Solutions to exercises from *The Theory of Algebraic Numbers* by Pollard & Diamond.

- Chapter 1: Divisibility
- Chapter 2: The Gaussian Primes
- Chapter 3: Polynomials over a Field
- Chapter 4: Algebraic Number Fields
- Chapter 5: Bases
- Chapter 6: Algebraic Integers and Integral Bases
- Chapter 7: Arithmetic in Algebraic Number Fields
- Chapter 8: The Fundamental Theorem of Ideal Theory
- Chapter 9: Consequences of the Fundamental Theorem
- Chapter 10: Ideal Classes and Class Numbers
- Chapter 11: The Fermat Conjecture

## Solutions

**Chapter 1: Divisibility****Chapter 2: The Gaussian Primes****Chapter 3: Polynomials over a Field****Chapter 4: Algebraic Number Fields****Chapter 5: Bases****Chapter 6: Algebraic Integers and Integral Bases****Chapter 7: Arithmetic in Algebraic Number Fields****Chapter 8: The Fundamental Theorem of Ideal Theory****Chapter 9: Consequences of the Fundamental Theorem****Chapter 10: Ideal Classes and Class Numbers****Chapter 11: The Fermat Conjecture**