Insights

Newtonian Dynamics = “Spring Theory”

A simple but illuminating equivalence exists between Newtonian mechanics of a particle and the statics of Hookean springs.

Applied Algebra and Geometry: A SIAGA of Seven Pictures

The cover of SIAM’s brand-new journal, the SIAM Journal on Applied Algebra and Geometry, features seven pictures.

In his recurring "Mathematical Curiosities" column, Mark Levi presents a twist on the standard high school boat problem.

Mood Maths: Moving Toward a Dynamical Understanding of Bipolar Disorder

Bipolar disorder is a chronic and severe mental illnesses. Michael Bonsall's research group has been using applied maths to better understand it.

Honeycombs, Archimedes, and Soccer Teams

John Gunnar Carlsson discusses a fundamental concern and trade-off in the analysis of logistical systems.

Applied Algebra and Geometry: A SIAGA of Seven Pictures

Read the first of three installments recognizing the new SIAM Journal on Applied Algebra and Geometry.

See Light Move: Compressed Sensing and the World’s Fastest 2-D Camera

In this article, Hans Kaper explores compressed sensing in digital cameras. He explains how physics can be used to reduce or eliminate shutter...

Computational Modeling of Convection in the Earth’s Mantle

Louis Moresi’s earlier article prompted a deeper look at models of Earth, and more specifically, into Earth’s mantle.

The predictive capability of computational models allows simulation to replace physical experimentation in many scenarios.

Large-Scale Inversion in Exploration Seismology

By studying seismic data's dynamic and kinematic properties, researchers can infer large-scale variations on a local scale.

Pent Up: Using Pentagons to Tile a Plane

Tilings, or tessellations, refers to a branch of discrete geometry that involves covering the plane (or space) with shapes, and without overlaps.

Tim Chartier explores the mathematics behind hits, rebounds, points, times, and the odds of winning, just in time for March Madness.

Classroom Notes: Symmetric Matrices and (a Little) Work

Mark Levi presents four observations that occurred to him a few years ago after teaching a linear algebra course.

Gromov’s Non-squeezing Theorem and Optics

In his "Mathematical Curiosities" column, Mark Levi discusses a remarkable theorem discovered by Gromov.

Telescopes and Symplectic Mappings

Symplectic geometry, which traces its origins to the work of Poincaré on Hamiltonian systems, has reached a high level of abstraction.