What bothers me is this definition is completely circular. I mean we are defining differential by differential itself. Can we define differential more precisely and rigorously? P.S. Is it possible to define differential simply as the limit of a difference as the difference approaches zero?: $$\mathrm {d}x= \lim_ {\Delta x \to 0}\Delta x$$ Thank you in advance.
I am a bit confused about differentials, and this is probably partly due to what I find to be a rather confusing teaching approach. (I know there are a bunch of similar questions around, but none o...
75 can someone please informally (but intuitively) explain what "differential form" mean? I know that there is (of course) some formalism behind it - definition and possible operations with differential forms, but what is the motivation of introducing and using this object (differential form)?
Birmingham borders the Black Country to its west and, together with the city of Wolverhampton and towns including Dudley and Solihull, forms the West Midlands conurbation. The royal town of Sutton Coldfield is incorporated within the city limits to the northeast.
Algebraic and differential geometry stand as two intertwined pillars of modern mathematics. Whereas algebraic geometry investigates the solution sets of polynomial equations using the refined language ...
Forza Horizon is a spin-off game in the Forza Motorsport series, which was first released on in North America. A demo was released on . The first trailer for Forza Horizon was leaked on . It showed several sports cars racing in a open environment based around a musical festival.[1] It was developed by Playground Games and Turn 10 Studios. As opposed to other Forza Motorsport titles, Forza Horizon approaches an arcade-style gameplay with slightly...