📘 Module 1.3 AP: Absolute Value and Modular Inequalities
calculus
mathematics
course
inequalities
modulus
absolute value

Definitions of absolute value, properties, the triangle inequality, and solving inequalities with absolute value.

Blog do Marcellini
Sep 9, 2025

Portrait of Isaac Newton, one of the founders of Calculus

🎓 Differential and Integral Calculus Course
calculus
mathematics
derivatives
integrals
functions
limits
courses
differential equations
Taylor series

Introduction to Calculus with elegant theory (LaTeX), Quarto visuals, and examples in R/Python — with Advanced Path (AP) tracks.

Blog do Marcellini
Aug 23, 2025

🧠 Module 1.1: What is Calculus? History and Applications
calculus
mathematics
history of calculus
applications
courses

Understand what differential and integral calculus is, where it came from, and why it is so important.

Blog do Marcellini
Jul 23, 2025

📘 Module 1.3: Intervals and Inequalities
calculus
mathematics
intervals
inequalities
functions
courses

Definition of order in ℝ, intervals, and linear and quadratic inequalities, with examples, theorems, and diagrams.

Blog do Marcellini
Sep 7, 2025
 
📌 Git Cheatsheet for Blog do Marcellini
git
programming
tutorials

A quick and practical guide to the most used Git commands in the blog workflow.

Celso Marcellini
Sep 19, 2025

Cantor’s diagonal method (uncountable reals)

🧠 🔢 Module 1.2 AP: Number Sets — Advanced
mathematics
calculus
sets
number sets
countability
Cantor
field
exercises
courses

We explore structural concepts (irrationality of √2, countability, Cantor’s diagonal, finite decimals) and the properties that make ℝ a complete ordered field.

Blog do Marcellini
Jul 27, 2025

Real Number Line

🔢 Module 1.2: Number Sets
mathematics
calculus
sets
number sets
exercises
courses

In this module, we explore the fundamental number sets used throughout the course, highlighting key properties and typical examples.

Blog do Marcellini
Jul 30, 2025

📘 🧮 Why is 0! = 1?
mathematics
combinatorics
factorial
article

We explore 10 distinct justifications for the value of \(0!\).

Blog do Marcellini — Presentation adapted from LaTeX Beamer slides
Jun 22, 2025
 
🎓 🧮 Mathematics Courses
mathematics
courses
summary

Content organized in course format, focusing on fundamental topics in mathematics, step-by-step explanations, solved examples, and applied exercises.

Blog do Marcellini
Jul 11, 2025
 
🧮 Mathematics
mathematics
mathematics summary
summary

Reflections and fundamental content in mathematics, focusing on the beauty, logic, and structure of the field’s main concepts.

Blog do Marcellini
Jul 11, 2025

📘 🧮 Beauty is the First Test — G. H. Hardy and Mathematics as Art
mathematics
philosophy of mathematics
article

Reflections on G. H. Hardy’s famous phrase in the light of pure mathematics, with classical examples of mathematical elegance and graphic visualizations.

Blog do Marcellini
Jun 23, 2025

📘 ✨ 🧮 ⚛️ Equations that Shaped History
mathematics
physics
history of science
article
equations

A selection of the most beautiful and influential equations in mathematics and physics, with accessible explanations and clear visualization.

Blog do Marcellini
Jul 12, 2025

Carl Friedrich Gauss

🧭 🧮 Mathematics Reading Guide
mathematics
reading guide

Recommended reading path for the Mathematics Section of Blog do Marcellini. Includes suggested order for courses and articles, based on complexity level and applications.

Blog do Marcellini
Jul 11, 2025

Albert Einstein at the Patent Office

✨ Living as if Everything Were a Miracle
personal blog
philosophy
science
education
einstein
quotes
reflection
The World As I See It
Albert Einstein

An exploration of quotes attributed to Einstein, with reflections on his view of education, legacy, humanity, and his own existential condition.

Blog do Marcellini
Sep 26, 2025
 
🧭 🧑‍🏫 Reading Guide — Personal Blog
personal blog
reading guide

Recommended reading track for the Personal Blog Section of Blog do Marcellini. Includes a suggested order for articles and reflections, based on complexity level and…

Blog do Marcellini
Jul 30, 2025
 
📘 🧑‍💻 About the Blog and About Me
personal
about
about the blog
about me

Learn more about the author, the blog’s purpose, how it was built, and the technical behind-the-scenes of the project.

Blog do Marcellini
Jul 5, 2025
 
🧑‍🏫 Personal Blog
personal
personal blog summary
summary
about
about the blog
about me

A space for more personal texts, free reflections, experience reports, behind-the-scenes of the blog, and author’s notes.

