What is a differential form? - Mathematics Stack Exchange 67 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)?
reference request - Best Book For Differential Equations? - Mathematics . . . The differential equations class I took as a youth was disappointing, because it seemed like little more than a bag of tricks that would work for a few equations, leaving the vast majority of interesting problems insoluble Simmons' book fixed that
real analysis - Rigorous definition of differential - Mathematics . . . Now we define differential of f(x) as follows: df(x): = f ′ (x)dx Where df(x) is the differential of f(x) and dx is the differential of x 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
Kernel of Differential Operator - Mathematics Stack Exchange a linear n n th-order differential operator Since (∗) (∗) is a polynomial in symbol D D, somone can denote it as P(D) P (D) It seems you know that when all ai a i are constant, P(D) P (D) can be factored into differential operators of lower order, so that makes us to treat P(D) P (D) as an ordinary polynomial However, these extracted factors can commute with each other Now remind The