Sets and groups: A first course in algebra

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About the Course

The first pages of this book cover group theory, while the rest of the book is an introduction to rings and fields, which are additional areas of abstract algebra. We will cover the group theory part of the book, although at the end of the course we might substitute a short introduction to rings and fields for some of the more advanced material on group theory. Homework will be assigned weekly. Most of the homework exercises will be taken from the textbook, but I will add a few problems of my own from time to time. Your solution to every homework exercise must include a justification for your answer.

FIRST COURSE IN ABST. ALGEBRA: RINGS, GROUPS, A

You will find the answers to many of the textbook's exercises at the back of the book. This will not necessarily stop me from assigning these exercises, since what I expect from you is a justification, not a simple one-word answer. I encourage people to work together on homework. However, everyone is responsible for writing up and turning in their own solutions, and for understanding what they turn in.

In addition to the homework that I assign to the entire class, I might occasionally assign a problem to an individual, for that individual to work on and present in class. There will be three in-class tests and a final exam.

Simple Groups - Abstract Algebra

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This third edition of the standard text for modern algebra courses, teaches students as much about groups, rings and fields as possible in a first abstract algebra course with a minimum of introductory material on set theory. New chapters on isomorphism theorems, applications of G-sets to counting, free abelian groups, and a proof of the Jordan-Hoelder theorem have been added. Also included are sections of group action on a set, applications to burnside counting and the Sylow theorems with complete proofs.

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Product Details. This third edition of the standard text for modern algebra courses, teaches students as much about groups, rings and fields as possible in a first abstract algebra course with a minimum of introductory material on set theory. Product Image. Company Details.


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