Blog do Marcellini
Jul 30, 2025
 
⚛️ Physics
physics
physics summary
summary

Reflections and content on Quantum Mechanics and Special Relativity, with didactic and academic approaches, organized into parts and thematic guides.

Blog do Marcellini
Jul 11, 2025

📘 🧬 100 Years of Quantum Mechanics (1925–2025)
physics
quantum mechanics
article

Historical and conceptual introduction to the hundred years of quantum theory.

Blog do Marcellini
Sep 24, 2025

📚 🧬 Part 1 — Before the Quantum Revolution (In-Depth)
physics
quantum mechanics
reading guide
series

Special series on the 100 years of Quantum Mechanics. Part 1: Before the Quantum Revolution.

Blog do Marcellini
Jul 5, 2025

🧭 📚 🧬 Reading Guide — 100 Years of Quantum Mechanics Series
physics
quantum mechanics
reading guide
series

Organization of the commemorative series on 100 years of Quantum Mechanics, with indication of the part already available and the upcoming publications.

Blog do Marcellini
Aug 21, 2025
 
🧭 ⚛️ Reading Guide — Physics
physics
reading guide

Recommended reading path for the Physics Section of Blog do Marcellini. Includes suggested order for special series and articles, based on level of complexity and…

Blog do Marcellini
Jul 30, 2025

📚 🌠 General Relativity — Part 1: The Problem of Gravity
physics
relativity
general relativity
gravity
einstein
equivalence principle
series

Understand why gravity had to be reinvented. In this post, we explore the limits of Newton’s theory, the role of Special Relativity, and the equivalence principle that led…

Blog do Marcellini
Sep 25, 2025
 
🧭 📚 🌠 Reading Guide — General Relativity Series
physics
relativity
general relativity
reading guide
einstein
series

Map of the introductory series on General Relativity, with links to each part and suggestions for complementary reading.

Blog do Marcellini
Aug 25, 2025

📘 🛰️ Special Theory of Relativity — An Academic View
physics
relativity
special relativity
einstein

Step by step, understand the foundations of Einstein’s theory: postulates, transformations, time dilation, twin paradox, mass-energy equivalence, and much more.

Blog do Marcellini
Sep 25, 2025
 
📘 🛰️ Special Relativity: Einstein, Time, and the Speed of Light
physics
relativity
special relativity
einstein
article

A didactic dive into the theory of Special Relativity, with graphs, examples, and historical context.

Blog do Marcellini
Sep 24, 2025

🧭 🛰️ Reading Guide — Special Relativity Series
physics
relativity
special relativity
reading guide
einstein
series

Organization of posts on Special Relativity: a didactic introduction and an academic deep dive.

Blog do Marcellini
Jul 6, 2025
 
📄 📐 LaTeX
programming
LaTeX
LaTeX summary
summary
Quarto

Tips and examples on how to use LaTeX to write scientific documents, format mathematical formulas, and create elegant and precise presentations. LaTeX is a powerful tool for…

Blog do Marcellini
Jul 11, 2025

📘 👨‍💻 📐 LaTeX Templates for Use with Quarto
programming
LaTeX
Quarto
article

Quarto allows the use of mathematical formulas with LaTeX inside .qmd files, both inline and in block form.

Blog do Marcellini
Jun 27, 2025
 
📄 🐍 Python
programming
Python
Python summary
summary
Quarto

Content about the Python language applied to data analysis, automation, graphical visualization, and scientific use. Python is a versatile language widely used in data…

Blog do Marcellini
Jul 11, 2025

📘 👨‍💻 📄 🐍 Python Code Templates for Use with Quarto
programming
Python
Quarto
article

Quarto allows the direct execution of Python code blocks.

Blog do Marcellini
Jun 29, 2025
 
📄 Quarto
programming
Quarto
Quarto summary
summary
YAML

Posts about the Quarto tool to generate reports, websites, books, and dynamic, reproducible technical documents. Create interactive reports, websites, books, and…

Blog do Marcellini
Jul 11, 2025

📘 👨‍💻 📄 index.qmd Templates for Quarto Projects
programming
Quarto
YAML
article

The index.qmd file is usually the main entry point of a Quarto project.

Blog do Marcellini
Jun 29, 2025

📘 👨‍💻 📄 Quarto Markdown Template – Part 2
programming
Quarto
article

Quarto Markdown is a powerful extension of the Markdown language, developed to create high-quality scientific and technical documents.

