The motivation of differential form, I think, is created to deal with the integral on manifold. But in most textbooks, differential forms is introduced by some other knowledges about covectors, tensor products... But in the proof of most theorems of integral of Manifolds, I can't see many connections with covectors, tensor products... I can't see how they can be created together. Even, if the concept of differential form defined without introducing covectors and tensor products, will any problems happen?
2026-04-25 17:51:20.1777139480
The motivation of differential forms
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