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Mathematics — Notes & Resources

A curated collection of mathematical notes, examples, and learning resources across multiple domains of the mathematical realm. This repository is a work in progress and contains lecture notes, practical examples, exercises, and links to tools to support learning and revision.


📚 Currently working on

  • Preparing lecture notes and problem sets for Mathematical Analysis and Probability & Stochastic methods.

🚩 Project scope

This project is organized by topic and contains concentrated study material for the following areas:

  • Mathematical Analysis — calculus, real analysis, etc.
  • Algebra — linear algebra, abstract algebra basics, etc.
  • Statistics — probability, inference, etc.
  • Stochastic — stochastic processes, time series, etc.
  • Applied — numerical methods, optimization, computational math, etc.

📂 Repository structure (high level)

(*) Has subfolders in the following structure: - Lectures/ - Examples/ - Exercises/ - References/

  • Mathematical-Analysis/Topics / (*) — README.md — OTHER
  • Algebra/Topics / (*) — README.md — OTHER
  • Statistics/Topics / (*) — README.md — OTHER
  • Stochastic/Topics / (*) — README.md — OTHER
  • Applied/Topics / (*) — README.md — OTHER

Each folder includes notebooks, example code, and references where applicable.


🔧 What you'll find here

  • Lecture notes and summarized explanations of key concepts.
  • Worked examples and small projects to demonstrate ideas.
  • Exercises and prep materials to practice and assess understanding.
  • Links to external tools (editors, IDEs, libraries, datasets) that help learning.
  • Jupyter notebooks and runnable code where relevant.

⚠️ Content is a work in progress — expect some sections to be incomplete or evolving.


✅ How to use this repository

  1. Browse the top-level folders to find the topic you want to study.
  2. Open notebooks in Jupyter or VS Code (recommended: Visual Studio Code + Python extension).
  3. Run examples locally and read the accompanying notes for context and explanation.
  4. If you add material, follow the contribution notes below so others can benefit.

🤝 Contributing

Contributions are welcome — add new notes, improve explanations, provide corrected examples, or add exercises.

  • Please open an issue to discuss additions or structural changes.
  • Submit changes via pull requests. Keep changes focused and add a short description of what you changed.
  • Add references and credit external sources when appropriate.

For more details on how to contribute, coding style, and PR expectations, see CONTRIBUTING.md.


⚠️ Disclaimer

This repository is maintained by a student for personal study and documentation purposes. It is not professional, certified, or intended for commercial or lucrative use. Materials may be incomplete or contain errors — use them for learning and reference only.


📜 License & attribution

This project's content is licensed under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0). See the LICENSE file for details. You are free to share and adapt the material for non-commercial purposes with proper attribution. If a specific file contains a different license or notice, follow the file-level terms.


Contact

If you have suggestions or questions, open an issue or submit a PR with improvements.


Last updated: December 18, 2025 — Work in progress

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