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Explore classical spherical trigonometry with Insights into Mathematics. Learn about spherical distance, circular functions, and key laws in a simplified, rigorous manner.
Explore the divide between "exact" and "approximate" in pure mathematics, covering topics like algebra, topology, and the Riemann Hypothesis in less than an hour with Insights into Mathematics.
Explore the mathematical framework of music scales and modes with Insights into Mathematics. Understand the 12-tone chromatic scale, clock arithmetic, and discrete calculus in under an hour.
Explore the operation of "caret" or exponentiation in the context of arithmetic with multisets, with Insights into Mathematics. This less than 1-hour material introduces counting functions and provides concrete examples.
Explore a new kind of arithmetic based on multisets with Insights into Mathematics. This under 1-hour material expands the concept of "arithmetic" and its application in Computer Science.
Explore a new framework for basic arithmetic and algebra using multisets with Insights into Mathematics. Learn about natural numbers, polynumbers, and multinumbers in under an hour.
Explore the eight-fold way of particle physics, the theory of quarks, and the numerology of the Standard Model with Insights into Mathematics. Less than 1-hour workload.
Explore the viability of pure mathematics from a sociological perspective in this short, challenging program by Insights into Mathematics.
Explore Babylonian sexagesimal arithmetic through a modified Hindu Arabic system in this short, engaging study by Insights into Mathematics. Uncover the mathematics of an ancient civilization.
Explore the Old Babylonian arithmetical system, a base 60 precursor to our base 10 system, with Insights into Mathematics. Understand its computational advantages and historical significance.
Explore the dynamics on graphs with the Pentagon and Numbers Games, offered by Insights into Mathematics. This less than 1-hour video lecture requires minimal prerequisites and is available on YouTube.
Explore affine transformations, representation theory, and the one-dimensional random walk hypergroup in this short, math-focused offering from Insights into Mathematics.
Explore the intersection of mathematics, physics, and sociology in a 1-2 hour interview with Curt Jaimungal, hosted by Insights into Mathematics.
Explore the application of hypergroups to the square lattice space group, with a focus on the D4 group, in this short, mathematically intensive offering from Insights into Mathematics.
Explore particle collision models, hypergroups, and quadratic residues in this short, intensive study from Insights into Mathematics. Ideal for amateur or professional mathematicians.
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