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This video has a list of books, videos, and exercises that goes through the undergrad pure mathematics curriculum from start to finish. --- REAL ANALYSIS Book: “Understanding Analysis” by Stephen Abbott. Videos: Lectures by Francis Su ( • Real Analysis: Lectures by Professor Franc... ) LINEAR ALGEBRA Book: “Linear Algebra Done Right” by Sheldon Axler Videos: Sheldon Axler’s Playlist ( • Linear Algebra Done Right ) POINT SET TOPOLOGY Online Notes with Problems: MAT327 Course Notes (http://www.math.toronto.edu/ivan/mat3...) COMPLEX ANALYSIS Intro Book: “Visual Complex Functions: an Introduction with Phase Portraits” by Elias Wegert More Technical Book: “Complex Analysis” by Serge Lang Videos: Wesleyan University Playlist ( • Плейлист ) GROUP THEORY Book: “Topics in Algebra” by Herstein (Chapter 2) Videos: Lectures by Benedict Gross ( • Abstract Algebra ) GALOIS THEORY Notes by Tom Leinster: https://www.maths.ed.ac.uk/~tl/gt/gt.pdf DIFFERENTIAL GEOMETRY Book: Introduction to Differentiable Manifolds and Riemannian Geometry by Boothby ALGEBRAIC TOPOLOGY Book: Algebraic Topology by Allen Hatcher (available for free on his website: https://pi.math.cornell.edu/~hatcher/...) Videos: Lectures by Pierre Albin ( • Algebraic Topology: a beginner's course - ... ) Intro: (0:00) Linear Algebra: (0:36) Real Analysis: (2:20) Point Set Topology: (3:19) Complex Analysis: (4:09) Group Theory: (5:46) Galois Theory: (6:54) Differential Geometry: (7:23) Algebraic Topology: (8:44)