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Modern Algebra

Modern Algebra. Instructor: Prof. Manindra Agrawal, Department of Computer Science and Engineering, IIT Kanpur. This course discusses topics in abstract algebra, the study of algebraic structures such as Groups, Rings and Fields. The course will focus on teaching the definitions and basic properties of these algebraic structures. And the course will see applications of the algebraic structures in mathematics and computer science. (from nptel.ac.in)

Lecture 18 - Application of Fields

This lecture covers the following topics: 1. Error Correction using Finite Fields. 2. Introduction to Algebraic Geometry.


Go to the Course Home or watch other lectures:

Groups
Lecture 01 - Introduction to Abstraction
Lecture 02 - Subgroups and Homomorphism
Lecture 03 - Isomorphism
Lecture 04 - Quotienting
Lecture 05 - Structure Theorem
Lecture 06 - Applications
Rings
Lecture 07 - Introduction
Lecture 08 - Failure of Unique Factorization
Lecture 09 - Birth of Ideals
Lecture 10 - Ideal Arithmetic
Lecture 11 - Special Ideals
Lecture 12 - Dedekind Domains
Lecture 13 - Quotient Rings
Fields
Lecture 14 - Fields
Lecture 15 - Cauchy Sequences and Real Numbers
Lecture 16 - Properties of Fields
Lecture 17 - Finite Fields
Lecture 18 - Application of Fields