Work through graduate-level problems using Rudin's Real and Complex Analysis. The skill guides theorem selection for measure theory, integration, and complex analysis, with commands for textbook searches, symbolic calculations, and verification.
Problem-solving with Rudin's Real and Complex Analysis textbook
Review the instructions the agent will receive before you install.
Reference skill for Walter Rudin's "Real and Complex Analysis" (3rd Edition) - a graduate-level text covering measure theory, integration, functional analysis, and complex analysis.
Use this skill when working on:
Measure/Integration Problem?
Complex Analysis Problem?
Functional Analysis?
uv run python scripts/ragie_query.py --query "YOUR_TOPIC measure integration" --partition math-textbooks --top-k 5
uv run python scripts/sympy_compute.py integrate "exp(-x**2)" --var x --bounds "0,oo"
uv run python scripts/z3_solve.py prove "forall x, |f(x)| <= M implies bounded"
| Theorem | Chapter | Use Case |
|---|---|---|
| Dominated Convergence | Ch 1 | Interchange limit and integral |
| Riesz Representation | Ch 2 | Identify dual spaces |
| Cauchy's Theorem | Ch 10 | Contour integrals = 0 for analytic |
| Residue Theorem | Ch 10 | Evaluate real integrals |
| Open Mapping | Ch 5 | Surjective bounded linear maps |
See .claude/skills/math-mode/SKILL.md for full tool documentation.
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