Agent skill

Rudin Real Complex Analysis

by parcadei in parcadei/Continuous-Claude-v3

Problem-solving with Rudin's Real and Complex Analysis textbook

MITAuto-check: notesResearch & Science

Install Rudin Real Complex Analysis

skills CLI
$ npx skills add parcadei/Continuous-Claude-v3 --skill rudin-real-complex-analysis -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install parcadei/Continuous-Claude-v3 rudin-real-complex-analysis --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .claude/skills && cp -r skills-src/.claude/skills/math/rudin-real-complex-analysis .claude/skills/rudin-real-complex-analysis && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
rudin-real-complex-analysis
GitHub stars
3.9k
Used in
1 other repo
Token cost
~642 tokens
SKILL.md length
240 words
Files
1
Skills in repo
141
Repo updated
First seen
Licence
MIT

At a glance

Problem-solving with Rudin's Real and Complex Analysis textbook

  • Works in 3 steps: Measure/Integration Problem? → Complex Analysis Problem? → Functional Analysis?
  • Research & Science work in your project
  • SKILL.md covers When to Use, Topics Covered, Decision Tree and Tool Commands, plus 2 more sections
  • Calls uv

What it does

Rudin Real Complex Analysis is an agent skill from parcadei/Continuous-Claude-v3. Problem-solving with Rudin's Real and Complex Analysis textbook

Its SKILL.md is about 640 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

It sits in Research & Science. The repository describes itself as: Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows. The licence is MIT.

When your agent uses it

  • Research & Science work in your project

Example prompts

  • “/rudin-real-complex-analysis”

Requirements

  • Python 3
  • Pre-approved tools (allowed-tools): Bash, Read

Workflow steps

3 steps, taken from the first numbered list in SKILL.md.

  1. Measure/Integration Problem?
  2. Complex Analysis Problem?
  3. Functional Analysis?

What it can do on your machine

Read from SKILL.md and the folder at commit d07ff4b. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves these tools, so the agent can use them without asking each time:

    • Bash
    • Read

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Shell commands in SKILL.md call:

    • uv

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md. Its commands use uv, which can reach the network depending on how they are called.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Rudin Real Complex Analysis loads about 642 tokens when it runs. Until then it costs about 23 tokens; SKILL.md has 240 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~23
When it runs · the whole SKILL.md, loaded when a task matches
~642

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check: notes

The automated check noted patterns worth knowing about, such as sudo or a known installer.

  • NotePre-approves every shell command (allowed-tools: Bash)SKILL.md
    allowed-tools: Bash, Read

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from parcadei/Continuous-Claude-v3 at commit d07ff4b, republished under its MIT licence (© parcadei). 240 words, ~642 tokens.

Download SKILL.mdSave it as .claude/skills/rudin-real-complex-analysis/SKILL.md (or your agent's skills folder).
name
rudin-real-complex-analysis
description
Problem-solving with Rudin's Real and Complex Analysis textbook
allowed-tools
Bash, Read

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 Analysis Problem?

    • Check analyticity via Cauchy-Riemann
    • For integrals: residue theorem
    • For mappings: Schwarz lemma, conformal properties
  3. Functional Analysis?

    • Riesz representation for duals
    • Hahn-Banach for extensions
    • Open mapping/closed graph theorems

Tool Commands

Query Rudin Content
bash
uv run python scripts/ragie_query.py --query "YOUR_TOPIC measure integration" --partition math-textbooks --top-k 5
SymPy for Symbolic Computation
bash
uv run python scripts/sympy_compute.py integrate "exp(-x**2)" --var x --bounds "0,oo"
Z3 for Verification
bash
uv run python scripts/z3_solve.py prove "forall x, |f(x)| <= M implies bounded"

Key Theorems Reference

TheoremChapterUse Case
Dominated ConvergenceCh 1Interchange limit and integral
Riesz RepresentationCh 2Identify dual spaces
Cauchy's TheoremCh 10Contour integrals = 0 for analytic
Residue TheoremCh 10Evaluate real integrals
Open MappingCh 5Surjective bounded linear maps

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

© parcadei, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in .claude/skills/math/rudin-real-complex-analysis of parcadei/Continuous-Claude-v3.

Open the folder on GitHubat commit d07ff4b

Used in 1 other repository

We found 1 copy of this SKILL.md (exact, near-identical or edited) in other folders, from 1 other GitHub owner. This page covers the copy in parcadei/Continuous-Claude-v3, which our catalogue first saw on October 7, 2026.

Compare with similar skills

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Questions about Rudin Real Complex Analysis

What does Rudin Real Complex Analysis do?

Problem-solving with Rudin's Real and Complex Analysis textbook. Rudin Real Complex Analysis is an agent skill from parcadei/Continuous-Claude-v3.

When should I use Rudin Real Complex Analysis?

Rudin Real Complex Analysis fits situations like: research & Science work in your project.

How do I install Rudin Real Complex Analysis in Claude Code?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill rudin-real-complex-analysis -a claude-code`. Or copy the skill folder (.claude/skills/math/rudin-real-complex-analysis in parcadei/Continuous-Claude-v3) into .claude/skills/rudin-real-complex-analysis in your project. Claude Code loads it when a task matches its description.

How do I install Rudin Real Complex Analysis in Codex?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill rudin-real-complex-analysis -a codex`. Or copy the skill folder (.claude/skills/math/rudin-real-complex-analysis in parcadei/Continuous-Claude-v3) into .agents/skills/rudin-real-complex-analysis in your project. Codex loads it when a task matches its description.

Can I use Rudin Real Complex Analysis in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add parcadei/Continuous-Claude-v3 --skill rudin-real-complex-analysis -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/rudin-real-complex-analysis, .gemini/skills/rudin-real-complex-analysis, .github/skills/rudin-real-complex-analysis and .opencode/skills/rudin-real-complex-analysis in your project.

What does Rudin Real Complex Analysis need to run?

Going by SKILL.md and its folder, Rudin Real Complex Analysis needs the command-line tools its instructions call (uv). Our summary lists: Python 3. Its frontmatter pre-approves these tools: Bash, Read.

Does Rudin Real Complex Analysis access the network?

SKILL.md contains no URLs. Its commands use uv, which can reach the network depending on how they are called. This is read from the text; nothing was executed.

Is Rudin Real Complex Analysis safe to install?

Our automated static check of SKILL.md found notes only (pre-approves every shell command (allowed-tools: bash)), nothing it rates as a warning. It is not a guarantee. Review the folder before installing.

What licence does Rudin Real Complex Analysis use?

Rudin Real Complex Analysis is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Rudin Real Complex Analysis use?

About 642 tokens (SKILL.md is roughly 2.6k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Rudin Real Complex Analysis?

Skills that share tags, products or a category with Rudin Real Complex Analysis: Hypothesis Generation (spacering-net/codeg, 3.9k stars), GitHub Deep Research (bytedance/deer-flow, 84k stars), Nature Paper Card (Yuan1z0825/nature-skills, 47k stars) and Content Research Writer (weapp-tailwindcss/weapp-tailwindcss, 1.9k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Rudin Real Complex Analysis?

parcadei (a GitHub user) maintains it in parcadei/Continuous-Claude-v3, which has 3,943 GitHub stars. The repository holds 141 skills in this directory. The repository was last updated on January 26, 2026.

Source: parcadei/Continuous-Claude-v3 on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.