Learning Abstract Algebra with ISETL

Name: Learning Abstract Algebra with ISETL
Price: 46.49 USD
Availability: InStock
ISBN: 9780387941042

ISBN-10: 0387941045

ISBN-13: 9780387941042

Edition: 1994

Authors: Ed Dubinsky, Uri Leron

List price: $54.99

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Description:

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 presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies as well as on the substantial experience of the authors in teaching astract algebra. The main source of…

Book details

List price: $54.99
Copyright year: 1994
Publisher: Springer New York
Publication date: 12/14/1993
Binding: Hardcover
Pages: 248
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.298
Language: English



Comments for the Student


Comments for the Instructor


Acknowledgments



Mathematical Constructions in ISETL



Using ISETL



Compound objects and operations on them



Functions in ISETL



Groups



Getting acquainted with groups



The modular groups and the symmetric groups



Properties of groups



Subgroups



Definitions and examples



Cyclic groups and their subgroups



Lagrange's theorem



The Fundamental Homomorphism Theorem



Quotient groups



Homomorphisms



The homomorphism theorem



Rings



Rings



Ideals



Homomorphisms and isomorphisms



Factorization in Integral Domains



Divisibility properties of integers and polynomials



Euclidean domains and unique factorization



The ring of polynomials over a field


Index