A Friendly Introduction to Group Theory: 2nd Edition

By Dr. David A. Nash and David Nash

This book is a friendlier, more colloquial textbook for a one-semester course in Abstract Algebra in a liberal arts setting. It would also provide a nice supplement for a more advanced course or an excellent resource for an independent learner hoping to become familiar with group theory. The textbook covers introductory group theory with an overarching goal of classifying small finite groups. It starts with a chapter of preliminary background material (set theory, basic number theory, induction, etc.) before introducing groups. The rest of the second edition builds up the basic notions and creates a bank of nice examples before proceeding on to more advanced topics. Those topics include: subgroups, quotient groups, decompositions of groups, group homomorphisms, isomorphisms, automorphism groups, p-groups, the Fundamental Theorem of Finite Abelian Groups, group actions, conjugation, Sylow subgroups and the Sylow theorems.The second edition adds over 75 pages of new material with an entirely new chapter, several new sections, and additional examples and exposition throughout. There are also almost 200 new exercises and an index to help you find what you are looking for.For sample pages, and additional information, please see:https://web.lemoyne.edu/nashd/textbook.html

• Format: Paperback
• Language: English
• ISBN: 1976042399
• ISBN13: 9781976042393
• Release Date: September 2017
• Publisher: CreateSpace Independent Publishing Platform
• Length: 236 Pages
• Weight: 1.41 lbs.
• Dimensions: 11.0" x 0.6" x 8.5"