51–60 of 270 posts
# Pure Mathematics / Geometry - Harshorne - Algebraic Geometry - Bott, Tu - Differential Forms in Algebraic Topology - Milnor, Stasheff - Characteristic Classes - Milnor - Morse Theory - Serre - Linear Representations of Finite Groups - Fulton - Intersection Theory
I’ll add Milnor’s Topology from the Differential Viewpoint and/or Differential Topology by Guillemin and Pollack.
Physics: Feynman's lectures on physics. Maths: Rudin's Real and Complex analysis. Software engineering: The Mythical Man-Month. Computer science: Knuth's TAOCP.
> Maths: Rudin's Real and Complex analysis. Yes!! Rudin kills it, but you need a year or two to get through this gem. A course in university will go too fast for sure.
I've been ever-so-slowly self teaching higher maths. Right now halfway through Hammond's book of proof and almost done with Polya 1.
Computer Architecture: A Quantitative Approach by John L. Hennessy the creator of MIPS and David Patterson the creator of Berkeley RISC (later SPARC) Advanced Programming in the Unix Environment by W. Richard Stevens
For compiler theory, "Principles of Program Analysis" (by Nielson, Nielson, Hankin). It is so foundational to what we do at rev.ng, that we gift a physical copy of the book to every interviewee, even if they don't pass.
Its contents is what I consider the meta game of programming. Understanding types seems to be a real boost to think about architecture, implementation, etc.
Signals and Systems by Alan V. Oppenheim and Alan S. Willsky