➡️ Learn real Calculus, starting from scratch (pre-calculus) to advanced level! Click here and join Dominating Calculus: https://www.temciencia.com.br The Poincaré Conjecture is the first and only one of the seven millennium problems to be solved, earning a million-dollar prize and the Fields Medal for whoever solved it: Grigori Perelman, a Russian mathematician. It turns out that Perelman refused both the medal and the cash prize. Today, we are going to talk about one of the most important problems solved by modern mathematics, developed by the genius Henri Poincaré at the beginning of the 20th century, and solved only 100 years later. Recommended Reading Millennium Problems: The Seven Greatest Riddles (by Keith Devlin) https://amzn.to/42GG75z affiliate links: when you buy, a small percentage is donated to the channel without any price increase for you Become a member and help me continue producing this type of content: https://www.youtube.com/temciencia/join FULL VIDEO ABOUT EULER'S RELATION (V - A + F): ???? The 2nd MOST BEAUTIFUL EQUATION in Mathematics • The 2nd MOST BEAUTIFUL EQUATION in Mathematics =========================================== Script, presentation and editing: Daniel Nunes My Instagram: / tem.ciencia ===================================== WATCH ALSO: ???? ARISTOTLE'S WHEEL PARADOX • ARISTOTLE'S WHEEL PARADOX ARISTOTLE ???? ARE YOU RATIONAL? (Allais' Paradox and Prospect Theory) • ARE YOU RATIONAL? (Allais' Paradox ... ???? THE BIRTHDAY PARADOX • THE BIRTHDAY PARADOX (how do you ... ???? PRISONERS' DILEMMA and NASH'S EQUILIBRIUM • PRISONERS' DILEMMA and NASH'S EQUILIBRIUM... ???? ST. PETERSBURG PARADOX: HOW MUCH IS INFINITE MONEY WORTH? • ST. PETERSBURG PARADOX: HOW MUCH IS INFINITE MONEY WORTH? • ST. PETERSBURG PARADOX: HOW MUCH IS INFINITE MONEY WORTH? ???? Mathematics and Sports Betting: HOW TO BREAK THE BANK? • Mathematics and Sports Betting: HOW TO BREAK THE BANK? ???? THE (almost) IMPOSSIBLE PROBLEM 3 Houses Problem • THE (almost) IMPOSSIBLE PROBLEM Probl... ???? WHY (scientifically) THERE IS NO SCIENTIFIC PROOF • WHY (scientifically) THERE IS NO ... ???? Was MATHEMATICS DISCOVERED or INVENTED? • Was MATHEMATICS DISCOVERED or INVENTED... ???? WHY IS CALCULUS SO HARD? • WHY IS CALCULUS SO HARD? (Or not) ???? WHAT IS IT LIKE TO DO A DOCTORATE IN MATHEMATICS AT IMPA • WHAT IS IT LIKE TO DO A DOCTORATE IN MATHEMATICS... ???? HOW IS THE ENEM SCORE REALLY CALCULATED? • TRI: the MATHEMATICS behind the ENEM SCORE... ???? PageRank: HOW GOOGLE's Mathematical ALGORITHM works • PageRank: HOW GOOGLE's Mathematical ALGORITHM w... ???? A GAME that NOBODY CAN WIN. Here's why. • A GAME that NOBODY CAN WIN. ... ???? WHY DO YOU have LESS FRIENDS than your friends? • WHY DO YOU have LESS FRIENDS than your ... ???? THE ILLUSION of MAJORITY • THE ILLUSION of MAJORITY ???? THE HARDEST QUESTION IN THE HISTORY OF GOOGLE • THE HARDEST QUESTION IN THE HISTORY OF ... ???? WHAT is MATHEMATICS FOR? When will you actually use it? • WHAT is MATHEMATICS FOR? When will you ... ???? WOULD YOU PASS AN INTERVIEW with AMAZON? AND MICROSOFT? • WOULD YOU PASS an AMAZON INTERVIEW? ???? THE PROBLEM with VOLUME FORMULAS that INTRIGUED GAUSS • The BIG PROBLEM with VOLUME FORMULAS... ???? WHY are there only 5 PLATO SOLIDS in 3D? • WHY are there only 5 PLATO SOLIDS in 3D? ???? What is NON-EUCLIDEAN GEOMETRY? - History of Geometry • What is NON-EUCLIDEAN GEOMETRY? - H... ???? THE RING PARADOX • THE RING PARADOX ???? The SECRET Mathematics of things • Where is the Advanced Mathematics in n... ???? HOW was PI CALCULATED (with a matchbox)? • HOW TO CALCULATE PI by throwing MATCH... ???? 3 PARADOXES OF INFINITY • 3 PARADOXES OF INFINITY ???? Hilbert's INFINITY Hotel: How to Count Infinity? • Hilbert's INFINITY Hotel: a PARADOX...