Abstract Algebra: A Comprehensive Treatment - Rilegato

Menini, Claudia; Van Oystaeyen, Freddy

Rilegato

ISBN 10: 0824709853 ISBN 13: 9780824709853

Casa editrice: CRC Press, 2004

Riassunto

In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.

Su questo libro

L'autore:

Freddy van Oystaeyen is Professor of Mathematics at the University of Antwerp, UIA, Belgium.

Contenuti:

Sets
Maps
Cartesian Product and Binary Relations
Posets, Lattices, Zorn's Lemma
Peano's Axions
Cardinality
Quotient Sets
Groupoids, Semigroups, Monoids
Groups
The Integers
Congruences
Normal Subgroups
Isomorphism Theorems for Groups
Cyclic Groups
Direct Product of Groups
The Symmetric Group
Further Results on Groups
Rings, Ideals, and Homomorphisms
Quotient Rings
Direct Product of Rings

Su questa edizione

• Editore: CRC Press
• Data di pubblicazione: 2004
• ISBN 10: 0824709853
• ISBN 13: 9780824709853
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 776