Sebastian Lech

Notes on probability, mathematics, and quantitative finance.

I’m working through probability theory and its applications, with a focus on the mathematical foundations that underpin quantitative finance. These pages are my working notes — definitions, proofs, problem sets, and Python explorations.

Currently working through: Feller, An Introduction to Probability Theory and Its Applications, Vol. 1.


Notes

Conceptual notes organised by topic and chapter.

Probability Theory

Chapter Topic
1 — The Sample Space Sample spaces, events, combinatorics

Working Problems

Problem sets with solutions, sourced from Feller with quant finance extensions.

Probability — Feller Vol. 1

Problem Set Topics
Chapter 1 Sample spaces, counting, conditional probability

Notebooks

Jupyter notebooks — data analysis, visualisation, and applied projects.

Add your notebooks to notebooks/ and they’ll appear here.


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