Math I Like
The aim of this channel is to cover topics in mathematics that I find interesting. I'll be posting full courses over time, especially on topics in Abstract Algebra, Representation Theory, and Number Theory. We'll also be taking deep dives into various math papers, filling in details as we go.
Current Projects:
-Undergraduate Abstract Algebra
-Sequences and Series I Like
Upcoming Topics:
-Introduction to Lie Algebras and their Representations
-Infinite Dimensional Lie Algebras
-Vertex Operator Algebras
If n+1 is divisible by 8 then n is not the sum of three squares
A beautiful result of Ramanujan
e is irrational
Abstract Algebra | 25. Subgroups and Cyclic Groups
Abstract Algebra | 24. Basic Properties of Groups
Abstract Algebra | 23. Groups - Definition and Examples
Pascal's Triangle, Fibonacci Numbers, and Generating Functions
Abstract Algebra | 22. Euclidean Domains, Principal Ideal Domains, and Unique Factorization Domains
Abstract Algebra | 21. Prime and Maximal Ideals
Abstract Algebra | 20. The First Isomorphism Theorem
Abstract Algebra | 19. Quotient Rings
Abstract Algebra | 18. Ideals - Definition and Examples
Abstract Algebra | 17. Polynomial Rings - Roots and Reducibility
Stern's Diatomic Sequence
Abstract Algebra | 16. Polynomial Rings - Divisibility and Factorization
![Abstract Algebra | 15. Polynomial Rings - The Division Algorithm in F[x]](https://ricktube.ru/thumbnail/Ate5sPNl6lo/mqdefault.jpg)
Abstract Algebra | 15. Polynomial Rings - The Division Algorithm in F[x]
Abstract Algebra | 14. Polynomial Rings - Definition and Basic Properties
The Rogers-Ramanujan Recursion
Abstract Algebra | 13. Ring Homomorphisms and Isomorphisms
Abstract Algebra | 12. Subrings
Abstract Algebra | 11. Properties of Rings
Abstract Algebra | 10. Rings - Definition and Examples
Abstract Algebra | 9. Properties of Zn
Abstract Algebra | 8. Modular Arithmetic
Abstract Algebra | 7. Congruence Modulo n
Abstract Algebra | 6. Equivalence Relations
Abstract Algebra | 5. Prime Numbers and Unique Factorization
Abstract Algebra | 4. Least Common Multiples
Abstract Algebra | 3. The Euclidean Algorithm