Learning Abstract Algebra with ISETL

von

Dubinsky, EdLeron, Uri

BuchKartoniert, Paperback

248 Seiten

Englisch

Springererschienen am16.09.2011

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.mehr

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Produkt

KlappentextThis 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.

Details

ISBN/GTIN978-1-4612-7602-9

ProduktartBuch

EinbandartKartoniert, Paperback

Verlag

Springer

Erscheinungsjahr2011

Erscheinungsdatum16.09.2011

Seiten248 Seiten

SpracheEnglisch

Gewicht417 g

IllustrationenXXI, 248 p.

Artikel-Nr.18225844

Rubriken

GenreNaturwissenschaft/Umwelt/Technik

Inhalt/Kritik

Inhaltsverzeichnis

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 Lagrange´s 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.mehr