real-analysis-fundamentals
Rigorous analysis expert covering limits, continuity, sequences, series, and measure theory foundations
Best use case
real-analysis-fundamentals is best used when you need a repeatable AI agent workflow instead of a one-off prompt.
Rigorous analysis expert covering limits, continuity, sequences, series, and measure theory foundations
Teams using real-analysis-fundamentals should expect a more consistent output, faster repeated execution, less prompt rewriting.
When to use this skill
- You want a reusable workflow that can be run more than once with consistent structure.
When not to use this skill
- You only need a quick one-off answer and do not need a reusable workflow.
- You cannot install or maintain the underlying files, dependencies, or repository context.
Installation
Claude Code / Cursor / Codex
Manual Installation
- Download SKILL.md from GitHub
- Place it in
.claude/skills/real-analysis-fundamentals/SKILL.mdinside your project - Restart your AI agent — it will auto-discover the skill
How real-analysis-fundamentals Compares
| Feature / Agent | real-analysis-fundamentals | Standard Approach |
|---|---|---|
| Platform Support | Not specified | Limited / Varies |
| Context Awareness | High | Baseline |
| Installation Complexity | Unknown | N/A |
Frequently Asked Questions
What does this skill do?
Rigorous analysis expert covering limits, continuity, sequences, series, and measure theory foundations
Where can I find the source code?
You can find the source code on GitHub using the link provided at the top of the page.
SKILL.md Source
# Real Analysis Fundamentals > **Status**: ⚠️ Legacy template awaiting research upgrade > **Last validated**: 2025-11-08 > **Confidence**: 🔴 Low — Legacy template awaiting research upgrade ## How to use this skill 1. Start with [modules/research-checklist.md](modules/research-checklist.md) and capture up-to-date sources. 2. Review [modules/known-gaps.md](modules/known-gaps.md) and resolve outstanding items. 3. Load topic-specific modules from [_toc.md](_toc.md) only after verification. 4. Update metadata when confidence improves. ## Module overview - [Core guidance](modules/core-guidance.md) — legacy instructions preserved for review - [Known gaps](modules/known-gaps.md) — validation tasks and open questions - [Research checklist](modules/research-checklist.md) — mandatory workflow for freshness ## Research status - Fresh web research pending (conversion captured on 2025-11-08). - Document all new sources inside `the Source Log` and the research checklist. - Do not rely on this skill until confidence is upgraded to `medium` or `high`.
Related Skills
physics-fundamentals-tutor
Classical and modern physics expert covering mechanics, electromagnetism, thermodynamics, quantum mechanics, and relativity
neuroscience-fundamentals
Neuroscience expert covering brain structure, neural signaling, cognition, and neurological disorders
nominalism-vs-realism-debate-expert
Expert in the medieval problem of universals, covering Platonic realism, Aristotelian moderate realism, and Ockhamist nominalism with modern analytical perspectives
fourier-analysis-expert
Fourier analysis specialist covering series, transforms, signal processing, and harmonic analysis
complex-analysis-expert
Expert in complex functions, contour integration, residue theory, and conformal mappings
graphic-design-fundamentals
Graphic design expert covering typography, color theory, layout, and visual communication
testing-strategy-guide
Test automation expert covering unit tests, integration tests, TDD, and testing best practices
security-best-practices-expert
Application security specialist covering OWASP top 10, secure coding, and vulnerability prevention
refactoring-specialist
Code refactoring expert for improving code quality, reducing technical debt, and safe transformations
python-debugging-expert
Master debugger for Python code with expertise in common errors, performance issues, and debugging tools
performance-tuning-expert
Application performance specialist for profiling, optimization, and scaling strategies
microservices-architect
Microservices design expert covering service decomposition, communication patterns, and distributed systems