## Motivational example for complex numbers

Years ago I was introduced to complex numbers. In class we had been talking about the cubic polynomial and its solutions. At one point we saw an example where, when using the formula, one had to stop because one had to take a square root of a negative number. The teacher went ahead and expressed … Read more

## Is there a math website to study math from a mathematician point of view (ie proof oriented?)

I´m a student of the University of Puebla, Mexico, and I think that we lack of exigence there so I want to study math on internet to improve my education. I have already looked sites like edX, but I can´t find a source for pure mathematicians. Can somebody bring me a high quality resource for … Read more

## Difference between Logarithms of different bases

Every time i see a logarithmic function and if it so happens that i’am required to take the derivative or the integral of that particular function i get stumped and i tend to avoid that problem. What i’am saying is ddx(log10x) and ddx(lnx) are the same i.e 1x Why is that? Infact they both are … Read more

## How a layperson in mathematics learn mathematics from basics to at least intermediate level?

From few weeks I have been watching videos on Mathematics and came across the mystery of prime numbers. I am no mathematician, Even I almost know nothing about this field but I don’t know I find Prime number fascinating. I have watched several other videos too like the Pascal’s triangle and few more math unproven … Read more

## How i can learn mathematics these days?

i am currently have no idea where i can learn mathematics online. whenever i am in schools my math goes too bad but now i want to learn mathematics online. any idea where i can get education for mathematics for just hobby and fun with learning advanced things. Answer Ideally you should learn mathematics from … Read more

## Should I write out stuff? [closed]

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## How important it is to learn different proofs

As one studies mathematics, how important it is to find various proofs? I mean that if one has to prove for example that conditions (i), (ii), and (iii) are equivalent then is it enough to learn to prove that (i)->(ii)->(iii)->(i) or do mathematicians also think why (ii)->(i), (i)->(iii) and (iii)->(ii)? Answer Sometimes a direct proof … Read more

## Studying Schedule [closed]

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## why when you study math or physics you are obliged to know how this or that equation is derived?

every time you learn a new equation they tell you to prove how this formula was derived, but why is this made ? i mean the derivation of an special formula is applied once and can not be used to prove another formulae so why in the process of learning you must know how to … Read more

## Calculus for beginners

What resources for “Calculus” do you recommend for beginners; they should describe the topics in a way easy to understand? Answer Another very helpful site is http://www.khanacademy.org/. It has videos on almost any subject and they are only about 10minutes long. They are clear and easy to understand. Khan teaches the idea and does example … Read more