Jack, This is a very good "mathematical biography" of Leonardo Pisano ("Fibonacci"), focusing on the practical applications of the Hindu-Arabic numerals that he helped to popularize. One thing you didn't mention, but that is decidedly odd is that he is mostly known today by a name that he would not have recognized (he never used it himself), and that he is best remembered for what amounts only to a very small part of what he did. This is not all that rare, though. What is remembered of a mathematician's work is mostly determined by what other people are able to understand and make use of. One comment about what you say about the older practice of computing with an abacus: Although people could get very fast and adept with those operations, a real defect for business was that once the calculation was finished, there was no record apart from the final answer. That meant there was really no way to check a result except to repeat the whole calculation! With arithmetic done on paper, you do have a complete record and you can check the results by verifying the steps! The main comment I have is that I think it would have been interesting to look for more information about his book called the "Liber Quadratorum" (Book of Squares) in addition to the works that you discuss. There, we can see some direct influence from the Diophantos-style theory of solving numerical equations. This work also became the source of later results in number theory by some very influential 18th and 19th century mathematicians. Grade: A-