Abstract Algebra: An Interactive Approach (Textbooks in Mathematics)

PBy integrating the use of GAP and EMMathematica/EMSUP®/SUP, STRONGAbstract Algebra/STRONGSTRONG: An Interactive Approach/STRONG presents a hands-on approach to learning about groups, rings, and fields. Each chapter includes both GAP and EMMathematica/EM commands, corresponding EMMathematica/EM notebooks, traditional exercises, and several interactive computer problems that utilize GAP and EMMathematica/EM to explore groups and rings./P P/P PAlthough the book gives the option to use technology in the classroom, it does not sacrifice mathematical rigor. It covers classical proofs, such as Abel’s theorem, as well as many graduate-level topics not found in most standard introductory texts. The author explores semi-direct products, polycyclic groups, Rubik’s CubeSUP®/SUP-like puzzles, and Wedderburn’s theorem. He also incorporates problem sequences that allow students to delve into interesting topics in depth, including Fermat’s two square theorem./P P/P PThis innovative textbook shows how students can better grasp difficult algebraic concepts through the use of computer programs. It encourages students to experiment with various applications of abstract algebra, thereby obtaining a real-world perspective of this area./P