- Taschenbuch: 797 Seiten
- Verlag: Springer Berlin; Auflage: korrig. Nachdr. (Dezember 1995)
- Sprache: Englisch
- ISBN-10: 3540942696
- ISBN-13: 978-3540942696
- Größe und/oder Gewicht: 15,6 x 4,8 x 23,8 cm
- Durchschnittliche Kundenbewertung: 4 Kundenrezensionen
- Amazon Bestseller-Rang: Nr. 3.722.380 in Fremdsprachige Bücher (Siehe Top 100 in Fremdsprachige Bücher)
- Komplettes Inhaltsverzeichnis ansehen
Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) (Englisch) Taschenbuch – Dezember 1995
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This book is an attempt to write on commutative algebra in a way that includes the geometric ideas that played a great role in its formation with a view, in short, towards algebraic geometry. The author provides a book that covers the material that graduate students studying algebraic geometry - and in particular those studying, "Algebraic Geometry" by Robin Hartshorne - should know. The reader should have had had one year of basic graduate algebra.
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It is an exceptionally good book on a subject that is normally difficult to get a handle on. Eisenbud's readable book gives intuitive and motivated proofs of even very technical results in commutative algebra, often illustrated with instructive examples, such as the useful figures illustrating embedded primes. A very nice feature is that he gives proofs to all the results in commutative algebra used by Robin Hartshorne's popular "Algebraic Geometry," making them a nice pair of books to read together.
I found this to be useful as a reference as well as a text. Most sections are fairly self-contained and many important topics are included in depth. I almost always find that it is the best place to learn any of the material covered.
This book belongs on the shelf of anyone learning algebraic geometry, although it will spend plenty of time off the shelf as well.
er sehr schwierige Konzepte sehr verständlich macht und
das Buch ist ausserdem sehr umfanreich, es wäre gut wenn alle Bücher so geschrieben wären.
Ich emphfele allen es zu lesen.
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For instance, the front cover looks as though someone tried to upscale an image to make it fit the size required, and because of this, there is a lack of resolution in how it was printed. The second sign that my copy is not "authentic" is due to the fact that I have compared the size of my copy to the size other copies, and mine is far thicker, meaning that the paper that it was printed on is far thicker. Upon closer inspection, it is easy to detect differences in paper texture and quality between my copy and the others that I have seen.
This is not a knock on the book, just a knock on the distributor that sold it to Amazon (I bought it via the Amazon prime option). With those points aside, the book is completely readable and there aren't any major issues with my copy. I am however concerned about whether the binding process will hold up. If I have any issues with the binding, I'll update this in the future.
P.S. - I have a suspicion that my copy might have been illegally printed by a company and then sold as an authentic copy. If this is not what happened, then I guess Springer (which I has great graduate textbooks) is using an inferior printing process to what they have used in the past.
The book is extremely comprehensive as well, any time I have a question which can be phrased purely algebraically, Eisenbud is my first reference. On the other hand, this makes it the heaviest book on my shelf even as a paperback. 800 pages!
There is one section I did learn from as a first source, the introduction to homological algebra in the appendices which I found to be really well-done. It certainly isn't done in the generality or depth as Weibel, but if you are only interested in modules over a ring or the easy generalizations to quasi-coherent modules on a scheme, this is a great place to learn the essentials of things like derived functors, spectral sequences, and even a cursory intro to derived categories that allowed me to get into Weibel's derived category chapter with ease.
First, it is a delight to read. The clarity is excellent. It's understood that part of the clarity is based on reader's background! I didn't major in mathematics, and mine is an effort to (try to) learn some aspects of commutative algebra. Even with that sort of limited background of a beginner, I was able to tread through the material - as far as I read.
Second, the motivation and historical backgrounds are fantastic. Especially for someone who may not know a lot about connections with other areas, this was a great help in putting things in perspective. One downside is that it makes the chapter a little more verbose than it needs to be for a quick access. But then for me it was a virtue; someone else may not find it so.
Finally, the book doesn't have a strict linear flow. So it is somewhat easier, especially for an expert, to just pick a chapter and start reading it. A feature that I enjoy a lot in general, although I am not an expert in this area by any stretch.