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I am bit surprised there is nothing about graph theory in there. Also nothing about combinatorics or knot theory to mention two other subjects. If you want to m

I am bit surprised there is nothing about graph theory in there. Also nothing about combinatorics or knot theory to mention two other subjects. If you want to make people dive into mathematics, it might be a good idea to show a broad range of subjects instead of focusing on the traditional subjects.

travisjungroth 5y ago
It’s amazing how different the subjects of mathematics are. It’s like the difference between a drum and flute. You listed some of my favorite stuff. Weirdly, when I was 11, my math tutor told me I’d probably really like finite mathematics. She turned out to be right.
- Someone 5y ago
  > It’s amazing how different the subjects of mathematics are. It’s like the difference between a drum and flute. I think it’s amazing how connected the fields are. It’s almost like “pick any two of analysis, algebra, geometry, number theory, topology, turn one into a adjective and you’ve got a new subject area”. Topological algebra? Check (https://en.wikipedia.org/wiki/Topological_algebra https://en.wikipedia.org/wiki/Topological_algebra) Algebraic topology? Check (https://en.wikipedia.org/wiki/Algebraic_topology https://en.wikipedia.org/wiki/Algebraic_topology). Geometric topology? Check (https://en.wikipedia.org/wiki/Geometric_topology https://en.wikipedia.org/wiki/Geometric_topology). Geometric algebra? Check (https://en.wikipedia.org/wiki/Geometric_algebra https://en.wikipedia.org/wiki/Geometric_algebra) Algebraic geometry? Check (https://en.wikipedia.org/wiki/Algebraic_geometry https://en.wikipedia.org/wiki/Algebraic_geometry) Geometric number theory? Close (https://en.wikipedia.org/wiki/Geometry_of_numbers https://en.wikipedia.org/wiki/Geometry_of_numbers) Mix algebra, number theory, and topology, and you may end up with arithmetic topology (https://en.wikipedia.org/wiki/Arithmetic_topology https://en.wikipedia.org/wiki/Arithmetic_topology) And don’t confuse that with arithmetic geometry (https://en.wikipedia.org/wiki/Arithmetic_geometry https://en.wikipedia.org/wiki/Arithmetic_geometry)
  - sdenton4 5y ago
    You can add 'combinatorics' to the list of primitives. Algebraic combinatorics (imo) encompasses related structures in all three of combinatorics, algebra, and geometry, though.
  - travisjungroth 5y ago
    Isomorphs abound! I think they’re both true. To the musician, the drum and the flute have a sameness. “You make notes in time with them”, the unconscious mastery. To the beginner (me) it’s worthwhile to see their separateness. I shouldn’t think “I don’t like playing instruments.” because of my experience with recorders in the third grade. Don’t let the trauma of high school trig keep you out of graph theory. They certainly feel different. This is not hollow advice. Yesterday I bought a flute!

travisjungroth 5y ago

It’s amazing how different the subjects of mathematics are. It’s like the difference between a drum and flute. You listed some of my favorite stuff. Weirdly, when I was 11, my math tutor told me I’d probably really like finite mathematics. She turned out to be right.

Someone 5y ago
> It’s amazing how different the subjects of mathematics are. It’s like the difference between a drum and flute. I think it’s amazing how connected the fields are. It’s almost like “pick any two of analysis, algebra, geometry, number theory, topology, turn one into a adjective and you’ve got a new subject area”. Topological algebra? Check (https://en.wikipedia.org/wiki/Topological_algebra https://en.wikipedia.org/wiki/Topological_algebra) Algebraic topology? Check (https://en.wikipedia.org/wiki/Algebraic_topology https://en.wikipedia.org/wiki/Algebraic_topology). Geometric topology? Check (https://en.wikipedia.org/wiki/Geometric_topology https://en.wikipedia.org/wiki/Geometric_topology). Geometric algebra? Check (https://en.wikipedia.org/wiki/Geometric_algebra https://en.wikipedia.org/wiki/Geometric_algebra) Algebraic geometry? Check (https://en.wikipedia.org/wiki/Algebraic_geometry https://en.wikipedia.org/wiki/Algebraic_geometry) Geometric number theory? Close (https://en.wikipedia.org/wiki/Geometry_of_numbers https://en.wikipedia.org/wiki/Geometry_of_numbers) Mix algebra, number theory, and topology, and you may end up with arithmetic topology (https://en.wikipedia.org/wiki/Arithmetic_topology https://en.wikipedia.org/wiki/Arithmetic_topology) And don’t confuse that with arithmetic geometry (https://en.wikipedia.org/wiki/Arithmetic_geometry https://en.wikipedia.org/wiki/Arithmetic_geometry)
- sdenton4 5y ago
  You can add 'combinatorics' to the list of primitives. Algebraic combinatorics (imo) encompasses related structures in all three of combinatorics, algebra, and geometry, though.
- travisjungroth 5y ago
  Isomorphs abound! I think they’re both true. To the musician, the drum and the flute have a sameness. “You make notes in time with them”, the unconscious mastery. To the beginner (me) it’s worthwhile to see their separateness. I shouldn’t think “I don’t like playing instruments.” because of my experience with recorders in the third grade. Don’t let the trauma of high school trig keep you out of graph theory. They certainly feel different. This is not hollow advice. Yesterday I bought a flute!