New posts in infinitesimals

Definition of tangent

How is the concept of the limit the foundation of calculus?

First year calculus student: why isn't the derivative the slope of a secant line with an infinitesimally small distance separating the points?

Products of Infinitesimals

Defining the Derivative using Internal Set Theory (Non Standard Analysis)

What is the topology of the hyperreal line?

What meaning did Riemann assign to $dx$?

If $dx$ is just syntax and not an infinitesimal then why do we apply operations to it?

What's an example of an infinitesimal?

What does limit actually mean?

Who gave you the epsilon?

Nontrivial trivial integrals

Justification of algebraic manipulation of infinitesimals

little-o and its properties

Intuition for a physical real line vs. a physical "hyperreal line"

More numbers between $[0,1]$ or $[1,\infty)$?

Why is zero the only infinitesimal real number?

Can we make it equal to x?

Which universities teach true infinitesimal calculus?

Is $0$ an Infinitesimal?