Modern Algebra

This book has received much undue criticism from other reviewers. Yes, the book is too thick (should be two volumes) and a bit old. But consider this:I've self-taught myself most of this book in the past year, while attending school full-time as a materials science major (a whole field known to shy away from mathematics).This book is unbelievably affordable and covers most of the main topics of modern algebra (good enough for those of us who just want to learn basics).The book is entirely self-contained, which helps a lot if you don't have the most extensive mathematics background.If your discipline isn't math but you're tired of "learning," ie. skirting around mathematical topics, in your classes, check out this book.

This is a summary that embraces most of the basic topics of the modern algebra. But we don't demand too much to a book that tries to make so much. In general, the book is a very good introduction to the lineal algebra if we take into account the relating chapters to the Vectorial Spaces, the Lineal Operators and The Spaces with Interior Product. The relating chapters to the Algebraic Structures, Rings and Fields constitute the basic introduction to the rest of the book and they are been in a very meticulous way, where each term is introduced in a very orderly and coherent form. The relating chapters to the natural Numbers and the Real Numbers and Complexes complete the work, with a very special care where they are presented each one of the numeric sets in such a form that leave satisfied to who wants a good introduction to these topics. Each one of these chapters requires of the content of the chapters of basic introduction that before mentioned. The chapter of the Polynomials is delicious, simple, and gives pleasure to read it. In the chapter Algebraic Extensions of Fields explains in a very pleasant way the theory of Galois. In this book many concepts watered along many volumes of books that not treat other diverse topics dedicated exclusively to the Modern algebra were gathered. The whole book this full with exercises (more than 1300 along the whole work) in that the concepts are applied introduced in each chapter, and also, many of those exercises not include concepts presented in the theory, and that they enrich more the work. This book is, in definitive, a well written, very orderly work, rich in content, and with abundant exercises that help us to the understanding of this topic. If you want a good book of Modern Algebra for Undergraduates, this the one of them.

After finishing up the math at a local college, I was somewhat at a loss as to what I should study next. Fishing around I found that everyone would recommend algebra, but couldn't begin to point me to a book. If this is you, this is your book.

This is by far the best abstract algebra book I have seen. I bought this when I was in high school and found it a bit too difficult, so I suggest holding off until you have gone through an easier book or an undergrad course.Warner's is HUGE and you will use it as a reference after you have finished it. Best of all, it costs about one-fourth the price of inferior texts.If you are serious about knowing all the gory details of algebra, you need this book.

This book is a very abstract approach to contemporaryalgebra, and is suitable for advanced undergraduates inmathematics. Dr. Warner is recently retired from Duke University, and has written a very nice 2-volume text (this Dover edition is BOTH volumes bound as one) focusing on all of the classic topics in abstract algebra, and beyond. This book is absolutely filled with very creative exercises to solidify the subtleties of the subject in the students' mind. A solid reference text as well. An unusual approach, very different from the standard texts (e.g. Gallian).