docs: Update README with Math Formulae Manager project description

- Replace generic sample app description with comprehensive project overview
- Add detailed feature descriptions for formula search, computation, and sharing
- Document unit management and d4rt interpreter integration
- Include rich formula documentation with markdown and images support
- Maintain existing project structure documentation

README.md

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+# Math Formulae Manager
+
+A comprehensive command-line application for managing and computing mathematical formulas across various disciplines including mathematics, physics, medicine, and engineering.
+
+## Features
+
+### Formula Search and Computation
+- Search through a vast collection of formulas from multiple domains:
+  - Mathematics
+  - Physics
+  - Medical sciences
+  - Engineering
+  - And more!
+- Input values for formula variables
+- Get computed results with proper units
+
+### Unit Management
+- Each data value includes its magnitude and unit
+- Convert between different units seamlessly
+- Automatic unit validation and conversion
+
+### Formula Editor
+- Built-in formula editor using the d4rt interpreter
+- Create and modify formulas with ease
+- Syntax highlighting and validation
+
+### Formula Sharing
+- Share formulas with other users
+- Import formulas from the community
+- Collaborative formula database
+
+### Rich Formula Documentation
+Each formula includes:
+- **The formula itself** - Mathematical expression
+- **Explanation** - Detailed description in Markdown format
+- **Images** - Visual diagrams, graphs, or illustrations
+- **Examples** - Sample calculations and use cases
+
+## Project Structure
+
+- `bin/` - Main executable and entry point
+- `lib/` - Core library code and formula engine
+- `test/` - Unit tests and formula validation tests
+
+## Getting Started
+
+[Installation and usage instructions to be added]
+
+## Contributing
+
+[Contribution guidelines to be added]