Webpage of Jakub Smolik

About me

I am a CS student at the Faculty of Mathematics and Physics, Charles University in Prague. Lately I’ve been focusing on Set Theory, Ordinary Differential Equations and Number theory. Other than that, I enjoy Sci-fi and Fantasy literature, especially The Witcher series and the works of Brandon Sanderson.

You can contact me at smolikj (at) matfyz.cz

Yesterday is history, tomorrow is a mystery, but today is a gift. That is why it is called the present.

— Master Oogway

References

• my-papers - a collection of math related texts I have written over the years; most of them are in Czech
• mff-notes - a collection of notes from various courses at MFF UK
• github.com - my github profile
• itch.io - my game jam submissions
• bookmarks - useful links and resources
• gympl - notes (and other stuff) from high school

Favorite projects

• Introduction to Set Theory - in Czech
  • about 50 pages long, it covers the basics of the Zermelo-Fraenkel set theory, ordinals and the axiom of choice
  • I believe this to be a good starting point for anyone interested in Set Theory or the foundations of mathematics in general
• Direction Field Visualizer
  • a python application for visualizing direction fields and an art generator at the same time! There is also an image gallery.
• Introduction to Finite Calculus - in Czech
  • Finite Calculus is probably the most interesting field of mathematics that you’ve never heard of. Its beauty lies in its simplicity and power. It essentially allows you to find sums of series as if you were solving definite integrals.
  • This text is a short introduction to the subject, drawing parallels to the well known differential calculus and culminating in the proof of the Gregory-Newton interpolation formula. There are also about 20 solved exercises.
  • I have first learned about this fascinating topic from the excellent Concrete Mathematics by Graham, Knuth and Patashnik.
• Pacman
  • the original Pacman game implemented in Unity
  • my main reference for game mechanics was The Pac-Man Dossier