Mathematics and Statistics

Many problems in mathematics are simple to state but difficult to solve. 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.

A much older problem is to show that one cannot construct a line of length ³√2 compass and straightedge, starting with a unit length.

Despite the simple problem statements, for each of these problems hundreds of years passed between the problem statement and its solution. Often the solution to a problem will require you to think outside its original framing. By the end of a Mathematics degree at Oxford, you may see a solution to the second problem, but (despite its simple statement) the first is far too deep, even for a four-year degree course. It was solved at the end of the 20th century by Andrew Wiles, after whom the building in Oxford that houses the Mathematical Institute is named.

Mathematicians are also interested in using 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.

In order to produce sensible theories and draw accurate conclusions from data, cutting-edge statistical methods are needed. These methods use advanced mathematical ideas combined with modern computational techniques, which require expert knowledge and experience to apply.

Above all, mathematics is a logical subject, and you will need to think mathematically, arguing clearly and concisely as you solve problems. For some people, this way of thinking or solving problems will be the ultimate goal. Others will want to see what else can be discovered. Either way, it is a subject to be enjoyed.