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)
1 view
87
18
3 weeks ago 00:02:45 1
GIMP 3.0 Released: Explore the Top 5 Game-Changing Features!
3 weeks ago 00:10:43 1
The Sad Psychology Behind Elon Musk’s Lying
3 weeks ago 00:00:17 1
How to Stay Loyal 💔 [ANIME]
4 weeks ago 00:01:00 1
“Try These Tortilla Rolls with Filling – Quick and Delicious Recipe! 🌯✨“