Proving the Double and Half Angle Formulas for Trigonometry
Explore proofs of double and half angle formulas for sine, cosine, and tangent, enhancing understanding of trigonometric identities and their derivations.
Proof by Mathematical Induction - Precalculus - College Algebra
Learn to prove summation formulas using Mathematical Induction, a powerful technique for verifying mathematical statements across infinite sets of natural numbers.
The Fix-the-Wobbly-Table Theorem
Explore the fascinating wobbly table theorem, its history, and mathematical proof. Learn how rotating rectangular tables can stabilize them on uneven surfaces, with insights into the underlying principles.
Euler's and Fermat's Last Theorems, the Simpsons and CDC6600
Explore Fermat's last theorem, Euler's conjecture, and their connections to pop culture and computing history. Delve into mathematical proofs and historical insights.
Visualising Pythagoras - Ultimate Proofs and Crazy Contortions
Explore visually stunning Pythagorean proofs and related theorems, including unique variations and lesser-known facts, in this engaging mathematical journey.
Algorithm and Abstraction in Formal Mathematics - IPAM at UCLA
Explore the paradox of formalized proofs, blending abstraction and computation in mathematics. Discover a new aesthetic that embraces algorithms and cross-referencing in formal mathematical discourse.
How to Prove a Calculation Correct? - IPAM at UCLA
Explore alternative methods for proving calculation correctness, focusing on real algebraic geometry and using intermediate information as hints for proof engines.
Lower Bounds on the Top Lyapunov Exponent of Stochastic Systems
Explore lower bounds on top Lyapunov exponents in stochastic systems, examining mathematical techniques and implications for understanding system behavior and stability.
Ofer Gabber- Bounding the Torsion in the L-adic Cohomology of Smooth Projective Varieties Without
Explore advanced mathematical concepts in l-adic cohomology, focusing on torsion bounds in smooth projective varieties, presented by renowned mathematician Ofer Gabber.
Green Function vs. Geometry
Explore the relationship between Green functions and geometry in higher dimensions, focusing on regular sets and elliptic operators in mathematical analysis.
Higher Topological Complexity of Seifert Fibered Manifolds
Explore LS-category and topological complexity of Seifert fibered manifolds, examining lower bounds for higher TC using cohomology class weights and deriving TC_n ranges.
Do Limit Sets Move Continuously? - C. Series
Explore the continuity of limit set movement in dynamical systems, examining mathematical concepts and their implications for understanding complex behaviors.
Characterization of Free Boundary CMC Surfaces in the Ball
Exploration of compact stable CMC surfaces with free boundary in convex domains, focusing on classification in the unit Euclidean three-ball and characterization of equatorial disk and critical catenoid.
Bounds on the Number of Generators of Prime Ideals
Explore prime ideals and their generators, focusing on mathematical bounds and theoretical implications in algebraic geometry and commutative algebra.
Primes, Postdocs and Pretentiousness - 2021 CRM-Fields-PIMS Prize Lecture
Explore prime numbers, academic careers, and mathematical concepts in this engaging lecture by renowned mathematician Andrew Granville, offering insights into number theory and research.
An Overview Over Least Fixed Points in Weak Set Theories
Explore least fixed points in weak set theories, comparing standard constructions and their implications in Kripke Platek Set Theory extensions without the powerset axiom.
TFTs with Defects and Representation Theory
Explore topological field theories with defects and their connections to representation theory in this advanced physics lecture by Christoph Schweigert.
Mathematics in India - From Vedic Period to Modern Times
Explore India's rich mathematical heritage from ancient Vedic times to the modern era, covering proofs, trigonometry, and spherical geometry across different historical periods.
Discrete Mathematics
Explore logic, probability, graph theory, relations, and combinatorics in this comprehensive mathematics course, enhancing problem-solving skills and mathematical reasoning abilities.
Matrix Equations and Model Reduction - Lecture 4
Explore matrix equations and model reduction techniques, focusing on SR method, high multiplicity, and theoretical background with renowned expert Peter Benner.
Geometric Eisenstein Series and Torsion Vanishing
Explores torsion vanishing in cohomology of Shimura varieties, combining geometric Eisenstein series, Fargues-Scholze local Langlands correspondence, and Hecke correspondences to extend previous results.