# What main branches of mathematics are there?

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
Homework Helper
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.

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.

SteamKing
Staff Emeritus
Homework Helper
People of the UK persuasion call it 'maths'. In the US and Canada I think it is just 'math'.

Simon Bridge
Homework Helper
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.
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.

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

Not on topic but interesting nevertheless:

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

UncertaintyAjay
SteamKing
Staff Emeritus