Beauty Is Truth

223
reputation

May 2022 [xH = Hx]

I. Bourbaki [Algebraic Structures: Groups and groups with operators; Groups operating on a set] → Bourbaki [Topological Structures: Hausdorff spaces and regular spaces; Compact spaces and locally compact spaces] → Bourbaki [Algebraic Structures: Extensions, solvable groups, nilpotent groups; Free monoids, free groups] →...→ Grothendieck [Topological Vector Spaces]→...

II. {Apollonius [Conics], Diophantus [Arithmetica], Newton/Chandrasekhar [Principia Mathematica]} → Euler [Algebra, Number Theory Papers]→...

III. {Axler/Treil [Linear Algebra Done Right/Wrong], Hilbert/Ackermann [Principles of Mathematical Logic, Von Neumann [Functional Operators], Petzold [Annotated Turing]}

IV. {Aristotle [Politics], Smith [Wealth of Nations], Chomsky [Understanding Power]}→...

V. Villani/Cartier [Freedom and Mathematics] → Schwartz [A Mathematician Grapples With His Century]→...

I. Certainly the densest section I've encountered in Bourbaki. Isomorphism fluency is no small task.

IV. New strat. Tackle tripartite chunks whenever I need a break