Mathematician how-to
How to Write a Clear Mathematical Proof
Clear proofs persuade.
Quick answer
Clear proofs persuade. In short: state; define; choose, then complete the remaining steps below.
Step by step
State the theorem.
Define terms.
Choose a method.
Write each step.
Justify every claim.
Review for gaps.
Safety reminders for mathematicians
- Protect classified data
- Follow research ethics
- Document assumptions
- Disclose limitations
Key terms
Proof · Theorem · Model · Algorithm · Differential equation · Linear algebra: see the full mathematician glossary.