rudin-real-complex-analysis
Problem-solving with Rudin's Real and Complex Analysis textbook
Profile →npx skills add parcadei/Continuous-Claude-v3 --skill rudin-real-complex-analysis --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Rudin's Real and Complex Analysis 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. ## When to Use Use this skill when working on: - Measure theory and Lebesgue integration - Lp spaces and functional analysis - Complex analysis (analytic functions, contour integration, residues) - Connections between real and complex analysis ## Topics Covered ### Real Analysis - Limits and continuity in metric spaces - Convergence of sequences and series - Differentiation and integration techniques - Metric spaces and topology ### Complex Analysis - Analytic functions and Cauchy-Riemann equations - Contour integration and Cauchy's theorem - Residue theorem and applications - Conformal mappings - Power series representations ### Topology - Topological spaces - Compactness and connectedness - Metric space topology ### Algebra - Rings and ideals (in context of function spaces) ## Decision Tree 1. **Measure/Integration Problem?** - Use Lebesgue dominated convergence - Check Fatou's lemma for liminf/limsup - Apply Fubini-Tonelli for iterated integrals 2. **Complex Analys
- When to Use
- Topics Covered
- Real Analysis
- Complex Analysis
- Topology
- Algebra
- Decision Tree
- Tool Commands
- Query Rudin Content
- SymPy for Symbolic Computation
- Z3 for Verification
- Key Theorems Reference
- Cognitive Tools Reference
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"
What does the rudin-real-complex-analysis skill do?
Problem-solving with Rudin's Real and Complex Analysis textbook
How do I install it?
Run `npx skills add parcadei/Continuous-Claude-v3 --skill rudin-real-complex-analysis --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From parcadei/Continuous-Claude-v3, a repository with 3,885 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.