What main branches of mathematics are there?

  1. Besides trigonometry, calculus, differential equations, linear algebra, and discrete mathematics.
    Can you give me a list? And maybe links to where I can learn them?
     
  2. jcsd
  3. Simon Bridge

    Simon Bridge 14,649
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    The main fields in maths are called "applied" and "pure".
    "Trigonometry, calculus, differential equations, linear algebra, and discrete mathematics..." are examples of topics in mathematics.

    To get a good idea of how maths gets divided up, instead, have a look at your local college's prospectus and the titles of the higher-level papers.

    However, it is a common enough request: did you have a look online?
    http://en.wikipedia.org/wiki/Areas_of_mathematics
    http://en.wikipedia.org/wiki/Lists_of_mathematics_topics
    ... which should give you a starting place.
     
  4. Ok, so what textbooks are there? I need the ones that also give me problems to practice. Without practice problems, I would forget it fast. I thought it was math, not maths.
     
  5. micromass

    micromass 18,531
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  6. SteamKing

    SteamKing 8,576
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    People of the UK persuasion call it 'maths'. In the US and Canada I think it is just 'math'.
     
  7. Simon Bridge

    Simon Bridge 14,649
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    https://www.physicsforums.com/showthread.php?p=4758465#post4758465

    Technically, it's "mathematics" - a kind of pseudo-plural of "mathematic" - hence the s on the end of the abbreviation.
    http://en.wikipedia.org/wiki/Mathematics#Etymology

    Aside:
    Him: You do the math!
    Me: Maths.
    Him: Same thing.
    Me: No. Mine has five letters and yours has four.
    Him: What's the difference?
    Me: One.
     
  8. HallsofIvy

    HallsofIvy 40,299
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    In a rough sense there are two main branches of mathematics: algebra and geometry. Analysis comprises the overlap of those two.
     
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