New posts in infinitesimals

Is line element mathematically rigorous?

calculus multivariable-calculus differential-forms differential infinitesimals

Paradox about the volume of a cylinder

calculus integration proof-verification volume infinitesimals

Rigorous definition of "differential"

real-analysis calculus definition differential infinitesimals

Is this a correct/good way to think interpret differentials for the beginning calculus student?

calculus ordinary-differential-equations derivatives ratio infinitesimals

What is the meaning of infinitesimal?

calculus terminology intuition nonstandard-analysis infinitesimals

Calculus over $\mathbb{Q}$

calculus real-analysis continuity infinitesimals

Are infinitesimals dangerous?

calculus soft-question math-history nonstandard-analysis infinitesimals

Has anybody ever considered "full derivative"?

finite-differences nonstandard-analysis infinitesimals

Why is it considered that $(\mathrm d x)^2=0$?

calculus infinitesimals

How small is an infinitesimal quantity?

calculus math-history infinitesimals

Are infinitesimals equal to zero?

soft-question decimal-expansion infinitesimals

What is the use of hyperreal numbers?

analysis epsilon-delta nonstandard-analysis infinitesimals

Is it a new type of induction? (Infinitesimal induction) Is this even true?

proof-verification induction nonstandard-analysis infinitesimals

Problem with basic definition of a tangent line.

calculus definition infinitesimals tangent-line

Category-theoretic description of the real numbers

soft-question category-theory real-numbers infinitesimals

Why can't the second fundamental theorem of calculus be proved in just two lines?

calculus real-analysis infinitesimals

Is non-standard analysis worth learning?

analysis soft-question nonstandard-analysis infinitesimals

What is $dx$ in integration?

calculus infinitesimals