Krystian Karczyński- 2 March 2026
Domain of a Function with e – Why “All Real Numbers” Is Often Wrong
Domain of a Function with e – Why “All Real Numbers” Is Often Wrong You see e(something)e^{(\text{something})} in...
- Krystian Karczyński
- 24 February 2026
Proof That √2 Is Not a Rational Number
Can every number be written as a fraction? For a long time, mathematics relied only on natural numbers,...
- Krystian Karczyński
- 10 February 2026
How to Understand What Multivariable Functions Are
Understanding from the very basics what a function of two or three variables actually is is extremely important...
- Krystian Karczyński
- 16 August 2024
Hyperbolic Functions to the Rescue – My New Lecture on the Blog
I wrote a new Lecture entirely dedicated to hyperbolic functions and their inverses. In it, I explain what...
- Krystian Karczyński
- 8 August 2024
Forbidden Formulas for Indefinite Integrals – Derivation of Formulas
Professors at universities have their own requirements. Many of them, for the good of their students, of course,...