I'm putting together a list to hopefully help those who are seeking a textbook to use. Please feel free to offer suggestions/corrections/etc. I'm starting with math and physics for now but will branch out into other subjects after having a solid foundation. At some point in the future, I hope to have reviews or descriptions about each book, but that could take a while. Math Calculus: Calculus - Volume 1 and 2 - Tom Apostol Calculus - Michael Spivak Calculus on Manifolds - Michael Spivak Differential and Integral Calculus (Volumes 1 and 2) - Richard Courant Calculus: An Intuitive and Physical Approach - Morris Kline Calculus: Early Transcendentals - James Stewart Calculus (Early/Late Transcendentals) - Howard Anton, Irl Bivens, Stephen Davis Vector Calculus - Jerrold Marsden, Anthony Tromba Linear Algebra: Linear Algebra - Kenneth Hoffman, Ray Kunze Linear Algbera - Serge Lang Linear Algebra Done Right - Sheldon Axler Linear Algebra - Georgi Shilov Introduction to Linear Alebra - Gilbert Strang Advanced Linear Algebra - Steven Roman Differential Equations: Elementary Differential Equations and Boundary Value Problems - William Boyce, Richard DiPrima An Introduction to Ordinary Differential Equations - James Robinson Partial Differential Equations for Scientists and Engineers - S. Farlow Lectures on Partial Differential Equations - I. G. Petrovsky Lectures on Partial Differential Equations - Vladimir Arnold Analysis: Introductory Real Analysis - A. N. Kolmogorov, S. V. Formin Principles of Mathematical Analysis - Walter Rudin Real and Complex Analysis - Walter Rudin Real Analysis - N. L. Carothers Counterexamples in Analysis - B. R. Gelbaum, J. M. H. Olmsted Real Analysis - McShane, E.J. Botts Algebra: Algebra - Serge Lang Abstract Algebra - David Dummit, Richard Foote Algebra - Michael Artin Modern Algebra with Applications - William Gilbert Topics in Algebra - I. N. Herstein Noncommutative Rings - I. N. Herstein Galois Theory - Emil Artin Algebra - Larry Grove Algebra - B. L. Van der Waerden Commutative Algebra - O. Zariski, Pierre Samuel Homology - MacLane Abstract Algebra - Pierre Antoine Grillet Algebra - Thomas Hungerford Algebra - MacLane and Birkhoff Topology: Topology - James Munkres General Topology - John Kelley Introduction to Topology - Bert Mendelson Topology - Dugundji General Topology - Willard Topology - Janich Geometry: Geometry Revisited - H.S.M. Coxeter, S.L. Greitzer Introduction to Geometry - H.S.M. Coxeter Elements - Euclid Geometry, Euclid and Beyond - Robin Hartshorne Graph Theory: Modern Graph Theory - Bollobas Graph Theory - Diestel Graph Theory - Tutte Number Theory: Number Theory - Helmut Hasse Elementary Number Theory - Charles Vanden Eynden Introduction to Number Theory - Trygve Nagell Differential Geometry A Comprehensive Introduction to Differential Geometry (vol 1-5) - Michael Spivak Notes on Differential Geometry - Noel Hicks Differential Geometry - Erwin Kreyszig --- If you have anything to add, please post it! I will add more later.