advanced_tools:differential_forms
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advanced_tools:differential_forms [2019/06/02 09:56] 2a02:8071:b5bd:8900:d0c6:3282:40d6:b753 |
advanced_tools:differential_forms [2023/01/27 15:41] (current) yys [+ book VDGF] |
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| ====== Differential Forms ====== | ====== Differential Forms ====== | ||
| - | Differential forms (co-vectors) are functions (elements of dual vector-space) which map vectors to real numbers. | + | |
| <tabbox Intuitive> | <tabbox Intuitive> | ||
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| <tabbox Concrete> | <tabbox Concrete> | ||
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| + | Differential forms (co-vectors) are functions (elements of dual vector-space) which map vectors to real numbers. | ||
| * For the basic idea, see http://jakobschwichtenberg.com/vectors-forms-p-vectors-p-forms-and-tensors/ | * For the basic idea, see http://jakobschwichtenberg.com/vectors-forms-p-vectors-p-forms-and-tensors/ | ||
| * One of the best introductions can be found in “Geometrical methods of mathematical physics” by Bernard F. Schutz | * One of the best introductions can be found in “Geometrical methods of mathematical physics” by Bernard F. Schutz | ||
| - | * [[http://www.math.cornell.edu/~sjamaar/manifolds/|Manifolds and Differential Forms]] lecture notes by Reyer Sjamaar | + | * [[https://web.archive.org/web/20180127144926/http://www.math.cornell.edu/~sjamaar/manifolds/|Manifolds and Differential Forms]] lecture notes by Reyer Sjamaar |
| * Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by John H. Hubbard and Barbara Burke Hubbard - Extremely student friendly, lots of margin notes that talk about the "soft" stuff that's so crucial to the actual practice of math. Reading just the margins jumps your mathematical maturity by 2 years. | * Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by John H. Hubbard and Barbara Burke Hubbard - Extremely student friendly, lots of margin notes that talk about the "soft" stuff that's so crucial to the actual practice of math. Reading just the margins jumps your mathematical maturity by 2 years. | ||
| + | * Another good introduction can be found in “Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts”(2021) by Tristan Needham | ||
| <tabbox Researcher> | <tabbox Researcher> | ||
advanced_tools/differential_forms.1559462174.txt.gz · Last modified: 2019/06/02 07:56 (external edit)
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