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1. First you need to learn how to learn advanced mathematics. Learning mathematics can be challenging without a good foundation on how to learn mathematics. A good book to read before starting is "How to Learn Advanced Mathematics" by Nicholas DeWaal. (See www.discoveringmath.com)

2. Once you learn how to learn, then all you have to do is begin reading textbooks in advanced mathematics starting first with lower level prerequisites such as basic logic, set theory, linear algebra and calculus. Schaum's outlines of these subject tend to be easier to read.

3. After learning the basics in step (2), you are ready to learn more advanced subjects such as topology, real analysis, number theory, differential equations etc.

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How do you find the square root of negative numbers?

For most school mathematics, negative numbers do not have square roots. This is because a negative number multiplied by itself is a negative times a negative and so is positive. When (if) you study advanced mathematics, you will learn that there is a solution and this falls within the realms of complex mathematics and imaginary numbers.


What does mathematics have to do with math?

'Math(s)' is the shortened word for 'Mathematics'. The word 'mathematics' comes from Classical Greece, and means 'to learn'.


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The elementary mathematics (arithmetics and elementary geometry) is needed to be used by all people but babies, for everyday life circumstances such as shopping, banking, driving or sports. Other advanced parts of mathematics are essential for some jobs. Though, many of the most advanced areas of mathematics (such as topology, Lp spaces...) have been poorly used elsewhere in the applied sciences.


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