This note collection is a comprehensive resource for exploring various topics in mathematics, including pure mathematics, applied mathematics, and mathematical foundations. It serves as a guide to understanding mathematical concepts, theories, and applications.

In the past few years, I have accumulated a wealth of knowledge in mathematics, and hundreds of pages of notes and resources. Therefore, I am trying to reorganize the notes from my own math note and this. I will also progressively add notes on the topic I am currently studying, such as probability theory and statistics.