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Learn Mathematics, earn certificates with free online courses from Harvard, Stanford, MIT, University of Pennsylvania and other top universities around the world. Read reviews to decide if a class is right for you.
Explore an automated approach to the Collatz Conjecture, focusing on string rewriting, mixed representations, and alternative systems to tackle this famous mathematical problem.
Explore particle trajectories in time-varying vector fields through ODE analysis, featuring MATLAB code examples and practical applications in engineering mathematics.
Explore complex analysis concepts including roots of unity, branch cuts, and Cauchy-Riemann conditions in this advanced engineering mathematics lecture.
Explore low-rank matrix recovery, from matrix completion to recent trends, covering theoretical foundations and applications in signal processing and machine learning.
Explore Fibonacci's mathematical strategy to defeat the Solitaire army, featuring life-and-death mathematics, triangles of death, and captivating animations.
Explore the fascinating 3-4-7 mathematical miracle, including coin rotation paradox, mystery number explanation, and angle sum in stars. Includes challenges and bonus animations.
Explore hidden patterns in Pascal's triangle and snail shells through a visual key, featuring Sierpinski's triangle and modular arithmetic in this fascinating mathematical journey.
Explore power sums, from basic arithmetic to advanced Euler-Maclaurin formula. Learn Bernoulli numbers, animated proofs, and historical mathematical discoveries in this comprehensive masterclass.
Uncover the mystery behind the cubic formula's absence from education, exploring its history, derivation methods, and surprising mathematical connections.
Explore number-associated spirals, infinite descent proofs, and continued fractions. Debunk golden ratio myths while gaining insights into number properties through visual representations.
Explore a visually stunning animation of Lambert's proof of pi's irrationality, delving into infinite fractions and mathematical concepts in an engaging, accessible manner.
Explore Liouville's number, its transcendental nature, and a unique proof of its transcendence. Discover how to create paradoxical clones of real numbers using this fascinating mathematical concept.
Explore mathematical theorems on stable marriages and debunk sex statistics myths. Discover how mathematicians can earn Nobel-like recognition through innovative problem-solving.
Explore the fascinating mathematical principles behind juggling patterns, analyzing techniques and uncovering the hidden complexities of this captivating art form.
Explore the mathematical concepts of permutations, parity, and the Futurama theorem through an engaging analysis of mind-switching scenarios and shuffling patterns.
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