Algebra Interactive ! Learning Algebra In An Exciting Way, Includes Cd-Rom (Relié)

Algebra Interactive is an HTML-based book for undergraduate students in all fields of science, e.g. mathematics, computer science, physics and (electrical) engineering. The main theme is algebraic structures, ranging from the elementary structures of the integers, polynomial rings in one variable and symmetric groups to the abstract notions of groups, rings and fields. It focuses on an algorithmic approach to these algebraic structures. The novel features of Algebra Interactive are the interactive examples and tools for computing in the various structures. Many of these tools and examples use the computer algebra package GAP, which comes with Algebra Interactive, as a back engine. Moreover, abstract notions are enlivened by Java applets, which go beyond the classical examples given in traditional textbooks. The book also contains numerous exercises. Apart from the classical type of exercise (with hints and solutions), the book also presents (interactive) multiple-choice questions on each page and at the end of each chapter.