
05590717
b
2009f.00508
Paulsen, William
Abstract algebra. An interactive approach.
Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 9781420094527/hbk). xxix, 525~p. with CDROM. (2010).
2010
Boca Raton, FL: CRC Press
EN
H45
R25
algebra
computer algebra
GAP
Mathematica
group theory
ring theory
Galois theory
Sylow's Theorems
textbooks
The textbook gives an introduction to algebra. The course includes the explanation on how using the computeralgebra systems GAP and Mathematica, i.e. every chapter includes several interactive problems that students have to use to explore groups and rings. The book contains 8 chapters of group theory including the Sylow's Theorems and solvable groups, 4 chapters of ring theory including Euclidean Domains, unique factorization domains. The last three chapters contain field theory including the fundamental theorem of Galois theory. Each chapter ends with a list of problems (interactive and noninteractive). At the end of the book are answers to the oddnumbered problems. The book can be used for an undergraduate level course (chapter 14 and 912) or a second semester graduate level course.
Gerhard Pfister (Kaiserslautern)