Here are some of my favorite mathematics texts.

High School Math: the Art of Problem Solving books

Linear Algebra: *Linear Algebra Done Right*, Axler

Algebra, in general: *A Book of Abstract Algebra*, Pinter; *Algebra*, Lang

Galois Theory:* Galois Theory Through Exercises*, Brzezinski; Lang’s *Algebra* Ch. 5-6

Commutative Algebra: *Introduction to Commutative Algebra*, Atiyah-Macdonald, *Commutative Algebra with a View Toward Algebraic Geometry*, Eisenbud

Algebraic Geometry: *Foundations of Algebraic Geometry*, Vakil; *Algebraic Geometry*, Hartshorne

Arithmetic Geometry: *Rational Points on Varieties*, Poonen

Point-Set Topology: *Topology*, Munkres

Algebraic Topology: *A Concise Course in Algebraic Topology*, May; *Characteristic Classes*, Milnor-Stasheff

Analysis: *Principles of Mathematical Analysis*, Rudin