Complete Vector Analysis Library for Mathematics and Physics
Project description
Vectorian - Complete Vector Analysis Library
Author: Arjun Singh Gangwar
Email: arjungangwariitpkd@.com
A comprehensive Python library for vector analysis covering everything from basic vector operations to advanced vector calculus and field theory.
Features
📐 Basic Vector Operations
- Vector addition, subtraction, scalar multiplication
- Dot product, cross product, triple product
- Magnitude, normalization, direction cosines
- Projection and rejection
🔄 Advanced Operations
- Gradient, Divergence, Curl (for vector fields)
- Laplacian operator
- Directional derivatives
- Jacobian matrix
📊 Vector Fields
- Scalar and vector fields
- Field visualization
- Field line computation
- Conservative field detection
🧮 Calculus Operations
- Line integrals
- Surface integrals
- Volume integrals
- Green's theorem
- Stokes' theorem
- Divergence theorem
🔧 Transformations
- Rotation matrices
- Reflection
- Scaling
- Coordinate system transformations (Cartesian ↔ Spherical ↔ Cylindrical)
Installation
pip install vectorian
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