Basic Algebra I: Second Edition (Dover Books on Mathematics)

In the 1980's when the first edition of this text appeared I visited the Boston Museum of Science and Technology. At a mathematics exhibit I found a timeline of great mathematicians in which Jacobson was identified as "the father of modern algebra." This book, now in its second edition is still widely used at many universities. I read it while I was a student at Yale in the 80's, and discovered that I missed a lot of material, having originally studied algebra from Herstein and linear algebra from Hoffman and Kunze as an undergrad at Cornell. Jacobson covers a lot more ground and his exercises are more challenging. I love this book, and it is a standard reference for elementary mathematics in my home library.

Prompt delivery in spite of the postal bottleneck. Thank you!

Well, I have to say finally I find this book. I borrowed this book to learn Algebra when I was an undergraduate student, now this books comes to my hands. The contents is well structured, and a lot of examples are included. I recommed this book strongly!

My review on the Part-II of this text book series holds for this part as well:"Staggeringly in depth text for all Mathematics majors. It does require you to find practice problems elsewhere but treatment of material has been done wisely"

This is classic series and I am keeping 1 & 2 in undergrad.

Classic textbook in algebra. Very famous around the world.

This is a good book for people who can read the way this book was written. I can read it and enjoy it. Some of my friends and colleagues didn't like how it was written or how the problems were set up. You could possibly learn better with a used outdated text book

This book is a great reference book. Explanations are clear and you can't beat the price! Make sure it has what you need.

Nonostante sia in inglese, è comprensibile e scritto in maniera molto chiara. L'introduzione è ben fatta e ogni capitolo ha una serie di esercizi.Consigliato a chi ha già delle basi di algebra e vuole consolidarle, altrimenti rischia di diventare difficile da subito

Les deux tomes Basic Algebra I et II constituent un cours complet d'algèbre couvrant (largement) tous les sujets étudiés jusqu'en première année de Master. Toutes les notions importantes sont traitées en profondeur et le tout est agrémenté d'un grand nombre d'exemples, d'exercices et de commentaires historiques. Un ouvrage vivement recommandé pour tous les étudiants en mathématiques.

改訂：2014/5/23　素人です。 Galois理論を学ぶのに一人の著者の「抽象代数学」の本で読んだ方が群、環、Module、Galois理論等が一緒に学べて効率的。かつNotationが統一されているので望ましいと思い購入　目標のCh.4　Galois理論まで何とか読みましたが予想以上に時間がかかりました。また理解とはほど遠い状況です。　しかし同一Notationであるのは予想以上に素晴らしい。特徴：数学科の学部生向けのFormalで格調高い教科書（所謂面白い本ではない。）・本書は米国の本なので懇切丁寧な本と予想してましたが想定外に簡潔な本。　しかし格調高い本。（ｅ,πの超越性に関するLindemann-Weierstrassの定理の証明等高度な内容も盛り込まれている。）・節末に厖大な練習問題がありますが、残念ながら解答はありません。「Solutions to Selected Exercises in Basic Algebra I by N. Jacobson」は絶版です。練習問題をある程度解かないと本文が全く理解できないので松坂和夫「代数系入門」（練習問題解答付）を併読しました。　数学科の学部生なら楽勝かもしれませんが、それ以外の学科、工学部、理系社会人、文系学生にはきつい本。　米国Amazonで人気のある下記の本と比較検討した方が良いと思われます。　・Charles C Pinter　「A Book of Abstract Algebra: Second Edition」 群論だけで約150頁。初歩的な内容の懇切丁寧な本と思われます。但し、Galois理論は少ない。　練習問題一部解答付・Dummit　　「Abstract Algebra, 3rd Edition 」　 944 pagesの大著　Galois理論は150頁。　練習問題解答無し。

Il migliore libro di algebra astratta che abbia mai letto. A distanza di anni dal primo utilizzo, continua a tornarmi utile per “rispolverare” certi argomenti. La peculiarità che mi porta a consigliare questo testo piuttosto che altri, è l’ordine con cui gli argomenti vengono introdotti: credo che non esista modo migliore per farlo.