[CRS#2] À la découverte des ensembles quotients (Introduction)

In this show, I present a simple question, accessible to a schoolchild, at the end of which the idea of ​​a quotient set can emerge. Subsequently, I present the theoretical framework allowing to formalize this idea, then I explore four other examples of quotient sets while trying to draw their mathematical horizons. 👨🏻‍🏫 About my training courses: https://www.oljen.fr/formations 🕒 Time markers: 0:00 – Introduction 0:33 – Example: Slices and table of 7 4:42 – Idea: a story of slices 6:59 – Appearance of a quotient set! 7:22 – Interlude: days, seasons and music 8:34 – What is the point of a formalization? 10:28 – Theoretical formalization 13:47 – Example: the formidable Z/nZ 16:11 – Example: the sausage square (1/3) 18:08 – Example: the sausage square (2/3) 20:29 – Example: the sausage square (3/3) 23:44 – Outro ✒️ Concepts covered: multiplication table, quotient set, binary relation, equivalence relation, equivalence class, square, Möbius strip. 🌞 Enjoy listening! 📚 Discover my training courses! – https://www.oljen.fr/formations 🎁 Cogito Ergo Sum (Free excerpts) – https://bit.ly/3W45yNl 🎁 Dedalus Fecit (Free excerpts) – https://bit.ly/3SlYXfJ 🎁 Lux In Tenebris (Free excerpts) – https://bit.ly/3FH6cHk 🎁 Deus Ex Machina (Free excerpts) – https://bit.ly/3SOmg0X 🤖 Join my Discord server! –   / discord   🌐 Explore my website! – https://www.oljen.fr/ 📧 Contact – https://www.oljen.fr/contact 🔸Do you like the content I produce? 🔸Do you want me to make more videos? 🔸Do you want to thank me for what this channel has brought you? 👨🏻‍🏫 Support me by joining the channel! – https://bit.ly/3djsfcg 🤝🏻 You can also make a free donation here! – https://bit.ly/3pMOJFN 📗 The little khôlle manual – https://bit.ly/3P3fJO7 📘 The principles of a successful year – https://bit.ly/42WH8ai #ToutPublic #ThéorieDesEnsembles #Introduction