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12 votes
6 answers
3k views

Using differentials in physics [duplicate]

I was lately wondering about the use of differentials in physics. I mean, usually $dx$ is thought of as a small increment in $x$, but does this have any rigorous meaning mathematically. Doubts started ...
Gaston Castillo's user avatar
0 votes
1 answer
2k views

Use of infinitesimals in physics [duplicate]

I want to ask about infinitesimals and non-standard analysis. In physics we always use $\mathrm dx,~\mathrm dv,~\mathrm dt$ etc. as infinitesimal quantities. When we deduce equations in physics, when ...
Nesar's user avatar
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