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Abstract Algebra - A Comprehensive Introduction (Hardcover, New Ed)
Loot Price: R2,172
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Abstract Algebra - A Comprehensive Introduction (Hardcover, New Ed)
Series: Cambridge Mathematical Textbooks
Expected to ship within 9 - 15 working days
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Through this book, upper undergraduate mathematics majors will
master a challenging yet rewarding subject, and approach advanced
studies in algebra, number theory and geometry with confidence.
Groups, rings and fields are covered in depth with a strong
emphasis on irreducible polynomials, a fresh approach to modules
and linear algebra, a fresh take on Groebner theory, and a group
theoretic treatment of Rejewski's deciphering of the Enigma
machine. It includes a detailed treatment of the basics on finite
groups, including Sylow theory and the structure of finite abelian
groups. Galois theory and its applications to polynomial equations
and geometric constructions are treated in depth. Those interested
in computations will appreciate the novel treatment of division
algorithms. This rigorous text 'gets to the point', focusing on
concisely demonstrating the concept at hand, taking a 'definitions
first, examples next' approach. Exercises reinforce the main ideas
of the text and encourage students' creativity.
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