A comprehensive notation index is included with references to the original introduction of the notation in the text.

The topics covered here are basic, and will therefore not require any real updates. This is a big plus, since with commercial books most of the time a student buys a book and only a fraction of it is needed in a course.Written in a conversational, informal style the book is by and large free of grammatical errors.

This is often the fault that the exercises are collected for the entire chapter and not for individual sections. Although these sections are prefaced by some explanation of the exploratory topic, rarely are these topics thorough explained which might leave student grossly confused and require the instructor to supplement the textbook on any exercises assigned from here.

The textbook appears to be absent of regular grammatical or mathematical errors, although a few might be present. The coverage is all fairly standard, with excepting the definition of Galois group (see accuracy), and the referencing system in the HTML version is extremely convenient. In addition, it also includes material on some interesting applications (e.g., public key cryptography). Or omit the chapters on integral domains (with some minimal adjustment), lattices, and linear algebra if one is making a push to fields and Galois theory.The text has a relatively linear progression, with some exceptions. Such students often find it hard to see the use of learning to prove theorems and propositions; applied examples help the instructor provide motivation.This text contains more material than can possibly be covered in a single semester. Students will investigate Group theory; including permutation groups, Abelian groups, finite groups, and homomorphism theorems.

This textbook is recommended for a upper division undergraduate course on abstract algebra and contains enough materials to cover a two-semester sequence, with particular emphasis placed on groups, rings, and fields. Please check with a University Enrollment Representative.Transferability of credit is at the discretion of the receiving institution.

This textbook follows the classical approach to teaching groups, rings, and fields to undergraduate and will retain its value throughout the years as the theory and examples will not be changing. Initially the OTL contained a 2014 version of the book, which only made tangential reference to the SAGE computational system. Google search makes scanning the book quick and easy, the collapsible table of contents and the sidebar makes jumping around in the text simple. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. The reviewed makes no claim about the quality of the grammar of the Spanish version which was translated by Antonio Behn from the author's original English version.

Topics in an Abstract Algebra Course.

Culture is not really a concern for theoretical mathematics textbooks which focuses almost entire on mathematical content knowledge and theory and not so much on people or their relationships. Judson does this in practical ways given that Sage is such a big component of the book, and so there are many exercises and descriptions that stress this relevance. Three chapters on rings, one on lattices, a chapter reviewing linear algebra, and three chapters on field theory with an eye towards three classical applications of Galois theory. But I came across very few of these in my problem sets. In addition, this book covers modular arithmetic, which makes it even more "modular" in my opinion!It seems like there is no standard way to present this material. For me as instructor the book was very clear, however keep in mind that this was not the first source for learning the material.

ISBN: 9780023538209. Maybe adding pictures of the mathematicians involved would not be a bad thing.I liked the book, but I like more the concept of free access to theoretical and practical knowledge. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. There _are_ some errors in the exercises, however, like the inclusion of unnecessary or irrelevant parts, or typos. I find his style clean and easy to follow.

General.

I downloaded from the author’s website the full,...This book is introductory, and covers the basic of groups, rings, fields, and vector spaces.

Abstract Algebra: Abstract algebra is the set of advanced topics in algebra that deal with abstract algebraic structures rather than the usual number systems.

The book is accompanied with a comprehensive index of topics and notation as well of solutions to selected exercises.

Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.Until recently most abstract algebra texts included few if any applications. In an applied course, some of the more theoretical results could be assumed or omitted. While the author's choices are perfectly fine, my personal bias would have been to discuss polynomial rings and fields earlier in the text.The link on page v to Requirements. The content of the textbook is very accurate, mathematically sound, and there are only a few errors throughout. I particularly liked the selection of exercises.Another big advantage of a free book is that the student does not have to print all of it, certainly not all of it at the same time.

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