Mathematics

Algebra, Linear Algebra, Geometry, Vector Geometry, Trigonometry, Pre-Calculus, and Single-Variable Calculus

[sunbathe]

https://www.instagram.com/p/BN_K9RBgvIu/

[lawsofemotion]

What happens when both a,b are zero. Can we define gcd(0,0) = 0. Then ax + by = c has a solution when c is a multiple of zero, the gcd(a,b)

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.

[lawsofemotion]

A blog about mathematics.

Updated Rings and Modules: Quotient Groups and Homomorphisms!

[lawsofemotion]

A blog about mathematics.

Updated Chapter 2: Subgroups!

[lawsofemotion]

A blog about mathematics.

Finished Chapter 2: Introduction to Groups!

[lawsofemotion]

A blog about mathematics.

Updated Rings and Modules: Preliminaries!

[lawsofemotion]

Wait were you watching the Hell Day livestream and comment "you guys are as obedient as Shinji :~)" or was that someone else with the same name. (I know one of the guys who did Hell Day) if you have no idea what I'm talking about disregard this.

I did! Kyle is one of my friends!

[lawsofemotion]

A blog about mathematics.

Finished Chapter 0!

[lawsofemotion]

A blog about mathematics.

Finished Preliminaries!

[lawsofemotion]

Hello how do I go about getting an invitation to your math blog?

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

[lawsofemotion]

A blog about mathematics.

Added Chapter 1!

[lawsofemotion]

A blog about mathematics.

Added Chapter 1!

[lawsofemotion]

A blog about mathematics.

Finished Chapter 2: Some Basic Notions of Set Theory!

[lawsofemotion]

A blog about mathematics.

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

[lawsofemotion]

A blog about mathematics.

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.

[lawsofemotion]

A blog about mathematics.

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

[lawsofemotion]

A blog about mathematics.

Created Ordered Sets for Real Analysis!