Material Detail

18.786 Topics in Algebraic Number Theory (MIT)

This course provides an introduction to algebraic number theory. Topics covered include dedekind domains, unique factorization of prime ideals, number fields, splitting of primes, class group, lattice methods, finiteness of the class number, Dirichlet's units theorem, local fields, ramification, discriminants.

Keywords:: number fields, dedekind domain, Algebra and Number Theory, prime ideal, lattice method, class group, ocwc, oec

Disciplines:

Mathematics and Statistics / Mathematics / Algebra and Number Theory

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More about this material

Material Type:: Online Course
Date Added to MERLOT:: August 6, 2014
Date Modified in MERLOT:: September 5, 2019
Author:: Prof. Abhinav Kumar
Submitter:: The Open Education Consortium
Primary Audience:: College General Ed
Technical Format:: Website

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: No
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States