How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Problem-solving skills are at the top of everybody’s list of what makes for a great leader. The mindset is that if you can solve problems, you’re going to go far. But in reality, only people who solve ...

Computer graphics and geometry processing research provide the tools needed to simulate physical phenomena like fire and flames, aiding the creation of visual effects in video games and movies as well ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

This jingle has helped generations of algebra students recall the quadratic formula that solves every equation of the form $latex ax^2+bx+c=0$. The formula is as ...

All small businesses have problems that must be solved in order to improve the productivity and profitability for the business. In fact, in some businesses, the entire business model may be centered ...

While we can’t fix everything, there’s a fundamental truth that most large problems begin as small problems that, left unattended, grow or propagate. There are always plenty of problems to be solved.

How good is your company at problem solving? Probably quite good, if your managers are like those at the companies I’ve studied. What they struggle with, it turns out, is not solving problems but ...