🧮 Mathematics
📚 Series and Courses
Clear theory, practical examples, and applications — with Advanced Path (AP) modules.
A reading path with progressive order and connections between topics.
Rigor, beauty, and clarity.
The courses emphasize Calculus and Statistics because they are core foundations in undergraduate studies.
Articles and series may address any topic in science, mathematics, statistics, computing, or technology.
No hermetic style “only for specialists”: advanced topics (e.g., differentiable manifolds, Lie groups, quantum field theory, general relativity) are presented with a solid conceptual foundation, in a clear and thorough manner.
📘 🧮 Articles and Reflections
📘 🧮 Beauty is the First Test — G. H. Hardy and Mathematics as Art
A reflection on aesthetics in pure mathematics, with classical examples.
📘 🧮 Why is \(0! = 1\)?
Intuition and formalism for the definition of zero factorial.
📘 🧮 Historical Equations
Formulas that shaped the history of mathematics and physics.
🎓 🧮 Available Courses
🎓 🧮 Differential and Integral Calculus
A course to master limits, derivatives, and integrals with visualizations, R, and Python.
All modules include an Advanced Path (AP) with more advanced topics that may be skipped on a first reading.
🧭 🧮 Reading Guide
- 🧭 🧮 Mathematics Reading Guide — Suggested path with progressive order, connecting the main topics.
📌 This guide is updated as new content is published.
Blog do Marcellini — Exploring Mathematics 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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