Computer algebra software packages can compute exact solutions for many mathematical problems. However, the answers that such software packages return are often not presented in their simplest form, especially when they involve algebraic numbers or algebraic functions. The goal of this project is to develop algorithms that can reduce mathematical expressions to their simplest form. The focus will be on expressions that involve algebraic numbers or algebraic functions.
Computer algebra software can be very valuable for research and education. However, such software often produces large complicated answers. This poses a difficult problem for the application of computer algebra in education, but also in research, because it can be difficult to reduce a complicated expression to its simplest form. Doing such reduction automatically will make computer algebra systems easier to use.
