Differential Galois theory provides an algebraic framework for understanding the symmetries and solvability of linear differential equations by associating to each equation a group of ...

Ordinary differential equations (ODEs), difference equations and dynamical systems provide complementary frameworks for modelling the evolution of quantities in continuous or discrete time. ODEs ...

Foundations of Algebra emphasizes computing with whole numbers and fractions, decimals, and integers; solving word problems with whole numbers, fractions, decimals and integers; solving basic linear ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...