Learning abstract algebra with ISETL /

Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentat...

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Bibliographic Details
Main Author:	Dubinsky, Ed
Corporate Author:	SpringerLink (Online service)
Other Authors:	Leron, Uri
Format:	eBook
Language:	English
Published:	New York : Springer-Verlag, [1994]
Subjects:	Algebra, Abstract > Computer-assisted instruction. ISETL (Computer program language) Algebra abstrata. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

1 Mathematical Constructions in ISETL
1.1 Using ISETL
1.2 Compound objects and operations on them
1.3 Functions in ISETL
2 Groups
2.1 Getting acquainted with groups
2.2 The modular groups and the symmetric groups
2.3 Properties of groups
3 Subgroups
3.1 Definitions and examples
3.2 Cyclic groups and their subgroups
3.3 Lagranges theorem
4 The Fundamental Homomorphism Theorem
4.1 Quotient groups
4.2 Homomorphisms
4.3 The homomorphism theorem
5 Rings
5.1 Rings
5.2 Ideals
5.3 Homomorphisms and isomorphisms
6 Factorization in Integral Domains
6.1 Divisibility properties of integers and polynomials
6.2 Euclidean domains and unique factorization
6.3 The ring of polynomials over a field.