Lecture 1 of 18Week 1
Lecture 1 - Groups: Introduction to abstraction
Prof. Manindra Agrawal · IIT Kanpur
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- From
- Modern Algebra, IIT Kanpur (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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All the lectures
- Lecture 1 - Groups: Introduction to abstraction
- Lecture 2 - Groups: Subgroups and homomorphism
- Lecture 3 - Groups: Isomorphism
- Lecture 4 - Groups: Quotienting
- Lecture 5 - Groups: Structure Theorem
- Lecture 6 - Groups: Applications
- Lecture 7 - Rings: Introduction
- Lecture 8 - Rings: Failure of Unique Factorization
- Lecture 9 - Rings: Birth of Ideals
- Lecture 10 - Rings: Ideal Arithmetic
- Lecture 11 - Rings: Special Ideals
- Lecture 12 - Rings: Dedekind Domains
- Lecture 13 - Rings: Quotient Rings
- Lecture 14 - Fields
- Lecture 15 - Cauchy sequences and real numbers
- Lecture 16 - Properties of Fields
- Lecture 17 - Finite Fields
- Lecture 18 - Application of Fields