Mathematics

Hello, sorry for the late reply. The definition of the greatest common denominator strictly says that not every component is zero. In your case, either a or b has to be nonzero to define its gcd.

Updated Rings and Modules: Quotient Groups and Homomorphisms!

Updated Chapter 2: Subgroups!

Finished Chapter 2: Introduction to Groups!

Updated Rings and Modules: Preliminaries!

I did! Kyle is one of my friends!

Finished Chapter 0!

Finished Preliminaries!

Unfortunately, my math blog is only public between May - August, so study it and use it while you can!

Added Chapter 1!

Added Chapter 1!

Finished Chapter 2: Some Basic Notions of Set Theory!

Finished Real Analysis: Chapter 1! They are all basics of complex numbers, real numbers, exponentials, and so on!

Quick update: I’ve decided to use the textbook Apostol for analysis, since it is more rigorous than Rudin. However, I will not ignore Rudin but use it at times where it is needed. Here is the page for some sections of Chapter 1 in Mathematical Analysis by Apostol. I am going to do Chapter 1, 2, 3, 4, 8, 9, and more.

Created Fields for Real Analysis! Similar to field theory, but introduces ordered fields.

Created Ordered Sets for Real Analysis!