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+# Contributing to PyNumDiff
+
+Thank you for your interest in contributing to PyNumDiff! This document provides guidelines and instructions for contributing to the project.
+
+## Table of Contents
+
+- [How Can I Contribute?](#how-can-i-contribute)
+- [Development Setup](#development-setup)
+- [Code Style Guidelines](#code-style-guidelines)
+- [Testing Guidelines](#testing-guidelines)
+- [Pull Request Process](#pull-request-process)
+- [Reporting Bugs](#reporting-bugs)
+- [Proposing Features](#proposing-features)
+
+## How Can I Contribute?
+
+### Contributing Code
+
+1. Look for issues labeled `good first issue` if you're new to the project
+2. Fork the repository
+3. Create a branch for your changes
+4. Make your changes following our guidelines
+5. Submit a pull request
+
+## Development Setup
+
+### Prerequisites
+
+- Python 3.11 or higher
+- Git
+- (Optional) A virtual environment manager (venv, conda, etc.)
+
+### Setting Up the Development Environment
+
+1. **Fork the repository** on GitHub
+
+2. **Clone your fork** locally:
+   ```bash
+   git clone https://github.com/YOUR_USERNAME/PyNumDiff.git
+   cd PyNumDiff
+   ```
+
+3. **Add the upstream repository**:
+   ```bash
+   git remote add upstream https://github.com/florisvb/PyNumDiff.git
+   ```
+
+4. **Create a virtual environment** (recommended):
+   ```bash
+   # Using venv
+   python -m venv venv
+   
+   # Activate on Windows
+   venv\Scripts\activate
+   
+   # Activate on macOS/Linux
+   source venv/bin/activate
+   ```
+
+5. **Install the package in development mode**:
+   ```bash
+   pip install -e .
+   ```
+
+6. **Install development dependencies**:
+   ```bash
+   pip install pytest pylint
+   ```
+
+7. **Verify the installation**:
+   ```bash
+   pytest -s
+   ```
+
+### Project Structure
+
+- `pynumdiff/` - Main source code
+- `examples/` - Jupyter notebook examples
+- `docs/` - Documentation source files
+- `.github/workflows/` - GitHub Actions CI configuration
+- `tests/` - Test files (if applicable)
+
+## Code Style Guidelines
+
+### Python Style Guide
+
+There's no strict coding style enforced. The main guideline is to match the existing code style in the project. When contributing:
+
+- Match existing method signatures and docstring formats
+- Follow the naming conventions used in the existing codebase
+- Use 4 spaces for indentation (no tabs)
+
+### Code Quality
+
+The project uses `pylint` for code quality checks. While linting hasn't been strictly enforced recently, it will be important for the planned JOSS (Journal of Open Source Software) submission, which has stricter requirements.
+
+To run linting checks:
+
+1. **Run pylint** on your changes:
+   ```bash
+   pylint pynumdiff/
+   ```
+
+2. **Or use the project's linting script**:
+   ```bash
+   python linting.py
+   ```
+
+### Editor Configuration
+
+The project includes an `.editorconfig` file that ensures consistent formatting. Most modern editors support EditorConfig automatically.
+
+## Testing Guidelines
+
+### Running Tests
+
+PyNumDiff uses `pytest` for testing. To run tests:
+
+```bash
+# Run all tests
+pytest -s
+
+# Run tests with plots (to visualize method results)
+pytest -s --plot
+
+# Run tests with bounds (to print log error bounds)
+pytest -s --bounds
+```
+
+### Writing Tests
+
+- Write tests for new features and bug fixes
+- Follow the existing test structure
+- Ensure all tests pass before submitting a PR
+- Tests should be deterministic and not depend on external resources
+
+The test suite is organized into several test files:
+- `test_diff_methods`: Broadly tests for correctness and ability to actually differentiate
+- `test_utils`: Contains tests of miscellaneous functionality like simulations and evaluation metrics
+- `test_optimize`: Tests the hyperparameter optimization code
+
+### Continuous Integration
+
+The project uses GitHub Actions for continuous integration. All pull requests are automatically tested. Make sure your changes pass all CI checks before requesting a review.
