**AMS/MAA Textbooks**

Volume: 67;
2021;
199 pp;
Softcover

MSC: Primary 00;
Secondary 12; 13; 15; 20

**Print ISBN: 978-1-4704-6442-4
Product Code: TEXT/67**

List Price: $69.00

AMS Member Price: $51.75

MAA Member Price: $51.75

**Electronic ISBN: 978-1-4704-6734-0
Product Code: TEXT/67.E**

List Price: $69.00

AMS Member Price: $51.75

MAA Member Price: $51.75

#### Supplemental Materials

# Discovering Abstract Algebra

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*John K. Osoinach, Jr*

MAA Press: An Imprint of the American Mathematical Society

Discovering Abstract Algebra takes an
Inquiry-Based Learning approach to the subject, leading students to
discover for themselves its main themes and techniques. Concepts are
introduced conversationally through extensive examples and student
investigation before being formally defined. Students will develop
skills in carefully making statements and writing proofs, while they
simultaneously build a sense of ownership over the ideas and
results. The book has been extensively tested and reinforced at points
of common student misunderstanding or confusion, and includes a wealth
of exercises at a variety of levels.

The contents were deliberately organized to follow the
recommendations of the MAA's 2015 Curriculum Guide. The book is ideal
for a one- or two-semester course in abstract algebra, and will
prepare students well for graduate-level study in algebra.

A proofs/solutions manual for this title is available
electronically to those instructors who have adopted the textbook for
classroom use. Please send email to textbooks@ams.org for more
information.

#### Readership

Undergraduate students and researchers interested in an IBL approach to undergraduate algebra.

#### Reviews & Endorsements

This book is clearly designed with inquiry-based learning in mind, and in its introduction, suggests a variety of ways this book could be incorporated into more active classrooms settings through group work, presentations, and flipped classrooms. ...Discovering Abstract Algebra provides a more student-driven experience that excels at giving motivated students the opportunity to explore and discover abstract algebra for themselves.

-- Kevin Gerstle, Hillsdale College

#### Table of Contents

# Table of Contents

## Discovering Abstract Algebra

- Title page 44
- Copyright 55
- Contents 88
- Acknowledgments 1212
- To the instructor 1414
- To the student 1818
- Part 1. Group theory 2020
- Part 2. Types of groups 5656
- Part 3. Ring theory 100100
- Part 4. Linear algebra 130130
- Part 5. Field theory 152152
- Part 6. Intermediate group theory 168168
- Appendices 188188