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"Lang’s Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books."―NOTICES OF THE AMS
"The author has an impressive knack for presenting the important and interesting ideas of algebra in just the ‘right’ way, and he never gets bogged down in the dry formalism which pervades some parts of algebra."―MATHEMATICAL REVIEWS
From the reviews of the third edition:
"The current third edition has grown again … dealing with topics close to the author’s heart from number theory, function theory and algebraic geometry. For the math graduate who wants to broaden his education this is an excellent account; apart from standard topics it picks out many items from other fields … . This makes it a fascinating book to read … . a very readable treatment of many modern mainline topics as well as some interesting out-of-the-way items." (Paul M. Cohn, Zentralblatt MATH, Vol. 984, 2003)
"Lang’s Algebra … has gained an iconic status, due both to the comprehensiveness of its coverage and its ability to be authoritative and lively at the same time. … a revolutionary work, changing the way in which graduate algebra was taught. … the author describes the book as ‘very stable’, indicating that there is little that he has wished to change. This confidence is reflected in the wider mathematical community, and ... this new printing deserves a place in every university departmental library." (Gerry Leversha, The Mathematical Gazette, Vol. 87 (509), 2003)
I really like the book. It can be rough but every time I have sat down and really tried to figure out what Lang is doing in some proof, I come out having learned so much. Read morePublished 1 month ago by QQ
This is like an encyclopedia for algebra. You wouldn't want to read it in order to learn the material for the first time, but everything is in there so it makes a great reference.Published 3 months ago by Dan
I'm not a mathematician, but even I can see that many of the basic proofs are incomplete, or misleading at best. Read morePublished 3 months ago by BB
An excellent book to learn algebra, it covers many subjects and evidences the relationship betwen them.Published 3 months ago by Laura Espinosa-Méndez
A great reference book for algebraists, but not great for learning out of. Very dense, but easy to look things up.Published 9 months ago by Sara T
Had to go through most of this book for PhD course and I hated it. It contains zero motivation and explanation as to why did anyone ever explore these topics, e.g. Read morePublished 10 months ago by Nikola Adzaga
EXCELLENT BOOK BUT I IS WRITTEN IN SUCH A HARD WAY. EXERCISES ARE MUCH HARDER THAN THE CONTENT. YOU NEED DIFFERENT BOOKS TO UNDERSTAND WHAT IS GOING ON.Published 17 months ago by Adnan Abdulwahid
When I bought it the price is 65. But later I drops to 55.
The book is very very good. Though I have an international version, I still want an original hardcover.