In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and ...

The new proof broadly consists of three steps: derive the macroscopic theory from the mesoscopic one; derive the mesoscopic ...

A polynomial is a type of algebraic equation that involves variables raised to a non-negative power — for example, x² + 5x + ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial dimensions): the wave equation, the ...

A mathematician from UNSW Sydney has innovatively used new number sequences to solve algebra's oldest problem - higher ...

In math and computer science, researchers have long understood ... Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations For more than 250 years, mathematicians have wondered if the Euler equations ...

“We proved that the Einstein field equation from general ... of general relativity and quantum physics. To link them, the ...

Terms of Service and Privacy Policy. Most people’s experiences with polynomial equations don’t extend much further than high school algebra and the quadratic ...