What main branches of mathematics are there?

1. May 24, 2014

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?

2. May 25, 2014

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.

3. May 25, 2014

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.

4. May 25, 2014

micromass

Staff Emeritus
5. May 25, 2014

SteamKing

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

6. May 30, 2014

Simon Bridge

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.

7. May 30, 2014

HallsofIvy

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

8. Jan 19, 2016

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."

9. Jan 19, 2016

SteamKing

Staff Emeritus
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.