Calculus is the study of change. More specifically, it is a method for understanding rates of change. If you know an object’s velocity and want to calculate its acceleration, then you need calculus ...

Determining which configurations of the cube are possible. The Fundamental Theorem of Cubology is a statement that characterizes which configurations are possible, and which configurations are ...

To all the new readers: Ready for some math? We love math here at Casting Out Nines, and I’ll be taking at least one day a week to talk about a math topic specifically. If you have a math post you’d ...

Relative equilibria of identical point vortices may be associated with a generating polynomial that has the vortex positions as its roots. A formula is derived that relates the first and second ...

Absolute zero − the most appropriate temperature for both quantum experiments and quantum computing − makes it easier to describe a system by relying on a set of fundamental propositions. One of them, ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

The adiabatic theorem – a fundamental achievement of quantum mechanics – was first formulated by Max Born and Vladimir Fock at the dawn of quantum mechanics. The theorem ensures that the evolving ...

Calculus is the study of change. More specifically, it is a method for understanding rates of change. If you know an object’s velocity and want to calculate its acceleration, then you need calculus ...