Unsolved problems in mathematics | Conjectures
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations. Some problems belong to more than one discipline and are studied using techniques from different areas. Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the Millennium Prize Problems, receive considerable attention. This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative. Although this list may never be comprehensive, the problems listed here vary widely in both difficulty and importance. (Wikipedia).
3_4 Example Problems Involving Series
Example problems.
From playlist Advanced Calculus / Multivariable Calculus
Math in the Modern World | Math and the Rise of Civilization | Documentary series
The 20th century saw mathematics become a major profession. Every year, thousands of new Ph.D.s in mathematics were awarded, and jobs were available in both teaching and industry. An effort to catalogue the areas and applications of mathematics was undertaken in Klein's encyclopedia. In a
From playlist Civilization
The Most Difficult Math Problem In The History! (358 Years To Solve)
TabletClass Math: https://tcmathacademy.com/ This video explains what is considered the most difficult math problem in history- Fermat's Last Theorem.
From playlist Calculus
Calculus: Optimization Problems
In this video, I discuss optimization problems. I give an outline for how to approach these kinds of problems and worth through a couple of examples.
From playlist Calculus
A first example problem solving a linear, second-order, homogeneous, ODE with variable coefficients around a regular singular point.
From playlist Differential Equations
The Most Difficult Math Problem You've Never Heard Of - Birch and Swinnerton-Dyer Conjecture
The Birch and Swinnerton-Dyer Conjecture is a millennium prize problem, one of the famed seven placed by the Clay Mathematical Institute in the year 2000. As the only number-theoretic problem in the list apart from the Riemann Hypothesis, the BSD Conjecture has been haunting mathematicians
From playlist Math
2023 Number Challenge: Find the integer solutions
#shorts #mathonshorts Check out other 2023 Number Challenges from this list. Share with your friends!! https://www.youtube.com/playlist?list=PLXpXgWDr4HM7KKeX7CaQIu4tfPRJ2HiUM Please subscribe to the channel.
From playlist Math Problems with Number 2023
Killer Math Problem With An Unbelievably Elegant Solution
Did you know some math problems were used to discriminate against groups of people? This is one such problem, and it stumped me! But it has an unbelievably elegant solution. Take any equilateral triangle and pick a random point inside the triangle. Draw from each vertex a line to the rand
From playlist Math Puzzles, Riddles And Brain Teasers
Uncomputable problems: Theory of Computation (Apr 30, 2021)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Download class notes from class website. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s3342/
From playlist Math 3342 (Theory of Computation) Spring 2021
The most fundamental and important problem in mathematics | Famous Math Problems 19a | NJ Wildberger
There is one mathematical problem which is much more important and fundamental, both historically and practically, than any other, and which impinges on almost all areas of pure mathematics. This is the first of four videos on this most fundamental and important problem. ***************
From playlist Famous Math Problems
The Black Hole Information Loss Problem is Unsolved. And Unsolvable.
Today I comment on the recent claim that the black hole information loss problem is "near its end" and explain why this is nonsense. Support me on Patreon: https://www.patreon.com/Sabine The article in Quanta Magazine which I mention is here: https://www.quantamagazine.org/the-black-hol
From playlist Physics
IMS Public Lecture - Can Every Mathematical Problem Be Solved?
Menachem Magidor, The Hebrew University of Jerusalem, Israel
From playlist Public Lectures
Real Analysis Ep 6: Countable vs uncountable
Episode 6 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about countable and uncountable sets, Cantor's theorem, and the continuum hypothesis. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/c
From playlist Math 3371 (Real analysis) Fall 2020
Computation Ep33, The Halting Problem (Apr 27, 2022)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi
From playlist Math 3342 (Theory of Computation) Spring 2022
Institute for Advanced Study November 17, 2006 Karl Sigmund (University of Vienna) Solomon Feferman (Stanford University) More videos on http://video.ias.edu
From playlist Kurt Gödel Centenary
Some Infinities ARE Bigger Than Other Infinities (Diagonalization)
With so many infinities being the same, just which infinities are bigger, and how can we prove it? Created by: Cory Chang Produced by: Vivian Liu Script Editors: Justin Chen, Brandon Chen, Elaine Chang, Zachary Greenberg Countable Infinity: https://youtu.be/_3PwEXk67Wg Diagonalization: h
From playlist Infinity, and Beyond!
Mathematical Games Hosted by Ed Pegg Jr. [Episode 2: Fun with Fractions]
Join Ed Pegg Jr. as he explores a variety of games and puzzles using Wolfram Language. In this episode, he features games and puzzles using fractions. Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebook: https://www.facebook.com/wo
From playlist Mathematical Games Hosted by Ed Pegg Jr.
The Four Color Map Theorem - Numberphile
The Four Color Map Theorem (or colour!?) was a long-standing problem until it was cracked in 1976 using a "new" method... computers! A little bit of extra footage from this: https://youtu.be/laMkuPrad3s This video features Dr James Grime - http://jamesgrime.com More Grime videos: http://
From playlist Graph Theory on Numberphile