Tag: Number theory

  • Setting the Stage I have long been fascinated by patterns that exist in numerical sequences. Early exploration led me to the discovery of the Fibonacci series and the associated Golden Ratio. I also came across Pascal’s Triangle, which remains a source of intrigue. Hence, when I was introduced to the tests for divisibility, I devoured…

  • Fractions and the Loss of Information In my previous post, I had looked at what is gained and more importantly what is lost as we expand the set of numbers we work with. The discussion in that post centered around the closure property of sets of numbers with respect to various mathematical operations. We saw…

  • Numerical Predicament Numbers are one of the first things we are introduced to in our lives. It is quite likely that our parents introduced us to them, either when reading a book to us or when helping us play with some kind of toys. Very soon after this we are introduced to the idea of…

  • The Initial Trauma It was almost twenty years ago when I first heard the statement. It shocked me then. No, to be true to what I felt, it was as though someone had punched me in the gut. I felt a visceral response to the statement. And even today when I hear similar statements, it…