Why it matters: Linear algebra underpins machine learning, enabling efficient data representation, transformation, and optimization for algorithms like regression, PCA, and neural networks. Python ...

Python’s rich ecosystem of libraries like NumPy and SciPy makes it easier than ever to work with vectors, matrices, and linear systems. Whether you’re calculating determinants, solving equations, or ...

In ancient Greece, Euclid showed that if you agree on a small list of preliminary principles, or axioms, you can use deductive reasoning to reveal all sorts of new mathematical truths. But although ...

In March 2025, mathematician Daniel Litt made a bet. Despite the march of progress of artificial intelligence in many fields, he believed his subject was safe, wagering with a colleague that there was ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...

Data centers face a conundrum: how to power increasingly dense server racks using equipment that relies on century-old technology. Traditional transformers are bulky and hot, but a new generation of ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Among high school students and adults, girls and women are much more likely to use traditional, step-by-step algorithms to solve basic math problems – such as lining up numbers to add, starting with ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

The number of first-year students at the University of California, San Diego, whose math skills fall below a middle school level has increased nearly 30-fold over the past five years, according to a ...