분다양체 위에 정의되는 텐서장
- 미분형식
물리적 양의 불변성
reparametrization invariance
Keeping track of it all requires what Elie Cartan called "une debauche d' indices", an intimidating proliferation of superscripts and subscripts.
covariant - lower indices -outgoing (pointlike) arrows
contravariant - upper indices - incoming (linelike) arrows
Math Overflow http://mathoverflow.net/search?q=

Taha Sochi, Introduction to Tensor Calculus, http://arxiv.org/abs/1603.01660v1
Gourgoulhon, Eric, Michal Bejger, and Marco Mancini. ‘Tensor Calculus with Open-Source Software: The SageManifolds Project’. arXiv:1412.4765 [gr-Qc, Physics:hep-Th, Physics:math-Ph], 15 December 2014. http://arxiv.org/abs/1412.4765.
Deans, S. R. 1971. “Covariant and Contravariant Vectors.” Mathematics Magazine 44 (1) (January 1): 5–8. doi:10.2307/2688847.

@@ 89번째 줄: / 89번째 줄: @@
 ==리뷰, 에세이, 강의노트==
+* Taha Sochi, Introduction to Tensor Calculus, http://arxiv.org/abs/1603.01660v1
 * Gourgoulhon, Eric, Michal Bejger, and Marco Mancini. ‘Tensor Calculus with Open-Source Software: The SageManifolds Project’. arXiv:1412.4765 [gr-Qc, Physics:hep-Th, Physics:math-Ph], 15 December 2014. http://arxiv.org/abs/1412.4765.
 * Deans, S. R. 1971. “Covariant and Contravariant Vectors.” Mathematics Magazine 44 (1) (January 1): 5–8. doi:10.2307/2688847.
 [[분류:미분기하학]]