Computing with or Despite the Computer - IPAM at UCLA
Explore the interplay between manual, computer-assisted, and formally verified computations in number theory, examining challenges and opportunities in mathematical research.
On Ulam's Problem 19 and Related Problems - IPAM at UCLA
Explore uniqueness problems related to Ulam's Problem 19 from the Scottish book, presented by Dima Ryabogin at IPAM's Calculus of Variations workshop.
The 3 Differents
Explore the concept of "The 3 Differents" in mathematics with expert insights from C. POLINI of the University of Notre Dame, offering a deep dive into this intriguing topic.
What Does "Same" Mean in Math? It Depends.
Explores the nuanced concept of "sameness" in mathematics, examining various contexts where equality and equivalence have different interpretations and implications.
Why Are There No 3 Dimensional "Complex Numbers"?
Explores the mathematical reasons behind the absence of 3D complex numbers, delving into algebra, quaternions, and the limitations of number systems beyond 2D complex planes.
Beyond Real Numbers - Solving X + 1 = 0 in Different Number Systems
Explore solutions to x² + 1 = 0 in various number systems, expanding mathematical understanding beyond real numbers and into complex realms.
Where Limits Aren't What They Seem
Explore mathematical limits beyond conventional understanding, uncovering surprising insights and challenging preconceptions in this thought-provoking exploration of advanced calculus concepts.
Comparing the Baum-Connes Conjecture and the Farrell-Jones Conjecture
Vergleich der Baum-Connes-Vermutung und der Farrell-Jones-Vermutung in der algebraischen und geometrischen Topologie, mit Fokus auf Gemeinsamkeiten und Unterschiede.
Darts in Higher Dimensions - Numberphile
Explore a fascinating mathematical puzzle involving darts and shrinking bullseyes in higher dimensions, featuring insights from 3Blue1Brown's Grant Sanderson.
Sum of Natural Numbers - Second Proof and Extra Footage
Explore an alternative proof and additional insights on the intriguing sum of natural numbers, presented by physicists Ed Copeland and Tony Padilla from the University of Nottingham.
The Notorious Question Six - Cracked by Induction
Explore the infamous Question Six from the 1988 Math Olympiad, solved using induction. Zvezdelina Stankova breaks down this challenging problem, offering insights into advanced mathematical reasoning.
Symmetries of Fano Varieties
Explore symmetries of Fano varieties, delving into their geometric properties and mathematical significance in algebraic geometry.
John M. Keynes and Treatise on Probability - Prof. Simon Blackburn
Explore Keynes's Treatise on Probability, its scholarly depth, Russell's influence, and skepticism about mathematical applications. Examine Ramsey's critique and Keynes's response.
How to Make the World Add Up - Navigating Disinformation with Data Analysis
Explore the world of data analysis and disinformation with economist Tim Harford, learning to critically evaluate statistics and uncover truth in a world of misleading numbers.
How to Think Like a Mathematician - Applying Logic to Real-World Situations
Discover how mathematical thinking can enhance clarity in everyday situations, from fake news to privilege, using logic and precise reasoning to navigate complex issues.
Semiring-Based Soft Constraint Solving and Argumentation
Explore semiring applications in constraint solving and argumentation, focusing on optimizing solutions beyond traditional problem-solving approaches.
Polylogues
Explore the intersection of math and theoretical computer science with Nikhil Srivastava and Venkatesan Guruswami as they discuss their roles at the Simons Institute and Srivastava's research.
MathFoundations Series - 200 Videos Milestone and Future Directions
Celebrating 200 videos of MathFoundations, reflecting on the series' journey, addressing challenges in modern pure mathematics, and outlining future directions for critical thinking in mathematical foundations.
Puzzles with Measurement - Elementary Mathematics Explained - Lecture 25
Explore engaging measurement puzzles using weights and balances, enhancing problem-solving skills and introducing key mathematical concepts in a fun, interactive way.
How to Prove 1 = 0 and Other Mathematical Illusions
Explore mathematical illusions and logical fallacies in proofs, uncovering common mistakes and their implications. Learn to spot errors and understand the importance of rigorous mathematical reasoning.
The Hydra Game - Hercules vs the Mathematical Monster
Explore the fascinating Hydra Game with mathematician Tom Crawford, delving into its connection to Hercules and its intriguing mathematical properties in this engaging Numberphile video.