What main branches of mathematics are there?

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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?
 

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  • #2
Simon Bridge
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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.
 
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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.
 
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SteamKing
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People of the UK persuasion call it 'maths'. In the US and Canada I think it is just 'math'.
 
  • #6
Simon Bridge
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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.
https://www.physicsforums.com/showthread.php?p=4758465#post4758465

I thought it was math, not maths.
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.
 
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  • #7
HallsofIvy
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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.
 
  • #8
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Not on topic but interesting nevertheless:

David Hilbert
" Mathematics is a game played according to a few simple rules with meaningless marks on paper."
 
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  • #9
SteamKing
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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.
What textbooks for what kind of math? With so broad a subject as math, you must be more specific.

Have you heard of Amazon.com? You can find all sorts of math textbooks there.
 

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