contour-integrals

Community

Solve complex contour integrals

Authorparcadei
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This Skill provides strategies and tools for solving contour integrals in complex analysis, simplifying complex mathematical computations.

Core Features & Use Cases

  • Integral Type Selection: Guides the choice of contour based on the integral's form (e.g., improper integrals, trigonometric functions, branch cuts).
  • Residue Theorem Application: Facilitates the use of the Residue Theorem for calculation.
  • Tool Integration: Leverages sympy_compute.py for symbolic computation of poles and residues.
  • Use Case: Calculate the definite integral of a function from negative infinity to positive infinity using a semicircular contour and the Residue Theorem.

Quick Start

Use the contour-integrals skill to compute the integral of 1/(x^2 + 1) from -infinity to infinity.

Dependency Matrix

Required Modules

None required

Components

scriptsreferences

💻 Claude Code Installation

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Please help me install this Skill:
Name: contour-integrals
Download link: https://github.com/parcadei/Continuous-Claude-v3/archive/main.zip#contour-integrals

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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