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Books > Science & Mathematics > Mathematics > Algebra
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Abstract Algebra - An Inquiry Based Approach (Hardcover)
Loot Price: R1,924
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Abstract Algebra - An Inquiry Based Approach (Hardcover)
Series: Textbooks in Mathematics
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To learn and understand mathematics, students must engage in the
process of doing mathematics. Emphasizing active learning, Abstract
Algebra: An Inquiry-Based Approach not only teaches abstract
algebra but also provides a deeper understanding of what
mathematics is, how it is done, and how mathematicians think. The
book can be used in both rings-first and groups-first abstract
algebra courses. Numerous activities, examples, and exercises
illustrate the definitions, theorems, and concepts. Through this
engaging learning process, students discover new ideas and develop
the necessary communication skills and rigor to understand and
apply concepts from abstract algebra. In addition to the activities
and exercises, each chapter includes a short discussion of the
connections among topics in ring theory and group theory. These
discussions help students see the relationships between the two
main types of algebraic objects studied throughout the text.
Encouraging students to do mathematics and be more than passive
learners, this text shows students that the way mathematics is
developed is often different than how it is presented; that
definitions, theorems, and proofs do not simply appear fully formed
in the minds of mathematicians; that mathematical ideas are highly
interconnected; and that even in a field like abstract algebra,
there is a considerable amount of intuition to be found.
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