2021

Book Review: Two Books on Analytic Number Theory

Analytic number theory is the application of methods from analysis to the study of integers, in particular primes. This may seem paradoxical: at the heart of analysis lie notions of continuity and differentiability — and what could be more discrete and discontinuous than the set of primes?

Markdown and Mathjax

I came across an unexpected problem when using Mathjax in a Markdown document (to be used with the Hugo site generator).

Euler's Product

Everyone knows Euler’s famous identity, linking the imaginary unit to trigonometric functions:

$$ \mathrm{e}^{\mathrm{i} \pi} = -1 $$

But another remarkable identity is also due to Euler, this one linking the set of prime numbers to an analytical function:

Database Normalization

This article attempts to give an approachable introduction to the topic of database normalization and to the five Normal Forms.

Hugo: Afterthoughts

Having managed to produce this site using the Hugo static site generator, it’s time to reflect and collect my impressions.

How Has Software Development Changed?

A survey published by O’Reilly regarding the state of the tech industry made me reflect how the field has changed since the dot-com boom (and bust) — that is, in the last 20 years, which really constitute the Internet Age and the Modern Software Era so far.

Hugo Templates and Other Features

The Hugo static site generator takes some plain-text content, marries it to a bunch of HTML templates, and produces a set of complete, static HTML pages that can be served by any generic, stand-alone web server. It selects templates based on the type of the content, and its position in the filesystem.