hw01 - Exercise 3. a. ±ind a precise description (as an...

This preview shows page 1. Sign up to view the full content.

Intro to Abstract Math Homework 1 Fall 2009 Due August 31 Exercise 1. Decide if the following graphs contain an Eulerian path. Justify your answer and discuss if it is relevant where the starting point is. (a) (b) (c) Exercise 2. Some (odd) prime numbers can be written as the sum of two squares, for example 5 = 1 2 + 2 2 , 13 = 2 2 + 3 2 , and some cannot, like 3 or 7. By looking at examples, Fnd a criterion that seems to indicate exactly which prime numbers can be expressed as the sum of two squares.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Exercise 3. a. ±ind a precise description (as an equation or otherwise) of the shape of a catenary. b. ±ind a precise description (as an equation or otherwise) of the curve that solves the brachistochrone problem. What is the more common name for such a curve? Suggestion: Your Calculus textbook or websites such as www.mathworld.com might be help-ful references....
View Full Document

This note was uploaded on 02/29/2012 for the course MATH 3326 taught by Professor Ryandaileda during the Fall '09 term at Trinity University.

Ask a homework question - tutors are online