History of Mathematics
MA484 Winter 2018: Northern Michigan University

Here is the list of Exercises for Journey Through Genius.

#### Problem Set # 1 : Due Jan. 26

• Read Chapter 1 (Journey Through Genius)
• Exercise: #3, p.2 - This is a different proof of irrationality $$\sqrt{2} \neq \frac{a}{b}$$ than we did in class. Recall, every integer factors uniquely into a product of prime numbers. The primes and the number of times they appear are both unique.
• Exercises: #4,#5

#### Problem Set # 2 : Due Feb. 9

• Read Chapter 2-3 (Journey Through Genius)
• Exercises: 7, 10-13, 15, 27

#### Problem Set # 3 : Due Feb. 23

• Read Chapter 4-5 (Journey Through Genius)
• Exercises: 58-61

#### Problem Set # 4 : Due Mar. 21

• Read Chapter 6-7 (Journey Through Genius)
• Exercises: 76, 78, 83, 84*, 85(a,c), 86, 92, 93
• *For 84, instead substitute $x =y-\frac{m}{3y}$

#### Problem Set # 5 : Due Friday April 6

• Read Chapter 8-10 (Journey Through Genius)
• Exercises: 99, 103, 107, 108, 110, 113, 119