Algebraic Number Theory and Rings I - Math History - NJ Wildberger
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This course introduces algebraic number theory through rings of algebraic integers, fields and extensions, with examples including Gaussian integers. It examines unique factorization and Dedekind’s use of ideals to address its failure in other algebraic number rings.
Syllabus
Introduction
What is a ring
Polynomials
Fields Extensions
Algebraic Identity
Dedekind
Gaussian integers
Taught by
Insights into Mathematics