Discrete mathematics gets easier when you know how to approach proofs. Direct reasoning, induction, and contradiction each have specific steps that can be learned and practiced. Pairing these methods ...

Learn how Harry Markowitz's Modern Portfolio Theory transformed investment strategies by focusing on diversified portfolios ...

Graph theory is moving from textbooks to traffic lights, powering smarter transportation networks worldwide. From retail deliveries to freight corridors and urban commuting, it helps planners cut ...

A new computational study suggests the Great Pyramid of Giza was built using a sophisticated "Integrated Edge-Ramp" (IER) system, potentially solving a 4,500-year-old architectural enigma. This model ...

Those changes will be contested, in math as in other academic disciplines wrestling with AI’s impact. As AI models become a powerful new tool, they risk causing mathematicians t ...

ABSTRACT: A new lower bound on the tenacity of a graph G in terms of its connectivity and genus is obtained. The lower bound and interrelationship involving tenacity and other well-known graphical ...

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.