davibarreira / Mathematical-Short-Notes

Mathematical Short Notes

📓 A collection of notes on a variety of Mathematical topics.

This repo is a collection of notes based on the courses I've been taking during my masters and now my PhD, at FGV School of Applied Mathematics EMAp.

I just started writing this recently, and I intend to keep updating it as I study and revise subjects. Some of the notes are in hand-written form, and I intend to transcribe them to LaTeX. But this might take some time.

Some subjects are naturally programming oriented and I intend to provide some code in Julia, which I find ideal for mathematical modelling.

📁 Content of the Repository

Here is a summary of what is in this repository (note that this is not static, and I'll update as I write more stuff).

Each note uses different books are references, but I'll put here the main reference for each, unless the note is really a mixture of things.

The percentage is related to how much I have written compared to what I still intend on writing about the subject, and not how much of the subject is covered.

When appropriate, I'll try to write some Julia code inside each subject.

• - Category Theory;
• - Convergence Spaces and Point-Set Topology;
• - Real Analysis;
• - Linear Algebra;
• - Measure Theory;
• - Functional Analysis;
• - Probability;
• - Ordinary Differential Equations;
• - Mathematical Statistics;
• - Machine Learning;
• - Neural Networks;
• - Quantitative Finance and Stochastic Calculus;
• - Inequalities Galore;
• - Fourier Transform;

Citing

For citation, you can use the bibtex:

@misc{2021msn,
  author = {Davi Sales Barreira},
  title = {Mathematical Short Notes},
  howpublished = "\url{http://https://github.com/davibarreira/Mathematical-Short-Notes}",
  year = {2021}, 
}

LICENSE

These notes are licensed under Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International.

PS

If you read Portuguese and is starting an undergraduate's course on Mathematics, check out this repo by @wellington36.