Computational algebra

de Jay Shapiro, Edward Green, David Farkas

This valuable reference, based on the fifth Mid-Atlantic Algebra Conference held recently at George Mason University, Fairfax, Virginia, focuses on both the practical and theoretical aspects of computational algebra. Integrating the fields of classical algebra, geometry, computer science, and engineering, Computational Algebra demonstrates specific computer packages, including the use of CREP to study the representation of theory for finite dimensional algebras and Axiom to study algebras of finite rank...introduces the theoretical concepts and problems of computational algebra...presents recent results that utilize the techniques of computational algebra...emphasizes the implementation of algorithms to compute classical algebraic results...provides a tutorial on Grobner bases within noncommutative rings...supplies information on a host of applications for new computational tools...and more.