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Books > Science & Mathematics > Mathematics > Algebra
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Abstract Algebra (Paperback)
Loot Price: R1,979
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Abstract Algebra (Paperback)
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Designed for an advanced undergraduate- or graduate-level course,
Abstract Algebra provides an example-oriented, less heavily
symbolic approach to abstract algebra. The text emphasizes
specifics such as basic number theory, polynomials, finite fields,
as well as linear and multilinear algebra. This classroom-tested,
how-to manual takes a more narrative approach than the stiff
formalism of many other textbooks, presenting coherent storylines
to convey crucial ideas in a student-friendly, accessible manner.
An unusual feature of the text is the systematic characterization
of objects by universal mapping properties, rather than by
constructions whose technical details are irrelevant. Addresses
Common Curricular Weaknesses In addition to standard introductory
material on the subject, such as Lagrange's and Sylow's theorems in
group theory, the text provides important specific illustrations of
general theory, discussing in detail finite fields, cyclotomic
polynomials, and cyclotomic fields. The book also focuses on
broader background, including brief but representative discussions
of naive set theory and equivalents of the axiom of choice,
quadratic reciprocity, Dirichlet's theorem on primes in arithmetic
progressions, and some basic complex analysis. Numerous worked
examples and exercises throughout facilitate a thorough
understanding of the material.
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