How to self study pure math - a step-by-step guide

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 ( LINEAR ALGEBRA Book: “Linear Algebra Done Right” by Sheldon Axler Videos: Sheldon Axler’s Playlist ( POINT SET TOPOLOGY Online Notes with Problems: MAT327 Course Notes ( 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 ( GROUP THEORY Book: “Topics in Algebra” by Herstein (Chapter 2) Videos: Lectures by Benedict Gross ( GALOIS THEORY Notes by Tom Leinster: ~tl/gt/ 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: ~hatcher/AT/) Videos: Lectures by Pierre Albin ( 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)
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