+
+## Pull Request Process
+
+### Before Submitting
+
+1. **Update your fork** with the latest changes from upstream:
+   ```bash
+   git fetch upstream
+   git checkout master
+   git merge upstream/master
+   ```
+
+2. **Create a feature branch**:
+   ```bash
+   git checkout -b feature/your-feature-name
+   # or
+   git checkout -b fix/your-bug-fix-name
+   ```
+
+3. **Make your changes** following the code style guidelines
+
+4. **Write or update tests** as needed
+
+5. **Run tests** to ensure everything passes:
+   ```bash
+   pytest -s
+   ```
+
+6. **Run linting** to check code quality:
+   ```bash
+   python linting.py
+   ```
+
+7. **Commit your changes** with clear, descriptive commit messages (see [Commit Messages](#commit-messages))
+
+### Submitting a Pull Request
+
+1. **Push your branch** to your fork:
+   ```bash
+   git push origin feature/your-feature-name
+   ```
+
+2. **Open a Pull Request** on GitHub:
+   - Go to the [PyNumDiff repository](https://github.com/florisvb/PyNumDiff)
+   - Click "New Pull Request"
+   - Select your fork and branch
+   - Fill out the PR template with:
+     - A clear title and description
+     - Reference to the related issue (e.g., "Fixes #169")
+     - Description of changes
+     - Any breaking changes
+
+3. **Wait for CI** to run and ensure all checks pass
+
+4. **Respond to feedback** from maintainers and reviewers
+
+5. **Keep your PR up to date** by rebasing on master if needed:
+   ```bash
+   git fetch upstream
+   git rebase upstream/master
+   git push --force-with-lease origin feature/your-feature-name
+   ```
+
+### PR Guidelines
+
+- Smaller, focused PRs are generally easier to review
+- Ensure all CI checks pass
+- Request review from maintainers when ready
+- Be responsive to feedback
+
+## Reporting Bugs
+
+### Before Submitting a Bug Report
+
+1. **Check existing issues** to see if the bug has already been reported
+2. **Test with the latest version** to ensure the bug still exists
+3. **Check the documentation** to ensure you're using the library correctly
+
+### How to Report a Bug
+
+When reporting a bug, please include:
+
+1. **Clear and descriptive title**
+2. **Steps to reproduce**:
+   - What you were trying to do
+   - What you expected to happen
+   - What actually happened
+3. **Minimal code example** that reproduces the issue
+4. **Environment information**:
+   - Python version
+   - PyNumDiff version
+   - Operating system
+5. **Error messages** or stack traces (if applicable)
+6. **Additional context** (screenshots, data files, etc.)
+
+### Bug Report Template
+
+```markdown
+**Describe the bug**
+A clear and concise description of what the bug is.
+
+**To Reproduce**
+Steps to reproduce the behavior:
+1. ...
+2. ...
+
+**Expected behavior**
+A clear and concise description of what you expected to happen.
+
+**Code example**
+```python
+# Minimal code that reproduces the issue
+```
+
+**Environment**
+- Python version: 
+- PyNumDiff version:
+- OS:
+
+**Additional context**
+Add any other context about the problem here.
+```
+
+## Proposing Features
+
+### Before Proposing a Feature
+
+1. **Check existing issues** to see if the feature has been discussed
+2. **Consider the scope** - is it within the project's goals?
+3. **Think about implementation** - is it feasible?
+
+### How to Propose a Feature
+
+When proposing a feature, please include:
+
+1. **Clear and descriptive title**
+2. **Problem statement**: What problem does this feature solve?
+3. **Proposed solution**: How would you implement it?
+4. **Alternatives considered**: What other approaches did you consider?
+5. **Additional context**: Examples, use cases, etc.
+
+### Feature Request Template
+
+```markdown
+**Is your feature request related to a problem?**
+A clear and concise description of what the problem is.
+
+**Describe the solution you'd like**
+A clear and concise description of what you want to happen.
+
+**Describe alternatives you've considered**
+A clear and concise description of any alternative solutions or features you've considered.
+
+**Additional context**
+Add any other context or examples about the feature request here.
+```
+
+## Commit Messages
+
+We encourage descriptive commit messages that explain what changed and why. 
+Long, detailed commit messages are appreciated as they help others understand 
+the project's history.
+
+### Types
+
+- `feat`: A new feature
+- `fix`: A bug fix
+- `docs`: Documentation only changes
+- `style`: Code style changes (formatting, missing semicolons, etc.)
+- `refactor`: Code refactoring without changing functionality
+
+## Questions?
+
+If you have questions about contributing:
+
+1. Check the [documentation](https://pynumdiff.readthedocs.io/)
+2. Look through [existing issues](https://github.com/florisvb/PyNumDiff/issues)
+3. Open a new issue with the `question` label
+
+## Additional Resources
+
+- [PyNumDiff Documentation](https://pynumdiff.readthedocs.io/)
+- [Project README](README.md)
+- [GitHub Issues](https://github.com/florisvb/PyNumDiff/issues)
+- [PEP 8 Style Guide](https://www.python.org/dev/peps/pep-0008/)
+- [pytest Documentation](https://docs.pytest.org/)
+
+Thank you for contributing to PyNumDiff! 🎉
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