feat: update README.md for improved clarity and installation instructions

README.md

@@ -9,11 +9,13 @@ app_file: app.py
 pinned: false
 ---
 
-# Math Tools
+[![Python](https://img.shields.io/badge/python-3.8%2B-blue.svg)](https://www.python.org/downloads/) [![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](LICENSE)
 
 ## Overview
 
-This application provides a suite of mathematical tools organized by topic (e.g., Algebra, Calculus, Differential Equations) rather than by education level. It's built with Python and Gradio to offer interactive calculators for various mathematical domains.
+Math Tools is a suite of interactive mathematical calculators and solvers, organized by topic (Algebra, Calculus, Differential Equations, etc.) and built with Python and Gradio. It is designed for students, educators, and anyone needing quick, visual math solutions.
+
+---
 
 ## Features
 
@@ -28,6 +30,38 @@ This application provides a suite of mathematical tools organized by topic (e.g.
 - **Vectors**: Addition, Subtraction, Dot Product, Cross Product
 - **Operations Research**: Branch & Bound, Dual Simplex, Simplex Solver Steps
 
+---
+
+## Getting Started
+
+### Installation
+
+1. **Clone the repository:**
+
+   ```bash
+   git clone https://github.com/yourusername/math-tools.git
+   cd math-tools
+   ```
+
+2. **Install dependencies:**
+
+   ```bash
+   pip install -r requirements.txt
+   ```
+
+3. **Run the app:**
+
+   ```bash
+   python app.py
+   ```
+
+### Usage
+
+- Open the app in your browser (Gradio will provide a local URL).
+- Select a topic tab and use the calculators or solvers interactively.
+
+---
+
 ## Project Structure
 
 ```text
@@ -37,35 +71,36 @@ counting/
 ├── README.md                           # Project documentation (this file)
 └── maths/                              # Mathematical modules organized by topic
     ├── arithmetic/                     # Arithmetic logic & interfaces
-    │   ├── arithmetic.py
-    │   └── arithmetic_interface.py
     ├── number_theory/                  # Number theory logic & interfaces
-    │   ├── number_theory.py
-    │   └── number_theory_interface.py
     ├── algebra/                        # Algebra logic & interfaces
-    │   ├── algebra.py
-    │   └── algebra_interface.py
     ├── equations/                      # Equation solvers & interfaces
-    │   ├── equations.py
-    │   └── equations_interface.py
     ├── geometry/                       # Trigonometry & geometry logic & interfaces
-    │   ├── geometry.py
-    │   └── geometry_interface.py
     ├── calculus/                       # Calculus logic & interfaces
-    │   ├── calculus.py
-    │   └── calculus_interface.py
     ├── differential_equations/         # ODE solvers & interfaces
-    │   ├── differential_equations.py
-    │   └── differential_equations_interface.py
     ├── matrices/                       # Matrix operations logic & interfaces
-    │   ├── matrices.py
-    │   └── matrices_interface.py
     ├── vectors/                        # Vector operations logic & interfaces
-    │   ├── vectors.py
-    │   └── vectors_interface.py
     └── operations_research/            # Operations research solvers & interfaces
-        ├── operations_research_interface.py
-        ├── BranchAndBoundSolver.py
-        ├── DualSimplexSolver.py
-        └── simplex_solver_with_steps.py
 ```
+
+---
+
+## Example
+
+![Math Tools Screenshot](docs/screenshot.png)
+
+---
+
+## Contributing
+
+Contributions are welcome! To contribute:
+
+1. Fork this repository
+2. Create a new branch (`git checkout -b feature/your-feature`)
+3. Commit your changes
+4. Open a pull request
+
+---
+
+## License
+
+This project is licensed under the MIT License. See the [LICENSE](LICENSE) file for details.