List questions from infinitesimals

Published on 23 Jun 2016 - 4:45

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What is the use of hyperreal numbers?

Published on 29 Mar 2026 - 3:28

114

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Different kind of infinitesimals or zeros

Published on 28 Jun 2016 - 20:26

318

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What are the grounds for treating 'dx(differential, infinitesimal)' as if they were numbers?

Published on 04 Jul 2016 - 6:11

136

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Can you recommend me any books about infinitesimal probability?

Published on 04 Jul 2016 - 14:31

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How $\frac{dx}{dy}=f(x)g(y) \Leftrightarrow \int \frac{dx}{f(x)} = \int g(y)dy$?

Published on 28 Mar 2026 - 22:29

707

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Derivative of a little-o remainder

Published on 20 Apr 2013 - 8:31

321

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Why every member of ${}^{}\mathbb{R}$ is infinitely close to some member of ${}^{}\mathbb{Q}$

Published on 28 Mar 2026 - 23:59

90

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How to show $\chi_{{}^{}P} ={}^{}\chi_{P}$ by transfer principle?

Published on 29 Mar 2026 - 3:28

184

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More than one dx under integral

Published on 10 May 2013 - 12:47

234

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What is this limit called? Is it a different kind of derivative?

Published on 13 May 2013 - 19:34

67

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What is $(\operatorname{monad}(0), \leq)$ isomorphic to?

Published on 28 Mar 2026 - 23:58

938

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Nilpotent infinitesimals comparison

Published on 22 May 2013 - 5:41

215

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rigorous treatment of infinitesimal reparametrizations

Published on 25 Mar 2026 - 8:09

4.1k

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Formal definition of the Differential of a function

Published on 14 Jun 2013 - 1:10

List Question

Is a limit a formalized infinitesimal?

What is the use of hyperreal numbers?

Different kind of infinitesimals or zeros

What are the grounds for treating 'dx(differential, infinitesimal)' as if they were numbers?

Can you recommend me any books about infinitesimal probability?

How $\frac{dx}{dy}=f(x)g(y) \Leftrightarrow \int \frac{dx}{f(x)} = \int g(y)dy$?

Derivative of a little-o remainder

Why every member of ${}^{}\mathbb{R}$ is infinitely close to some member of ${}^{}\mathbb{Q}$

How to show $\chi_{{}^{}P} ={}^{}\chi_{P}$ by transfer principle?

More than one dx under integral

What is this limit called? Is it a different kind of derivative?

What is $(\operatorname{monad}(0), \leq)$ isomorphic to?

Nilpotent infinitesimals comparison

rigorous treatment of infinitesimal reparametrizations

Formal definition of the Differential of a function

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