Math I Like

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38 videos

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 A...

Latest Videos

If n+1 is divisible by 8 then n is not the sum of three squares

A beautiful result of Ramanujan

e is irrational

Shortest Proof of Euler's Formula

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]

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