What main branches of mathematics are there?

[Mathmanman]

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?

 

[Simon Bridge]

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.

 

[Mathmanman]

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]

See this post of mine: https://www.physicsforums.com/showpost.php?p=3099317&postcount=3

I thought it was math, not maths.

Both are fine.

 

[SteamKing]

People of the UK persuasion call it 'maths'. In the US and Canada I think it is just 'math'.

 

[Simon Bridge]

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.

 

[HallsofIvy]

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

 

[AgentSmith]

Not on topic but interesting nevertheless:

David Hilbert
" Mathematics is a game played according to a few simple rules with meaningless marks on paper."

 

[SteamKing]

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.