HW 1 to submit

  1. Describe the the  proof of  Proposition I of Euclid’s Elements in your own words. Explain whether there is any gap in the proof, from a modern point of view.   (Note: Here you have a nice version of Euclid’s elements, there are many online).
  2. Write down a very short biography of Diophantus, including when and where he lived and what is his relevance in the History of Mathematics.
  3. Section 5.3 Problems 1, 2, 8  and 12.

(Note: For reasons of time, we are not going to discuss Diophantus in class. The goal of problems  2 and 3 is to familiarize you with his life and mathematical work.)