Read these and and think about becoming a theoretical physicist when/if you're done
>Introduction
Young and Freedman's University Physics with Modern Physics
>Undergrad Math
Calculus Vol I & II by Apostol
Linear Algebra and Its Applications by Strang
Ordinary Differential Equations by Tenenbaum
A Transition to Advanced Mathematics
Elements of Set Theory by Enderton
A Mathematical Introduction to Logic by Enderton
Generatingfunctionology by Wilf
Linear Algebra by Shilov
Complex Analysis by Bak
Probability and Random Processes by Grimmett and Stirzaker
Applied Partial Differential Equations by Haberman
Partial Differential Equations by Strauss
Numerical Analysis by Burden
Algebra by Artin
Topics in Algebra by Herstein
Geometry by Brannan
Topology by Munkres
Principles of Mathematical Analysis by Rudin
Differential Geometry of Curves and Surfaces by Do Carmo
Ordinary Differential Equations by Arnold
Algebraic Topology by Hatcher
Fourier Analysis; Complex Analysis; Real Analysis; Function Analysis by Stein
An Introduction to Probability Theory and Its Applications Vol. 1&2 by Feller
Partial Differential Equations by Jost
Basic Algebra I & II by Jacobson
Modern Graph Theory by Bollobás
A Classical Introduction to Modern Number Theory by Rosen
Introduction to Analytic Number Theory by Apostol
Enumerative Combinatorics by Stanley
>Undergrad Physics
Taylor's Classical Mechanics
Griffiths' Intro to Electrodynamics
Fowles' Introduction to Modern Optics
Shankar's Principles of Quantum Mechanics
Schroeder's An Introduction to Thermal Physics
Schutz's A First Course in Generaly Relativity
Ashcroft & Mermins, Solid State Physics
Goldstein's Classical Mechanics
Jackson's Classical Electrodynamics
Sakurai's Modern Quantum Mechanics
Peskin & Schroeder, An Introduction to Quantum Field Theory
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