English | 2024 | ISBN: 0367555018 | 525 Pages | True ePUB | 2.5 MB
Abstract Algebra: An Inquiry-Based Approach, Second Edition not only teaches abstract algebra, but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think.
The second edition of this unique, flexible approach builds on the success of the first edition. The authors offer an emphasis on active learning, helping students learn algebra by gradually building both their intuition and their ability to write coherent proofs in context.
The goals for this text include
Allowing the flexibility to begin the course with either groups or rings
Introducing the ideas behind definitions and theorems to help students develop intuition
Helping students understand how mathematics is done. Students will experiment through examples, make conjectures, and then refine or prove their conjectures
Assisting students in developing their abilities to effectively communicate mathematical ideas
Actively involving students in realizing each of these goals through in-class and out-of-class activities, common in-class intellectual experiences, and challenging problem sets
Changes in the Second Edition
Streamlining of introductory material with a quicker transition to the material on rings and groups
New investigations on extensions of fields and Galois theory
New exercises added and some sections reworked for clarity
More online Special Topics investigations and additional Appendices, including new appendices on other methods of proof and complex roots of unity Please Login or Register to see this code