Data-driven Discovery of Governing Physical Laws

Ordinary and partial differential equations are widely used throughout the engineering, physical, and biological sciences.

Systems Analysis to Inform and Support Global Transformations

The growing area of systems analysis yields multidisciplinary solutions and policy recommendations in response to emerging global problems.

Paul Davis outlines verbal autopsy and shows how machine learning can increase the accuracy of disease diagnoses.

Mark Levi's latest column presents a short “skater’s proof” of the Pythagorean theorem.

Pick a random number between 1 and 10. As we cycle through the options, each carries so much meaning that none feel truly random.

Rachael Boyd discusses the braid group, different ways of studying it, and how it relates to various arcs.

Mathematical anatomy, or numerical equations, can explain the collagen fiber architecture of the human heart.

Cilia, active hair-like appendages in biological cells, serve many functions. They are present in the lungs, intestines, and the inner ear.

Five times in U.S. history, and twice since 2000, the elected United States president did not receive a majority in the popular vote.

In his latest "Mathematical Curiosities" column, Mark Levi references an analogy between the Archimedian lever and Hamiltonian mechanics.

Donald Saari uses mathematics to cast doubt on the standard argument claiming that massive amounts of dark matter exist.

Deep learning is driving the explosion of artificial intelligence, greatly enhancing state-of-the-art techniques in various fields.

Bayesian search theory is a systematic mathematical method for planning searches for lost objects, such as missing boats, aircraft, or people.

Chad Topaz and Shilad Sen use data collection and analysis to study the shortage of women on the editorial boards of mathematics journals.

Check out examples from the PETSc library for scalable solutions of partial differential equations.