Real analysis

Best real analysis books and tools

Resources for Real analysis under Mathematics. Pair these picks with articles on thestemprofessor.com.

• Principles of Mathematical Analysis (Walter Rudin) — Classic rigorous real analysis — match your course edition.
• Understanding Analysis (Stephen Abbott) — More approachable proof-first real analysis.
• Elementary Analysis (Kenneth Ross) — Gentle introduction to limits and continuity before Rudin.
• Introduction to Real Analysis (Bartle & Sherbert) — Mainstream alternative with clear examples.
• STEM lab notebook (grid + ruled) — Keep lab notes, units, and sketches in one place.
• Index cards for formulas and terms — Quick review between lectures and problem sets.