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https://github.com/davibarreira/mathematical-short-notes

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Host: GitHub
URL: https://github.com/davibarreira/mathematical-short-notes
Owner: davibarreira
Created: 2022-01-09T17:02:42.000Z (almost 3 years ago)
Default Branch: master
Last Pushed: 2024-07-26T11:53:24.000Z (5 months ago)
Last Synced: 2024-10-19T05:25:39.760Z (2 months ago)
Language: TeX
Size: 21.8 MB
Stars: 4
Watchers: 2
Forks: 0
Open Issues: 0
Metadata Files:
- Readme: README.md

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README

        #  Mathematical Short Notes

### :notebook: 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](https://emap.fgv.br/).

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.







## :file_folder: 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.

- ![0%](https://progress-bar.dev/1) - Category Theory;

- ![10%](https://progress-bar.dev/1) - Convergence Spaces and Point-Set Topology;

- ![10%](https://progress-bar.dev/10) - Real Analysis;

- ![0%](https://progress-bar.dev/0) - Linear Algebra;

- ![5%](https://progress-bar.dev/5) - Measure Theory;

- ![0%](https://progress-bar.dev/0) - Functional Analysis;

- ![5%](https://progress-bar.dev/5) - Probability;

- ![20%](https://progress-bar.dev/0) - Ordinary Differential Equations;

- ![90%](https://progress-bar.dev/90) - Mathematical Statistics;

- ![0%](https://progress-bar.dev/0) - Machine Learning;

- ![0%](https://progress-bar.dev/0) - Neural Networks;

- ![0%](https://progress-bar.dev/0) - Quantitative Finance and Stochastic Calculus;

- ![5%](https://progress-bar.dev/5) - Inequalities Galore;

- ![0%](https://progress-bar.dev/0) - 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][cc-by-nc-sa].

## PS

If you read Portuguese and is starting an undergraduate's course on Mathematics,

check out [this repo by @wellington36](https://github.com/wellington36/Resumos_EMAP-FGV).

[![CC BY-SA 4.0][cc-by-nc-sa-image]][cc-by-nc-sa]

[cc-by-nc-sa]: http://creativecommons.org/licenses/by-nc-sa/4.0/

[cc-by-nc-sa-image]: https://licensebuttons.net/l/by-nc-sa/4.0/88x31.png

[cc-by-nc-sa-shield]: https://img.shields.io/badge/License-CC%20BY--NC--SA%204.0-lightgrey.svg