"텐서 (tensor)"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) (section '리뷰, 에세이, 강의노트' updated) |
Pythagoras0 (토론 | 기여) (section '리뷰, 에세이, 강의노트' updated) |
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| 89번째 줄: | 89번째 줄: | ||
==리뷰, 에세이, 강의노트== | ==리뷰, 에세이, 강의노트== | ||
| + | * A. Woszczyna, P. Plaszczyk, W. Czaja, Z. A. Golda, Symbolic Tensor Calculus -- Functional and Dynamic Approach, 10.4467/2353737XCT.15.110.4147, http://dx.doi.org/10.4467/2353737XCT.15.110.4147, http://arxiv.org/abs/1603.05819v1 | ||
* Taha Sochi, Introduction to Tensor Calculus, http://arxiv.org/abs/1603.01660v1 | * 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. | * 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. | ||
2016년 3월 20일 (일) 22:58 판
개요
다중선형대수학의 기초 개념
예
- physics examples
- moment of inertia tensor
- stress tensor
- moment of inertia tensor
- angular velocity 벡터를 rotational momenta 벡터로 보낸다
텐서장 (tensor field)
역사
- Ricci's tensor analysis
- http://www.google.com/search?hl=en&tbs=tl:1&q=
- 수학사 연표
메모
- 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=
관련된 항목들
사전 형태의 자료
리뷰, 에세이, 강의노트
- A. Woszczyna, P. Plaszczyk, W. Czaja, Z. A. Golda, Symbolic Tensor Calculus -- Functional and Dynamic Approach, 10.4467/2353737XCT.15.110.4147, http://dx.doi.org/10.4467/2353737XCT.15.110.4147, http://arxiv.org/abs/1603.05819v1
- 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.