Abstract Algebra - An Inquiry-Based Approach (2nd edition)

Abstract Algebra: An Inquiry-based Approach, second edition, Jonathan Hodge, Steven Schlicker, Ted Sundstrom. 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 second edition of this unique, flexible approach builds on the success of the first edition. The authors offer an emphasis on active learning and developing student intuition. The aim is to help students learn algebra by gradually building both their intuition and their ability to write coherent proofs in context. This book is designed to allow beginning the course with either groups or rings. 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. Helping students develop 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: a quicker transition to the material on rings and groups. · New Material: The second edition contains new investigations on extensions of fields and Galois theory. · New Appendices: We have added additional appendices on other methods of proof and complex roots of unity. · New exercise added and some sections reworked for clarity. · More online: Special Topics investigations and additional Appendices. Encouraging students to do mathematics and be more than passive learners, this text shows students the way mathematics is developed is often different than how it is presented; definitions, theorems, and proofs do not simply appear fully formed; mathematical ideas are highly interconnected; and in abstract algebra, there is a considerable amount of intuition to be found.

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Series:	Textbooks in Mathematics
Release date:	December 2023
First published:	2024
Authors:	Jonathan K. Hodge • Steven Schlicker • Ted Sundstrom
Dimensions:	254 x 178mm (L x W)
Pages:	552
Edition:	2nd edition
ISBN-13:	978-0-367-55501-6
Categories:	Books Promotions
LSN:	0-367-55501-8
Barcode:	9780367555016

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