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From April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books: "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." From MathSciNet's review of the first edition: "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." This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text. Review: 1 - 1 Review: A Essential reference to more advanced algebra at university . - This is comprehensive, clear and moreover accessible if at cost of a little work . It is ,of course, "a standard " and essential guide to what any algebraist should know regardless of course .
| Best Sellers Rank | 224,039 in Books ( See Top 100 in Books ) 89 in Algebra (Books) 218 in Higher Mathematical Education |
| Customer Reviews | 4.6 out of 5 stars 157 Reviews |
Z**U
1
1
A**K
A Essential reference to more advanced algebra at university .
This is comprehensive, clear and moreover accessible if at cost of a little work . It is ,of course, "a standard " and essential guide to what any algebraist should know regardless of course .
E**E
Great
A really good book
G**E
Bad textbook, good reference
If you want to learn algebra, read R. Godement's Algebra. If you want a good reference book, Lang is a smart choice. I don't know why so many graduate algebra courses list this book as the main text. The author is certainly competent, but this is *not* a textbook. Thus, when presented as a 'Graduate Text in Mathematics', Lang's Algebra is somewhat misleading. Hence 3 stars.
K**Y
The only Algebra book I can tolerate
It is not often that an author of a graduate textbook shares their understanding rather than merely provide a collection of theorems and proofs. Lang always delivers on this front. I'm partial to analysis myself, so I was certainly hesitant picking up this tome. But you'll find that it has everything you need (and much more). I primarily used the first four chapters, as well as the chapter on algebraic varieties. Each chapter is concise and written in a conversational style. There are many many great exercises as well.
A**S
Bad
A**E
Great if you know what you are doing
I love this book. It is, of course, not meant as a first exposure, but it is an amazing read if you are familiar with the basics of algebra. Every time I see some algebraic construction that I'm not familiar with I just look it up in Lang and read some epsilon-neighbourhood of the construction. The point is, the text is SO WELL ORGANISED that you really can learn about constructions and theorems and even general theories etc. very very quickly if you know what it's supposed to be about (i.e. if you don't need 5 pages of motivation and various visualisations etc.). The constructions and arguments leading to theorems and so on are almost always clearly recognisable. Also, great, huge list of references about anything of interest that comes up in the text (more specific references being at the end of the corresponding bits). Even if you don't buy it now, a time WILL COME that you'll want to have this book on your shelf.
U**L
Amazing book
It's really an amazing book. The quality of pages, the printing and overall of whole book is good. I definitely suggest to buy this book if you want to invest your time, money & energy in some good book.
I**S
Lang non si discute e basta
Visto l'Autore, inutile commentare: o lo ami o lo eviti
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