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Math Help - What is Topology and Analysis?

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    What is Topology and Analysis?

    Hi,

    What is Analysis? What is Topology? What is Differential Equations with Linear Algebra? What is it used for? Besides teaching, what are the jobs someone can do with an BS and AS degrees in mathematics?
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    Quote Originally Posted by php111 View Post
    What is Analysis?
    Have you ever studied Calculus? Calculus is part of an area of math (huge absolutely huge) called "Analyis". Basically, Analysis is the foundation of Calculus. You might have noticed you do not do proofs in Calculus rather you learn formulas. Once you master them you can start to understand why these formulas and ideas work mathematically.

    There are many different types of Analysis'. Calculus is usually called "Real Analysis" because you use real (i.e. non imaginary) numbers.

    There is another one called Complex Analysis. That one does Calculus with complex (imaginary) numbers.


    What is Topology?
    The Greek translation is "study of space". That is basically what it is. It studies objects in space in a mathematical way. For example, what does it means a "region" how do you define that. And what does it means "inside of a circle". How do you define that? And similar related things. It is also very very huge.

    Analysis and Topology are seperate areas of mathematics.


    Now the funny thing is that out of all the places you could have placed this thread you placed it in "Algebra", which is a totally different area from Analysis and Topology. (Algebra is my favorite).
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    Quote Originally Posted by ThePerfectHacker View Post
    Have you ever studied Calculus? Calculus is part of an area of math (huge absolutely huge) called "Analyis". Basically, Analysis is the foundation of Calculus. You might have noticed you do not do proofs in Calculus rather you learn formulas. Once you master them you can start to understand why these formulas and ideas work mathematically.

    There are many different types of Analysis'. Calculus is usually called "Real Analysis" because you use real (i.e. non imaginary) numbers.

    There is another one called Complex Analysis. That one does Calculus with complex (imaginary) numbers.



    The Greek translation is "study of space". That is basically what it is. It studies objects in space in a mathematical way. For example, what does it means a "region" how do you define that. And what does it means "inside of a circle". How do you define that? And similar related things. It is also very very huge.

    Analysis and Topology are seperate areas of mathematics.


    Now the funny thing is that out of all the places you could have placed this thread you placed it in "Algebra", which is a totally different area from Analysis and Topology. (Algebra is my favorite).
    Thank you but under Algebra the description says Topology. That is Advanced Algebra it says. What is Princples of Analysis? What is Differential Equations with Linear Algebra that i asked? I also asked what i can do with an AS and a BS degree in mathematics? No never studied calculus.
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    Quote Originally Posted by php111 View Post
    Thank you but under Algebra the description says Topology. That is Advanced Algebra it says. What is Princples of Analysis? What is Differential Equations with Linear Algebra that i asked? I also asked what i can do with an AS and a BS degree in mathematics? No never studied calculus.
    You need to get an idea of what mathematics is about, so you need to read something like Tim Gowers' book "Mathematics, A Very Short Introduction"

    RonL
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    Quote Originally Posted by php111 View Post
    Thank you but under Algebra the description says Topology.
    It means "Algebraic Topology". Not ordinary (pointwise) Topology.
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    Besides teaching, what are the jobs someone can do with an BS and AS degrees in mathematics?
    Serving coffee.
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    Quote Originally Posted by php111 View Post
    Hi,

    What is Analysis? What is Topology? What is Differential Equations with Linear Algebra? What is it used for? Besides teaching, what are the jobs someone can do with an BS and AS degrees in mathematics?
    Well I know what BS is but what is an AS degree?

    RonL
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by CaptainBlack View Post
    Well I know what BS is but what is an AS degree?

    RonL
    associate (of science) degree, it's a 2-year degree offered by community colleges in the US
    Last edited by Jhevon; August 31st 2007 at 11:48 PM.
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    Yes an AS is offered at a community college and BS degrees and up are offered at universities. What are the different jobs that are with them degrees in mathematics besides serving coffee? lol
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by php111 View Post
    Yes an AS is offered at a community college and BS degrees and up are offered at universities. What are the different jobs that are with them degrees in mathematics besides serving coffee? lol
    i just remembered a user asked this not so long ago. see here, i give websites that give a (big) list of career option for math people in the second post. other users, such as JakeD, made suggestions as well
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