Math 495/573 - History of Number Theory

Assignment #7 Due Tuesday, April 12, 2005

1. Gauss would have been a mathematical immortal if he had accomplished any one of his three great achievements. What were they?

2. Euler created many symbols/notations that we use today. List three.

3. Define "transcendental number".

4. Is transcendental or algebraic?

5. Verify that the following numbers are algebraic.

(a) for any integers ()

(b)