How To Think About Abstract Algebra at Meripustak

How To Think About Abstract Algebra

Books from same Author: Lara Alcock

Books from same Publisher: Oxford University Press

Related Category: Author List / Publisher List


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  • General Information  
    Author(s)Lara Alcock
    PublisherOxford University Press
    ISBN9780198843382
    Pages320
    BindingSoftcover
    LanguageEnglish
    Publish YearJanuary 2021

    Description

    Oxford University Press How To Think About Abstract Algebra by Lara Alcock

    How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory. Abstract Algebra is central in most undergraduate mathematics degrees, and it captures regularities that appear across diverse mathematical structures - many people find it beautiful for this reason. But its abstraction can make its central ideas hard to grasp, and even the best students might find that they can follow some of the reasoning without really understanding what it is all about. This book aims to solve that problem. It is not like other Abstract Algebra texts and is not a textbook containing standard content. Rather, it is designed to be read before starting an Abstract Algebra course, or as a companion text once a course has begun. It builds up key information on five topics: binary operations, groups, quotient groups, isomorphisms and homomorphisms, and rings. It provides numerous examples, tables and diagrams, and its explanations are informed by research in mathematics education. The book also provides study advice focused on the skills that students need in order to learn successfully in their own Abstract Algebra courses. It explains how to interact productively with axioms, definitions, theorems and proofs, and how research in psychology should inform our beliefs about effective learning.