Hello, I am Victor and in this first post I will discuss my ideas and plans for this blog.
First of all, I am going to write about topics I find interesting. These will mostly be in the context of Mathematics, Physics, and Computer Science. I will look for connections between these fields, but also going in-depth in particular topics.
The main goal of these blog posts is two-fold:
- I can write about whatever I happen to be learning at that time, so that the new material will stick.
- Topics I am knowledgeable about I can discuss in-depth and expose what I find interesting.
The target audience will differ per topic. Stuff that is new to me should target entry level readers. Mathematics I am knowledgeable about could target graduate level math readers.
My first series will be on the Calculus of Variations and where it shows up. The plan is to derive the Euler-Lagrange Equations and then explore their applications in:
- Newtonian physics, leading to the Lagrangian and Hamiltonian equations of motion (and, perhaps, a follow-up introducing Poisson Geometry);
- Differential Geometry and Special Relativity, by way of deriving the Geodesic Equations.
Further down the line, I hope to go into some computer science topics as well, maybe something on C++ or Rust. For instance, I would love to demystify move semantics in C++ in full detail in a clear way.
To anyone reading along: I hope you enjoy these posts.
Cheers!