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What main branches of mathematics are there?

by Mathmanman
Tags: branches, main, mathematics
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Mathmanman
#1
May24-14, 11:54 PM
P: 60
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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Simon Bridge
#2
May25-14, 12:16 AM
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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_o...ematics_topics
... which should give you a starting place.
Mathmanman
#3
May25-14, 09:45 PM
P: 60
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.

micromass
#4
May25-14, 10:08 PM
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What main branches of mathematics are there?

See this post of mine: http://www.physicsforums.com/showpos...17&postcount=3

Quote Quote by Mathmanman View Post
I thought it was math, not maths.
Both are fine.
SteamKing
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May25-14, 10:23 PM
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People of the UK persuasion call it 'maths'. In the US and Canada I think it is just 'math'.
Simon Bridge
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May30-14, 01:41 AM
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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.
http://www.physicsforums.com/showthr...65#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.
HallsofIvy
#7
May30-14, 07:58 AM
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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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