Recommendations

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