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In this blog, you will find content on Mathematics, Statistics, and Physics, developed with rigor, solid theoretical foundations, and a didactic approach.
The goal is to combine conceptual clarity with a professional visual presentation, using tools such as LaTeX, Quarto, Python, and R.
The aim is to explore profound ideas with simplicity, intuition, and beauty — through accessible explanations, graphical visualizations, complete courses with solved exercises, and structured reading guides.
🌟 What you will find here:
- ✨ LaTeX and Quarto tips for visualizations
- 🧠 Step-by-step illustrated mathematical concepts
- 📘 Experiments with visual and graphical teaching
- 🧮 Mathematics that is both accessible and rigorous
- 🔭 Physics explained with context and history
- 📊 Statistics with focus on real-world applications
- 💻 Programming in R, Python, Julia, and Shell
- 📝 Reflections on science, method, and language
Rigor, beauty, and clarity.
The courses emphasize Calculus and Statistics as fundamental foundations.
Articles and series cover a wide range of topics in science, mathematics, statistics, computing, and technology.
No hermetic style: advanced topics (manifolds, Lie groups, QFT, GR) are presented with a solid conceptual basis and clear language.
“Beauty is the first test: there is no permanent place in the world for ugly mathematics.”
— G. H. Hardy
“The universe cannot be read until we have learned the language and become familiar with the characters in which it is written. It is written in the language of mathematics, and its letters are triangles, circles, and other geometrical figures, without which it is humanly impossible to comprehend a single word.”
— Galileo Galilei
✨ Highlights
A selection of formulas that shaped science, such as Euler’s Identity \(e^{i\pi}+1=0\) and the Wave Equation.
Explore Historical Equations ›
Why does normality appear so often? Probabilities, confidence intervals, and hypothesis tests — with charts and exercises.
See the course ›
A progressive course that combines mathematical rigor, LaTeX typographical quality, and practical examples in R and Python.
📌 Topics already covered:
- Number sets and fundamental properties
- Step-by-step solved exercises
🔧 Programmable examples:
👉 Python Models · 👉 R Models
🆕 Latest Posts
- 📘 🛰️ Special Theory of Relativity — An Academic View
- 📚 🌠 General Relativity — Part 1: The Problem of Gravity
- 📘 🛰️ Special Relativity: Einstein, Time, and the Speed of Light
- 📘 🧬 100 Years of Quantum Mechanics (1925–2025)
- 📘 Module 1.3 AP: Absolute Value and Modular Inequalities
This section is automatically updated with each new publication.
Blog do Marcellini — Exploring Mathematics, Statistics, and Physics with Rigor and Beauty
This site was born from the desire to share ideas with good mathematics, good typography, and good explanations.
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