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Introduction to abstract algebra

Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from f...

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Detalles Bibliográficos
Autor principal: Smith, Jonathan D H
Lenguaje:eng
Publicado: Taylor and Francis 2008
Materias:
Acceso en línea:http://cds.cern.ch/record/1986652
Descripción
Sumario:Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for practical computation. The author also uses equivalence relations to introduc