>>13409608I don't have a chart, but here:
Intro / motivation (Go through all of these)
>The Enjoyment of Mathematics - Rademacher & Toeplitz>How to Prove It - Velleman>Basic Mathematics - Lang (Supplement)>Calculus - Spivak>Linear Algebra - Shilov (As much as you can manage)>Principles of Mathematical Analysis - RudinNow you are ready for the basics. Start with set theory, get through as much as you can stomach, then go through the other three books in their entirety.
>Set Theory - Jech>Basic Algebra I - Jacobson>Real and Complex Analysis - Rudin>Introduction to Differential and Algebraic Topology - Borisovich et al.Big Boy Math: You can pretty much go in whatever order you like, but you might find some books require prerequisites. Go through thusly and come back when you can.
Algebra:
>Basic Algebra II - JacobsonAnalysis
Functional:
>Functional Analysis - RudinFourier:
>Introduction to Fourier Analysis on Euclidean Spaces - Stein & WeissTopology
General:
>General Topology - EngelkingAlgebraic:
>A Concise Course in Algebraic TopologyDifferential geometry / topology:
>An Introduction to Smooth Manifolds - LeeNumber Theory:
>A Course in Arithmetic - SerreAfter this, it becomes harder to come up with a clear list of books. Anyone add to this if you want; but the current books here are non-negotiable.
