Most people think that mathematics is an ancient subject. Most people think that mathematics hasn't changed in centuries. Most people don't realize that new mathematics is created, or discovered everyday in universities all over the world. That is because for most people the only math the are ever exposed to is centuries old. I have been fortunate enough to experience mathematical research first hand. This website is my attempt to others that new math is being done all the time.
In my experience, when I tell someone that I do math research, their first question is: "What is math research?". I think to answer that question we first need to answer the question: "What is Mathematics?". This is a dificult question to answer. Aristotle defined mathematics as "The science of quantity" (Irvine, 2009). Bertrand Russell stated "All mathematics is symbolic logic"(Russell, 1903), while Charles Darwin described a mathematician as follows: "A mathematician is a blind man in a dark room looking for a black cat which isn't there" (Barrow, 1992). I prefer the definition given in the Encyclopedia Britannica "The science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects.". The encyclopedia states that mathematics evolved from elemental practices of counting, measuring, and describing shapes. Many ancient cultures used mathematics; the Babylonians and Egyptians began using arithmetic, algebra and geometry for taxation and other financial calculations, for building and construction, and for astronomy (Kline, 1990). These ancient cultures developed mathematics out of necessity, it wasn't until between 600-300 B.C. that the ancient Greeks began to study mathematics as an independent subject (Heath, 1981). Since then mathematics has been studied extensively. According to Mikhail B. Sevryuk, in the January 2006 issue of the Bulletin of the American Mathematical Society , "The number of papers and books included in the Mathematical Reviews database since 1940 (the first year of operation of MR) is now more than 1.9 million, and more than 75 thousand items are added to the database each year. The overwhelming majority of works in this ocean contain new mathematical theorems and their proofs". I hope to give you a glimpse of my process in attempting to further the study of mathematics.