Mathematicians have always been fascinated by numbers. One of the most famous problems is Fermat’s Last Theorem: if n?3, the equation xn+yn=zn has no solutions with x, y, z all nonzero integers. An older problem is to show that one cannot construct a line of length 3?2 with ruler and compass, starting with a unit length. Often the solution to a problem will require you to think outside its original framing. This is true here, and while you will see the second problem solved in your course, the first is far too deep and was famously solved by Andrew Wiles. In applied mathematics we use mathematics to explain phenomena that occur in the real world. You can learn how a leopard gets its spots, explore quantum theory and relativity, or study the mathematics of stock markets.
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