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Algebra
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Binding: Hardcover
Dewey Decimal Number: 512.9
EAN: 9780130047632
Edition: United States Ed
ISBN: 0130047635
Label: Prentice Hall
Manufacturer: Prentice Hall
Number Of Items: 1
Number Of Pages: 672
Publication Date: May 04, 1991
Publisher: Prentice Hall
Studio: Prentice Hall
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Editorial Review:
Diese ungewöhnliche Einführung in lineare Algebra und Algebra ist über viele Jahre aus den Vorlesungsnotizen des Autors gewachsen und zeichnet sich aus durch einen harmonischen Aufbau des behandelten Stoffes. Als eine Besonderheit umfasst dieser nebst den üblichen Inhalten auch die Betonung spezieller Themen wie Symmetrie, lineare Gruppen und quadratische Zahlkörper. Der Text besticht insbesondere durch eine für den Studenten besonders verständliche Präsentation des Stoffes. Zahlreiche Beispiele und Übungsaufgaben erhöhen seinen Wert als studienbegleitende Literatur für die ersten drei bis vier Semester des Studiums der Mathematik und verwandter Gebiete. Dieses sehr lebendig geschriebene Lehrbuch umfasst sowohl lineare Algebra (Matrizen, Vektorräume, lineare Abbildungen und Bilinearformen) als auch Algebra (Gruppen, Ringe, Moduln, Darstellungen von Gruppen und Körpertheorie). Darüberhinaus werden die Themen Symmetrie, lineare Gruppen und quadratische Zahlkörper ausführlicher behandelt. Diese Kapitel illustrieren nicht nur die enge Verbindung zwischen Algebra einerseits und Geometrie bzw. Zahlentheorie andererseits, sie lassen auch besonders viel von der Begeisterung und dem persönlichen Engagement des Autors spüren. Er hat in dieses Buch die Summe der Erfahrungen einfliessen lassen, die er im Laufe vieler Jahre mit Algebravorlesungen gemacht hat. Der Stoff wird sehr verständlich präsentiert und ist mit einer Fülle von Beispielen angereichert, die die abstrakte Begriffsbildungen motivieren und veranschaulichen. Dadurch ist das Buch, das ausserdem zahlreiche Übungsaufgaben enthält, auch zum Selbststudium hervorragend geeignet.
Customer Reviews
Average Rating: 
Rating:  - A totally useless textbook.
The book by Artin was the most useless math textbook I have ever used. His proofs are impossible to understand, the exercises are frequently useless (either trivial results or monstrously tedious), and for the difficulty of the text to understand, the rigor of the presentation is astoundingly low (i.e. proving everything with matrices). His proving most of his statements with verbal exposition is also annoying as it makes it impossible to reference results in the book when solving problems. Also ... Read More
Rating:  - the best book for bright undergrads
To clarify the comments appearing here, this book was written a good while back for MIT sophomore math majors. That is a very elite group, and it was challenging to many of them. The quality of student preparation has continued to decline since that time with predictable reactions to this book.
Nowadays a book like Dummitt and Foote, which is dumbed down to the level of the average student of today, is actually more detailed and easier to read, even though aimed largely at grad students, ... Read More
Rating: - Awesome book, belongs on every mathematician's shelf
Wow, I love this book. After my first course on proof-writing, I took Algebra in my second year in college, and this is the book we used. There's certainly a lot to say about this one. Where to begin?
Okay, so this is roughly broken up into three sections: Group Theory (Ch. 1-6), Representation Theory (Ch. 7-9), and Rings, Modules, Fields/Galois Theory (Ch. 10-14). Artin really wants the student to enjoy math and have fun with it, I think. The standard intros to basic subjects are normally ... Read More
Rating: - Worst Math Book Ever
Okay. So I am currently in an introductory algebra class using Artin's book. Well, I wouldn't exactly say I'm using it. Rather, I'm using two other books, and then doing assigned problems from his book. If I could give negative stars, I would.
I have to disagree with some others who have reviewed - making a student who has never seen most of these theories 'fill in the blanks' is not a good way to go about it. Better books realize that most of the material is very abstract, especially for those students ... Read More
Rating: - Concrete Abstract Algebra
I think this book should be the new standard textbook for abstract algebra(although not a new book, lol).
As you know, Michael Artin is a son of Emil Artin.
Emil Artin's description of mathematics is dense, concise.
For example, his textbook about Galois theory is thinner than
PS3's manual(lol). Of course it is a virtue. I like acrobatics(lol).
I think he was not only a mathematician but also an ecologist.
In contrast, Michael Artin's description style needs much paper. ... Read More
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