Blog do Marcellini
Jul 28, 2025

📘 👨‍💻 📄 Quarto Markdown Template — Part 1
programming
Quarto
article

Quarto Markdown is a powerful extension of the Markdown language, developed to create high-quality scientific and technical documents.

Blog do Marcellini
Jun 29, 2025

📘 👨‍💻 📄 Quarto Markdown Templates — Complete Guide
programming
Quarto
article
Markdown

Quarto Markdown is a powerful extension of Markdown for creating high-quality scientific and technical documents, combining text, code, equations, graphics, and tables…

Blog do Marcellini
Jun 29, 2025
 
📚 📄 Hub of Models & Templates (Quarto)
programming
Quarto
models
templates

Index page with organized links to posts on models and best practices in Quarto.

Blog do Marcellini
Sep 6, 2025

📘 👨‍💻 📄 📊 R Code Templates for Use with Quarto
programming
R
Quarto
article

Quarto allows the direct execution of R code blocks in .qmd files. This makes it possible to generate dynamic reports, plots, statistical analyses, and interactive…

Blog do Marcellini
Jun 29, 2025
 
📄 📊 R
programming
R
R summary
summary
Quarto

Posts about the R language focusing on statistics, plots, data analysis, and the production of reproducible reports. R is a powerful language for statistical analysis and…

Blog do Marcellini
Jul 11, 2025

📘 👨‍💻 📄 YAML in Quarto: The Invisible Heart of Your Documents
programming
YAML
Quarto
article

YAML is the first thing that appears in a .qmd document — but for many, it’s also the most mysterious.

Blog do Marcellini
Jun 29, 2025
 
👨‍💻 Programming
programming
programming summary
summary
Python
R
LaTeX
Quarto
YAML

Content about languages and tools such as Python, R, LaTeX, and Quarto, focused on technical documentation, data analysis, and computational science.

Blog do Marcellini
Jul 30, 2025
 
🧭 👨‍💻 Reading Guide — Programming
programming
reading guide

Suggested reading path for the Programming Section of Blog do Marcellini. Includes a recommended order for courses and articles, based on complexity and application.

Blog do Marcellini
Jul 30, 2025

Marcellini's Blog

🗺️ Site Map
site map
reading guide

All courses, articles, series, and categories organized from Blog do Marcellini

Blog do Marcellini
Jul 30, 2025
 
🎓 📊 Statistics Courses
statistics
courses
summary

Complete Statistics courses with theory, practical applications, visualizations, and solved exercises in R and Excel.

Blog do Marcellini
Jul 22, 2025
 
🎓 📊 Statistics Course: The Normal Distribution
statistics
normal distribution
courses

Introductory presentation on the normal distribution with practical examples, plots, and theoretical foundations applied to Statistics.

Blog do Marcellini
Aug 25, 2025

Normal (Gaussian) curve, symmetric around the mean.

🎓📊 The Normal Distribution — Part 3: Plots, CLT, and Approximate Normality
statistics
normal distribution
courses
central limit theorem
law of large numbers
approximate normality

Visual and theoretical foundations: histograms, Q–Q plots, Law of Large Numbers, and Central Limit Theorem as the basis for approximate normality.

Blog do Marcellini
Jul 24, 2025

🎓 📊 Statistics Course: The Normal Distribution (Part 1): Introduction to the Normal Distribution
statistics
normal distribution
courses
exercises

This course aims to present, in an accessible and applied way, the fundamentals of the normal distribution, also known as the Gaussian distribution, supported by graphical…

Blog do Marcellini
Jul 24, 2025

Normal distribution curve (Gaussian) highlighting mean and symmetry.

🎓📊 The Normal Distribution — Part 2: z-Score and z-Table
statistics
normal distribution
courses
z-score
z-table

Practical foundations for standardization (z-score), probability lookup in the z-table, and comparative applications.

Blog do Marcellini
Jul 24, 2025

Standard Normal Distribution

🧭 📊 Statistics Reading Guide
statistics
reading guide

Recommended reading path for the Statistics Section of Blog do Marcellini. Includes suggested order for courses and articles, based on complexity level and application.

Blog do Marcellini
Jul 11, 2025
 
📊 Statistics
statistics
statistics summary
summary

Explore essential statistical concepts with a focus on applications, data interpretation, visualizations, and theoretical foundations. Includes full courses, solved…

Blog do Marcellini
Jul 11, 2025
 
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Marcellini's Blog

🌟 What you will find here:
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Marcellini's Blog

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    Quiz example
    This document illustrates the usage of the naquiz quarto extension.
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