📊 Advanced Mathematics Library VB.NET

A comprehensive mathematics library in VB.NET providing advanced operations such as linear algebra, calculus, and statistics to support your development needs.

🌟 Key Features

🔢 Matrix Operations

• Matrix transpose
• Determinant calculation (2x2)
• Basic matrix manipulation

📐 Calculus

• Numerical derivatives
• Numerical integration (rectangular method)
• Basic mathematical functions

📊 Statistics

• Mean calculation
• Variance calculation
• Standard deviation calculation

🛠️ Additional Utilities

• Random matrix generator
• Basic math functions (factorial, power)

📂 Project Structure

Mathematics-VB/
├── src/
│   ├── Core/
│   │   └── MathBase.vb
│   ├── Algebra/
│   │   └── Matrix.vb
│   ├── Calculus/
│   │   └── Derivative.vb
│   └── Statistics/
│       └── BasicStats.vb
├── Tests/
│   └── TestRunner.vb
└── Utils/
    └── MathHelper.vb

🚀 How to Use

1. Clone and Initialize the Project

git clone https://github.com/sazumivicky/Mathematics-VB.git

2. Open the solution in Visual Studio.
3. Build and run the project.

💡 Example Usage

' Matrix Operations
Dim matrix As New Matrix(2, 2)
Dim transposed = matrix.Transpose()

' Calculus
Dim deriv As New Derivative()
Dim result = deriv.NumericalDerivative(Function(x) x * x, 2.0)

' Statistics
Dim stats As New BasicStats()
Dim data = New Double() {1, 2, 3, 4, 5}
Dim mean = stats.Mean(data)
Dim stdDev = stats.StandardDeviation(data)

📖 Class Documentation

🧮 Matrix Class

• Create a new matrix:

  Dim matrix As New Matrix(rows, cols)

• Calculate determinant (2x2):

  Dim det = matrix.Determinant()

• Transpose a matrix:

  Dim transposed = matrix.Transpose()

📉 Derivative Class

• Calculate numerical derivative:

  Dim deriv As New Derivative()
  Dim result = deriv.NumericalDerivative(Function(x) x * x, 2.0)

• Perform simple integration:

  Dim integral = deriv.SimpleIntegration(Function(x) x * x, 0, 1)

📊 BasicStats Class

• Basic statistical operations:

  Dim stats As New BasicStats()
  Dim mean = stats.Mean(data)
  Dim variance = stats.Variance(data)
  Dim stdDev = stats.StandardDeviation(data)

🛠️ Technologies Used

• Visual Basic .NET
• .NET Framework
• Visual Studio IDE

💻 System Requirements

• .NET Framework 4.5 or higher
• Visual Studio 2017 or later

🤝 Contribution

We welcome contributions! Follow these steps to contribute:

1. Fork this repository.
2. Create a new feature branch (git checkout -b feature/new-feature).
3. Commit your changes (git commit -m 'Add new feature').
4. Push to the branch (git push origin feature/new-feature).
5. Open a Pull Request.

📝 License

Distributed under the MIT License. See the LICENSE file for more details.

📧 Contact

Sazumi Viki
✉️ Email: root@sazumi.moe

🔗 Project Link: Mathematics-VB on GitHub