“I can prove theorems, and maybe someday I can prove a theorem that ... though I’m geometric in the way I think. I often tend to view algebra and geometry as essentially the same. That’s not quite ...

ALGEBRAIC geometry, in spite of its beauty and importance, has long been reproached for lacking proper foundations. Great discoveries have been made, especially in Italy, by the intuition of a ...

Is it invented, or discovered? And are the things that mathematicians work with—numbers, algebraic equations, geometry, theorems and so on—real? Some scholars feel very strongly that ...

For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, where the variable is raised to the fifth power or more. Mathematicians ...

Maryland will combine teaching algebra and geometry into a ... new approach would emphasize some principles of geometry — such as proving theorems — from prekindergarten through high school ...

The Gemini model helps the symbolic engine, which uses mathematical rules to infer solutions to problems, arrive at feasible proofs for a given geometry theorem. Olympiad geometry problems are ...