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I don't want to get a MSc or PhD, only because I don't think it is worth the time. I like some aspects of academia, but I much prefer learning things by myself.
by zerocruft 4y ago
I don't want to get a MSc or PhD, only because I don't think it is worth the time. I like some aspects of academia, but I much prefer learning things by myself.
That said, I have a strong desire to learn math, and I have a copy of Understanding Analysis waiting for me to pick up. I think I'd like to learn Analysis, Linear Algebra, Probability, Graphs... Book suggestions are welcome by the way.
- SOTGO 4y agoFor analysis you can't go wrong with Rudin, especially if you already will have experience from Understanding Analysis. For graph theory I quite liked Diestel, but that may not be the best introductory text.
- markus_zhang 4y agoI'm actually on the same boat. My plan is to take a few courses up to a rigorous understanding of general relativity. Multi variable Analysis + Linear Algera(review)-> Advanced Linear Algebra (graduate level)-> Vector Analysis for Tensor; Also a course for introductory Differential Geometry. For physics it's Classic Mechanics-> Electromagnetic -> Relativity (special and general) So about 6-8 courses. Some are graduate level but most are of undergraduate level I think.
- rg111 4y ago- Linear Algebra: Gilbert Strang's book + MIT OCW video series. Alternatively/additionally Sheldon Axler's Linear Algebra Done Right. Must watch 3blue1brown series on LinAlg. - Analysis: Spivak's Calculus (yes). Understanding Analysis is also supposed to be good. - Probability: Introduction to Probability by Dimitri Bertsekas and John Tsitsiklis. - Graphs: Plenty nice books. Can also choose GT specific chapters from Discrete Math books. Edit: If you haven't have formal Math training, you need to learn how to write proofs. For Proofs, I wholeheartedly recommend Jay Cummings's book "Proof: A Long Form Text Book".