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Real Analysis

Rigorous limits, continuity, compactness, and convergence on the real line — the machinery that makes calculus honest.

4 resources

3 types

Jump to YouTube 2 Courses 1 Articles 1

YouTube Playlists 2 playlists

Harvey Mudd — Francis Su, Real Analysis

Full semester of lectures on the reals, metric ideas, sequences, series, and continuity. Warm, proof-heavy classroom energy.

ProofsClassroom

MIT — 18.100A Real Analysis (Fall 2020)

MIT lectures on the real numbers, sequences, series, continuity, and integration — aligned with a modern introductory analysis course.

AcademicRigorous

Courses 1 course

MIT 18.100A — Real Analysis (Fall 2020)

OCW page for the Fall 2020 offering: notes, homework, exams, and links to videos. Uses Jiří Lebl’s free text as the main book.

Articles & References 1 read

Jiří Lebl — Basic Analysis I & II

Free PDFs for a full undergraduate real analysis sequence — definitions, theorems, and exercises in one place.