Algebraic Number Theory for Beginners

by John Stillwell

This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime factorization may be lost in the process. To restore it, we need Dedekind's concept of ideals. However, one still needs the supporting concepts of algebraic number field and algebraic integer, and the...

• Format: Hardcover
• Language: English
• ISBN: 1316518957
• ISBN13: 9781316518953
• Release Date: August 2022
• Publisher: Cambridge University Press
• Length: 242 Pages
• Weight: 1.09 lbs.
• Dimensions: 0.6" x 6.0" x 9.0"