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Good math books?

Name: Anonymous 2007-05-06 17:21 ID:Y7llkwmq

Okay here's the story,
I always loved maths, but for some reasons i dropped out of school.
Now at 22 i want to start studying maths again, but i do not know where to start from..

tl;rd suggest me some books that cover the basics and the advanced stuff of mathematics, algebra and geometry.

Name: Anonymous 2007-05-07 4:35 ID:Phi9sCT2

It'd help if you were more specific about what math you know.  A list of math classes you've taken beyond high school level would help.  Are you planning to learn on your own or at a college?  Do you have access to a math/science library?  Do you have a specific area of math in mind?  Do you have no clue what the areas of math are and whether they interest you?

If you wanted to learn the important parts of a college degree in math then you'd want to cover the following subjects in roughly this order:

Calculus, Linear Algebra, Multivariable Calculus, Topology, Real Analysis, Abstract Algebra

Extra topics: Differential Equations, Combinatorics, Number Theory, Differential Geometry

Your best bet is to read textbooks.  One trick is to look at college websites and cruise their course lists to see which subjects are using which book.  This also gives you an idea of difficulty and prerequisites.

If you want to just take random walks in mathematics try reading mathematical journals.  A journal article will assume a certain level of mathematical background but they are easy to read.

Textbooks are generally pretty expensive because they have a narrow market.  If you don't have access to a math/science library at a university or something it'd be tough to learn on your own.

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