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Topics in Algebraic Number Theory

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.

Start Date: Feb 01, 2010
Cost: Free

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Overview

Description

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.

Details

  • Dates: Feb 01, 2010 to May 25, 2010
  • Days of the Week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
  • Level of Difficulty: Beginner
  • Size: Massive Open Online Course
  • Instructor: Prof. Abhinav Kumar
  • Cost: Free
  • Institution: MIT OCW

Provider Overview

About MIT OCW: MIT OpenCourseWare (OCW) is a web-based publication of virtually all MIT course content. OCW is open and available to the world and is a permanent MIT activity.

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Questions about Topics in Algebraic Number Theory

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  • how do I solve 11x+12/2x+3 - 5x+3/2x+3?

    You first need to multiply both values by (2x +3) to get rid of the fractions. This will give you (11x+12)(2x+3) - (5x + 3)(2x+3). Then you just need to multiply everything in the brackets and the ...