Algebraic Number Theory for Beginners: Following a Path From Euclid to Noether

ISBN-13: 9781009001922 / Angielski / Miękka / 2022

John Stillwell

Opis

A concise and well-motivated introduction to algebraic number theory, following the evolution of unique prime factorization through history.

Recenzje

'It goes without saying that the exposition is as clear as possible. There are a few exercises in each section, historical comments, a decent bibliography and an index.' Franz Lemmermeyer, zbMATH Open

Spis treści

Preface; 1. Euclidean arithmetic; 2. Diophantine arithmetic; 3. Quadratic forms; 4. Rings and fields; 5. Ideals; 6. Vector spaces; 7. Determinant theory; 8. Modules; 9. Ideals and prime factorization; References; Index.