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How to Think About Abstract Algebra (Paperback)
Loot Price: R688
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How to Think About Abstract Algebra (Paperback)
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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.
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