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Online Course

Modern Algebra

Indian Institute of Technology Kanpur and NPTEL via Swayam

13

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Overview

The course discusses how algebra allows us to abstract out the geometric objects and numbers. This leads to an understanding of fundamental properties of geometry and numbers as well as allows us to manipulate them in ways not possible directly. This has resulted in some of the most remarkable applications of mathematics in real life.

INTENDED AUDIENCE: All undergraduate science and engineering students

PRE-REQUISITES :Nil

Syllabus

COURSE LAYOUT

Week 1: Introduction to abstraction,Introduction to Groups
Week 2: Properties of Finite Groups,Applications of Groups
Week 3: Introduction to Rings,Properties of Finite Rings
Week 4: Introduction to Ideals
Week 5: Properties of Ideals
Week 6: Applications of Ideals and Rings
Week 7: Introduction to Fields
Week 8: Applications of Finite Fields

Taught by

Prof. Manindra Agrawal

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