What is a differential form? - Mathematics Stack Exchange 69 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)?
real analysis - Rigorous definition of differential - Mathematics . . . 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
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
differential geometry - Introductory texts on manifolds - Mathematics . . . 3) Manifolds and differential geometry, by Jeffrey Marc Lee (Google Books preview) 4) Also, I just recently recommended this site in answer to another post; the site is from Stanford University; it offers a vast menu of detailed handouts used as the text for a class there on Differential Geometry, each handout accessible downloadable as a pdf