Introduction to Mathematical Proofs

Is there only one way to prove a mathematical statement? Do we always follow a deductive method when trying to reach a new conclusion? The quick answer is: no. Mathematics has developed a variety of techniques over the centuries in the continuous pursuit of finding the clearest or most elegant proof for a problem. All these methods show a highly creative thinking process that exploits experience, intuition, and even a sense of adventure. By relating the presentation of different types of proofs to historical examples and anecdotes from the lives of famous Mathematicians, from Euclid to Andrew Wiles, the students will embark on a rich investigative journey that will show them why mathematicians can be considered to be part detectives and part artists, thus developing their analytical skills and a broader overview of what a proof is.