Algebra

Graduate Texts in Mathematics #73

by Thomas W. Hungerford

Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. The guiding philosophical principle throughout the text is that the material should be presented in the maximum usable generality consistent with good pedagogy. Therefore it is essentially self-contained, stresses clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.

Genres: Mathematics, Algebra, Textbooks, Reference, Technical

528 pages, Paperback

First published December 3, 1980

Reviews

[Phil · Rating 4 out of 5]

This is the best introduction to Abstract Algebra at the graduate level out there. I say that only because its the one I learned algebra from, and everyone thinks highly of the books that they actually learned something from! Hungerford does do a good job of presenting the material in an understandable way. Many exercises are given throughout, of varying difficulty. The proofs in this book have enough detail to follow, but do have a somewhat annoying tendency to make multiple references to previous unnamed theorems, which causes a lot of page flipping. Some of this is unavoidable in a mathematics text, but I found that Hungerford goes overboard with it--where another author would gloss over with something like "it follows that," Hungerford gets in the habit of cryptically citing basic results from earlier on in a way that actually works against the developing of one's intuition for the mathematical objects he's dealing with.

[Geoffrey Lee · Rating 5 out of 5]

Hungerford's Algebra is a beautifully written book which covers a wide range of material. Unlike Serge Lang's book on Algebra, which is more like a technical reference guide, Hungerford's book provides clear and intuitive arguments without sacrificing any rigor. The exercises range from easy to difficult and there are plenty of examples to illustrate comments. This book is infinitely superior to Serge Lang's book.

[LordTenedor · Rating 1 out of 5]

Esto es la mayor puta mierda que he leído en toda mi vida

[Sara · Rating 4 out of 5]

Great all-purpose graduate reference book. Highly recommended.

[Han Zhicheng · Rating 5 out of 5]

The first-ever GTM text in my life. Hopefully this will kick a good start. This book is excellent for those beginner in algebra who would like to have a panorama of this field. Its settings are clear thus good.

As for reviewing this book, I will need to revisit the part of tensor products, the structure of rings (especially the division algebra) later. The introduction to ag (namely Hibert's Nullensatz) and algebraic Number theory( Dedekind's domain) contains certain very daunting proofs which I shall definitely need to recall.

[Jerzy]

Oops, my bad - I had a 1-star review of this for a while but I was actually thinking of a different book. The one I hated was actually Robinson's "A Course in the Theory of Groups," and that's probably only because I was under-prepared for it at the time. I haven't read this Hungerford text yet but I hear it's pretty good.

[NumberLord · Rating 5 out of 5]

This is the book for abstract algebra. Great for a graduate student, and probably okay for undergrads too.

[psb · Rating 5 out of 5]

And attractively priced too ...

[Shubha V · Rating 4 out of 5]

usefull