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👋 Welcome

Marcellini’s Blog

Mathematics, science, and programming with rigor, intuition, and beauty.

Courses with exercises, essays, and ideas to explore.

x y ∫ f(x) dx

🧭 Explore by subject

🧮 Mathematics 📊 Statistics 🔭 Physics 💻 Programming 🧰 Templates 📝 Personal Blog

✨ Highlights

Three ways to begin: follow a course, explore ideas, or build a foundation in statistics.

COURSE · MATHEMATICS

📘 Differential and Integral Calculus

Start with five published lessons on number sets, intervals, and inequalities, including exercises and optional Advanced Path topics.

🎓 Start the course

MATHEMATICS · PHYSICS

🧠 Equations that Shaped History

Explore influential equations and the ideas behind them, from Euler’s identity to the wave equation.

🔭 Explore the equations

COURSE · STATISTICS

📊 The Normal Distribution

Understand the normal curve, its probabilities, and its applications, with plots and exercises in R and Python.

🌍 Study the normal distribution

🔎 More to explore: Historical Equations · Models and templates · Python examples · R examples

🆕 Updates

Discover the latest articles and follow new course lessons.

📝 Recent articles

  • ✨ Living as if Everything Were a Miracle
    Personal Blog · 26 Sep 2025

  • 📘 🛰️ Special Theory of Relativity — An Academic View
    Physics · 25 Sep 2025

  • 📚 🌠 General Relativity — Part 1: The Problem of Gravity
    Physics · 25 Sep 2025

  • 📘 🛰️ Special Relativity: Einstein, Time, and the Speed of Light
    Physics · 24 Sep 2025

  • 📘 🧬 100 Years of Quantum Mechanics (1925–2025)
    Physics · 24 Sep 2025

  • 📌 Git Cheatsheet for Blog do Marcellini
    Programming · 19 Sep 2025

🎓 New lessons

  • 📘 Module 1.3 AP: Absolute Value and Modular Inequalities
    Mathematics · 09 Sep 2025

  • 📘 Module 1.3: Intervals and Inequalities
    Mathematics · 07 Sep 2025

  • 🔢 Module 1.2: Number Sets
    Mathematics · 30 Jul 2025

  • 🧠 🔢 Module 1.2 AP: Number Sets — Advanced
    Mathematics · 27 Jul 2025

  • 🎓📊 The Normal Distribution — Part 3: Plots, CLT, and Approximate Normality
    Statistics · 24 Jul 2025

  • 🎓📊 The Normal Distribution — Part 2: z-Score and z-Table
    Statistics · 24 Jul 2025

👤 About the author

A blog by Celso Marcellini, sharing explanations, courses, and reflections on mathematics, statistics, physics, and programming. The aim is to make deep ideas accessible to curious learners, with conceptual clarity and thoughtful presentation.

📘 About me and the blog

“Beauty is the first test: there is no permanent place in the world for ugly mathematics.”

— G. H. Hardy

🔗 Useful links

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