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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 high-dimensional spheres and a surprising puzzle through captivating visualizations, expanding your understanding of complex mathematical concepts.
Explore the mind-bending world of googology, from googol to Graham's number and beyond. Discover notation for unimaginably large numbers and their applications in mathematics and graph theory.
Explore functional equations of the dilogarithm function and discover fascinating infinite sums in this mathematical deep dive.
Proof of the empirical hypothesis for q-series constructed from Rogers-Ramanujan identities, exploring structural properties and advancing understanding of these mathematical relationships.
Explore a detailed solution to Question 2 from the 2016 Norwegian Mathematical Olympiad, also known as the Abel Competition, with expert guidance and explanations.
Explore mathematical methods for fair division, including divider-chooser and last diminishing methods, with practical examples like pizza sharing.
Explore an intriguing mathematical challenge involving iterative floor functions, from simple examples to complex equations and their solutions.
Explore the Euler transform of series, its proof, and practical applications in mathematics, enhancing your understanding of advanced series analysis.
Dive into the world of infinitely nested radicals with Michael Penn in less than an hour. Randolph College Math and Science.
Introduction to the Heisenberg vertex algebra, an algebraic model of one free boson. Explore the foundations of this complex mathematical concept and its applications in quantum mechanics.
Solve challenging math problems from the 2004 Pan-African Math Olympiad, enhancing problem-solving skills and mathematical reasoning abilities.
Explore an innovative method for calculating a well-known mathematical series, offering a fresh perspective on a classic problem in number theory and analysis.
Explore the power of symmetry in problem-solving, uncovering elegant solutions to complex mathematical challenges through practical examples and insightful explanations.
Explore the pigeonhole principle through examples, including famous problems from Erdos and the 1994 Putnam Exam. Learn problem-solving techniques in mathematics.
Explore Ramanujan's 4th notebook identity involving floor function and square root. Proof and mathematical insights provided in this engaging mathematical exploration.
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