Gaspar
@igasparens • 1,268 subscribers
Videos
Andrew Wiles worked on Fermat's Last Theorem alone in his attic for 7 years and told nobody except his wife. The problem was 358 years old. Fermat scribbled in a margin in 1637 that he had a proof and no room to write it, and every mathematician since had failed. Wiles saw the statement in a library book at 10 years old. He never let it go. He was a Princeton professor when he started in 1986. He stopped publishing new work and released old results in pieces to hide the silence. He announced it in Cambridge in June 1993, over 3 lectures, revealing the target only at the end. Newspapers ran it worldwide. Then a referee found a gap. One step in the proof did not hold, and the error was fundamental. He spent 14 months trying to close it in public view, with the whole field watching. He was ready to quit. The fix arrived in September 1994. He has said he stared at it in disbelief for 20 minutes. The BBC filmed him describing that moment. He gets a few words out, then turns away from the camera in tears. He kept the greatest result of the century secret so nobody could take it.
Gaspar1,426,168 次观看 • 13 天前
A Fields medalist walked into an Oxford room in 2020 and taught first-year students what a determinant is. The lecturer is James Maynard. He was 32 at the time and had already broken open a problem the field had been stuck on for 2,000 years. The subject is Linear Algebra II. He is defining a function that eats a square matrix and returns 1 number. The number is a volume. Feed a matrix the unit cube and the determinant tells you how much the transformation stretched or squashed it. A determinant of 0 means the shape got flattened into a lower dimension. Nothing can unflatten it, which is exactly when a matrix has no inverse. A negative determinant means the space got turned inside out. Every graphics engine, every physics simulation, every solver checks that 1 number before doing anything else. Maynard won the Fields Medal in 2022 for work on gaps between primes, sharpening the bound Yitang Zhang had produced from nothing. Oxford films these and puts them up for free, tutorials and problem sheets included. The best number theorist of his generation spent an hour on the volume of a box.
Gaspar120,901 次观看 • 9 天前
Edsger Dijkstra never owned a computer. He wrote every paper by fountain pen, in a script so precise that colleagues collected the pages, and he numbered them EWD for 40 years. He walked into a Northwestern lecture hall and argued that programming is a branch of mathematics, not a craft you learn by typing until it compiles. His position was that testing shows the presence of bugs and never their absence. So you prove the program correct before you run it. He solved the shortest path problem in 20 minutes in a cafe in Amsterdam in 1956, with no pencil and no paper, waiting for his fiancee to finish shopping. The algorithm runs inside every routing system on the planet. He wrote a letter in 1968 arguing goto was harmful. The editor retitled it and a decade of argument followed. At Northwestern he told a room of programmers that their tools had made them careless thinkers.
Gaspar98,863 次观看 • 16 天前
Every atom in your body should have collapsed 100 years ago. At 93, Hans Bethe explained to a room of retirees why it did not. A classical electron circling a nucleus radiates energy. Run the numbers and it spirals in within 10 picoseconds. Matter should not last a heartbeat. It lasts because the electron cannot be pinned down. Push it closer to the nucleus and its momentum spread explodes. The kinetic energy that creates shoves back out. Every atom in the universe sits at the truce line. Hydrogen lands at about 0.5 angstroms because the tradeoff balances there and nowhere else. The same rule sets the notes. A wave trapped in a box fits whole numbers of half-wavelengths, so energy levels come out discrete, so every element burns its own colors. That is how anyone knows what a star is made of without going there. Bethe worked out the fusion cycle that powers the sun. He ran the theory division at Los Alamos, then spent 50 years arguing for test bans against the men beside him. He gave this lecture in a cardigan, in an armchair, at the retirement home where he lived. Nothing holds an atom up. Something refuses to let it fall.
Gaspar35,002 次观看 • 13 天前
MIT filmed a full graduate-level quantum mechanics course and put every lecture online for free. The instructor is Allan Adams. He stands in front of a chalkboard in a white shirt and opens by defining what linearity means before touching any physics. No slides. No animations. A man, a board, and a room of students working through the hardest framework in science. MIT OpenCourseWare started this in 2001. Faculty were told there would be no royalties and no extra pay for filming. Adams builds the course from the ground up. He treats quantum mechanics as a framework first and the strange results as consequences, not tricks. The catalog now holds more than 2,400 courses. The lectures have been watched hundreds of millions of times by people who will never set foot in Cambridge. Someone in a village with a phone gets the same lecture a student paying 60,000 dollars a year gets. The tuition was never buying the lecture.
Gaspar13,849 次观看 • 15 天前
没有更多内容可加载