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Math
List of awesome math books: ( () is less experience with)
Number Theory
- Hardy & Wright
- Ireland & Rosen
- Davenport's Multiplicative Number Theory
- Apostle's Multiplicative Number Theory
- Ramakrishnan & Valenza's ANT
- Uspensky & Heaslet
- Shanks
- Montgomery, Niven, and Zuckerman
- (G. Andrews)
- (Davenport's Higher Arithmetic)
Elliptic Cuves
Modular Forms
(More) Upper Half Plane etc.
- Serre's Course in Arithmetic
- S. Katok's Fuchsian Groups
Geometry
- Coxeter
- Euclid's Elements
Functional Analysis / Operator Theory / Linear Algebra
- Halmos' Finite Dimensional Vector Spaces
- Reed & Simon
Abstract Algebra
Analysis
Matrix Analysis
Combinatorics/Partitions
- George Andrews' Theory of Partitions
- Bogart
and countless others I can't think of right now (actually countably many)