Abstract:
"In Algebra: A Computational Introduction, the author demonstrates how software can be used as a problem-solving tool for algebra." "The author introduces permutation groups, then linear groups, before tackling abstract groups. He motivates Galois theory by introducing Galois groups as symmetry groups. He includes many computations, both as examples and as exercises. All of this works to prepare readers for understanding the more abstract concepts." "By integrating the use of Mathematica throughout the book in examples and exercises, the author helps readers establish an understanding and appreciation of the material. The exercises and examples along with downloads available from the Internet help establish a working knowledge of Mathematica and provide a reference for complex problems encountered in the field."--Jacket