Mathematics Notes

Welcome to my comprehensive collection of mathematics notes! This repository contains detailed notes covering a wide range of mathematical topics, designed to provide a thorough understanding of the subject matter for anyone pursuing a bachelor's degree in mathematics. In general, this repository will be updated weekly or biweekly with small things I learn along the way.

Overview

The notes in this repository encompass various branches and topics within mathematics. Whether you're studying for exams, working on assignments, or exploring mathematical concepts, these notes are structured to support your learning journey.

Table of Contents

Foundational Topics

• Set Theory
• Topology
• Number Theory

Analysis

• Real Analysis
• Vector Analysis
• Metric and Normed Spaces
• Complex Analysis
• Fourier Analysis
• Functional Analysis

Algebra

• Linear Algebra
• Group Theory
• Ring Theory

Differential Equations

• Ordinary Differential Equations
• Partial Differential Equations

Applied Mathematics

• Numerical Analysis
• Combinatorics
• Probability Theory
• Statistics
• Stochastic Processes

Advanced Topics

• Measure Theory
• Algebraic Topology

Special Objects

• Special Functions
• Special Polynomials
• Special Numbers
• Special Notations

Physics

• Classical Mechanics

Computer Science

• Theory of Computation
• Algorithms and Data Structures
• Artificial Intelligence

Miscellaneous

• Fractional Calculus
• Umbral Calculus
• Finite Operator Calculus
• Useful Identities
• Macroeconomics

Getting Started

To get started with the notes, you can clone the repository using the following command:

git clone https://github.com/CasuallyPassingBy/My_Notes.git

Feel free to navigate through the directories and explore the notes on various topics. If you find any issues or have suggestions for improvements, please open an issue or submit a pull request. Since almost everything is markdown and they are linking to each other I reccomend using Obsidian, and open a vault on the directory called Notes. This is the way I personally use this repository.

Contributing

If you would like to contribute to the notes, please follow these steps:

• Fork the repository.
• Create a new branch for your changes.
• Make your modifications or additions.
• Commit your changes with a clear message.
• Push your changes to your forked repository.
• Open a pull request to merge your changes into the main repository.

License

This project is licensed under the MIT License. See the LICENSE file for details.

Contact

If you have any questions or feedback, you can reach out to me via emial or through the GitHub Issues page.