Abstract Algebra: An Inquiry Based Approach (textbooks In Mathematics)
by Steven Schlicker /
2013 / English / PDF
4 MB Download
To learn and understand mathematics, students must engage in the
process of
To learn and understand mathematics, students must engage in the
process ofdoing
doing mathematics. Emphasizing active
learning,
mathematics. Emphasizing active
learning,Abstract Algebra: An Inquiry-Based
Approach
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.
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.
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
Encouraging students todo
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.
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.