Classroom Notes: Symmetric Matrices and (a Little) Work ResearchInsightsSIAM News 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 ResearchInsightsSIAM News In his "Mathematical Curiosities" column, Mark Levi discusses a remarkable theorem discovered by Gromov.
Telescopes and Symplectic Mappings ResearchInsightsSIAM News Symplectic geometry, which traces its origins to the work of Poincaré on Hamiltonian systems, has reached a high level of abstraction.
Moser’s Theorem on the Jacobians ResearchInsightsSIAM News In his recurring column on Mathematical Curiosities, Mark Levi discusses an interesting result proved by Jürgen Moser.
A Cycloid is a Tautochrone ResearchInsightsSIAM News In his recurring column, Mark Levi presents a very short geometrical proof of the tautochronous property of the cycloid.
Quick! Find a Solution to the Brachistochrone Problem ResearchInsightsSIAM News The brachistochrone problem asks us to find the “curve of quickest descent,” so it would be fitting to have the quickest...
A Minimalist Minimizes an Integral ResearchInsightsSIAM News Mark Levi presents a solution that is shorter than Johann Bernoulli’s famous optics-based idea of minimizing an integral.
Mathematical Challenges and Opportunities in Optics and Photonics ResearchInsightsSIAM News The field of optics and photonics encompasses the fundamental science of light and its applications.
Computational Surgery ResearchInsightsSIAM News Computational surgery focuses on medical imaging, medical robotics, simulation, and info. technology in surgery.
Riemann Mapping by Steepest Descent ResearchInsightsCommentarySIAM News In this issue’s column, Mark Levi outlines a quick constructive proof of the Riemann mapping theorem.
The Structure and Evolution of the Next-generation Electric Grid ResearchInsightsSIAM News The electric power grid is a quintessential complex system, one whose complexity continues to grow.
Protecting an Ecosystem as Ocean Levels Rise ResearchInsightsSIAM News Our climate is changing, ocean levels are rising, and the impact of natural disasters has been increasing.
Kelvin’s Circulation Theorem and an Isoperimetric Inequality ResearchInsightsCommentarySIAM News In this month's column, Mark Levi explains Kelvin’s theorem in two dimensions.
A Lagrange Multiplier Problem Without Multipliers ResearchInsightsCommentarySIAM News Mark Levi presents is a calculus-free solution of the standard vector calculus problem.
Geometry, Invariants, and the Search for Elusive Complexity Lower Bounds ResearchInsightsSIAM News Jan Draisma gives SIAM News readers an idea of one current research theme in the field of algebraic geometry.
June 10 - June 12 , 2024 : International Conference On Preconditioning Techniques For Scientific and Industrial Applications