http://www.bing.com:80/search?q=Differential+Geometry+in+Array+ProcessingSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Differential+Geometry+in+Array+ProcessingCopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/1358884/what-exactly-is-a-differentialThe right question is not "What is a differential?" but "How do differentials behave?". Let me explain this by way of an analogy. Suppose I teach you all the rules for adding and multiplying rational numbers. Then you ask me "But what are the rational numbers?" The answer is: They are anything that obeys those rules. Now in order for that to make sense, we have to know that there's at least ...Sun, 19 Apr 2026 17:00:00 GMThttps://math.stackexchange.com/questions/3379173/what-actually-is-a-differentialI 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...Mon, 20 Apr 2026 07:19:00 GMThttps://math.stackexchange.com/questions/23902/what-is-the-practical-difference-between-a-differential-and-a-derivativeAnyone who sees calculus in application is likely to encounter both derivatives and differentials. The two concepts have confusingly similar notation. For that reason, this post is a very important contribution.Mon, 20 Apr 2026 03:44:00 GMThttps://math.stackexchange.com/questions/1997424/rigorous-definition-of-differentialWhat 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.Wed, 22 Apr 2026 07:52:00 GMThttps://math.stackexchange.com/questions/5073500/why-can-we-treat-differential-operators-as-if-they-behave-like-algebraic-quantitThen one thinks of differential operators as a linear maps between such spaces. Often the space of all linear maps between two spaces is itself a vector space and so one can indeed start to manipulate differential operators as if they are ‘objects’ in their own right eg add them together.Thu, 16 Apr 2026 14:47:00 GMThttps://math.stackexchange.com/questions/5044062/what-is-the-difference-between-a-differential-and-a-differential-formA differential form is (technically) a function that we can calculate value at a point and AFAIK it has nothing to do with infinitesimals nor tends to anything. A course in precalculus, calculus, or even real analysis almost never gives an answer to "What is dx?". It is only until differential geometry, one gets to learn what it is. One should not learn these from Wikipedia but from a ...Mon, 20 Apr 2026 20:12:00 GMThttps://math.stackexchange.com/questions/2858098/what-is-a-differential-form75 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)?Fri, 17 Apr 2026 22:10:00 GMThttps://math.stackexchange.com/questions/5116022/proving-uniqueness-of-solution-of-a-differential-equationProving uniqueness of solution of a differential equation Ask Question Asked 3 months ago Modified 3 months agoSat, 04 Apr 2026 17:03:00 GMThttps://math.stackexchange.com/questions/1407707/differential-algebra-and-differential-algebraic-equationsA differential algebraic system of equations is a system of equations where some equations are algebraic equations and some are differential equations. The equations need not be polynomial.Thu, 16 Apr 2026 17:39:00 GMThttps://math.stackexchange.com/questions/tagged/differential-geometry?tab=NewestDifferential geometry is the application of differential calculus in the setting of smooth manifolds (curves, surfaces and higher dimensional examples). Modern differential geometry focuses on "geometric structures" on such manifolds, such as bundles and connections; for questions not concerning such structures, use (differential-topology) instead. Use (symplectic-geometry), (riemannian ...Fri, 17 Apr 2026 16:48:00 GMT