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name: sympy-computer-algebra description: Symbolic computation using SymPy for Python-based mathematical analysis allowed-tools:

• Bash
• Read
• Write
• Edit
• Glob
• Grep metadata: specialization: mathematics domain: science category: symbolic-computation phase: 6 graph: domains: [domain:mathematics] specializations: [specialization:computational-mathematics] skillAreas: [skill-area:mathematical-reasoning, skill-area:computational-geometry, skill-area:graph-algorithms] workflows: [workflow:experiment-design] roles: [role:computational-scientist, role:research-scientist]

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SymPy Computer Algebra

Purpose

Provides symbolic computation capabilities using SymPy for Python-based mathematical analysis and manipulation.

Capabilities

• Symbolic differentiation and integration
• Equation solving (algebraic, differential)
• Series expansion and limits
• Matrix algebra and linear algebra
• Pattern matching and simplification
• Code generation (NumPy, C, Fortran)

Usage Guidelines

1. Symbol Definition: Define symbols with appropriate assumptions
2. Expression Building: Construct symbolic expressions
3. Simplification: Apply appropriate simplification strategies
4. Code Generation: Export to efficient numerical code

Tools/Libraries

• SymPy
• NumPy
• mpmath