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An Invitation to Algebraic Geometry (Universitext) et plus d'un million d'autres livres sont disponibles pour le Kindle d'Amazon. En savoir plus
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An Invitation to Algebraic Geometry (Anglais) Relié – 11 août 2001


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This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra. --Ce texte fait référence à l'édition Broché .



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Première phrase
Algebraic geometers study zero loci of polynomials. Lire la première page
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Couverture | Copyright | Table des matières | Extrait | Index | Quatrième de couverture
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54 internautes sur 56 ont trouvé ce commentaire utile 
Wow! 9 décembre 2001
Par Colin McLarty - Publié sur Amazon.com
Format: Relié Achat vérifié
This could be your only book on algebraic geometry if you just want a sound idea of what algebraic geometry can do. If you actually want to know the field, and you do not already have a lot of expert friends telling you about it, then the advanced books will go much more easily with this expert around. It is a terrific guide to the key ideas--what they mean, how they work, how they look.
The only book like this one in brevity and scope is Reid UNDERGRADUATE ALGEBRAIC GEOMETRY--with its highly informed, highly polemical, final chapter on the state of the art. Both are very good. This one is more advanced. Beyond what Reid covers, Smith sketches Hilbert polynomials, Hironaka's (and very briefly even De Jong's) approach to removing singularities, and ample line bundles. You do need a bit of topology and analysis to follow it. Smith has very many fewer concrete examples than Reid. They are beautifully chosen classics, like Veronese maps and Segre maps, so they teach a lot. And the more you know to start with, the more you will see in each.
The book does geometry over the complex numbers. It is good old conservative material, with terrific graphics of curves and surfaces. The proofs and partial proofs are very clear, intuitive and to the point. But, in fact, just because the proofs are so clear and to the point they usually work in a much broader setting. Long stretches of the book apply just as well over any field or any algebraically complete field. This generality is only mentioned a few times, in passing, but is there if you want it. Smith describes schemes very briefly, and mentions them at each point where they naturally arise. You will not know what schemes "are" at the end of this book. You will know some things they DO. She has no time for fights between "concretely complex" and "abstractly scheming" approaches--for her it is all geometry.
23 internautes sur 28 ont trouvé ce commentaire utile 
Splendid introduction 24 août 2004
Par Amazon Customer - Publié sur Amazon.com
Format: Relié Achat vérifié
For people just starting on Algebraic Geometry, Robin Hartshorne's book, is very daunting--but it is the ULTIMATE book for professional and advanced readers. But for starters, Karen Smith's "An Invitation to Algebraic Geometry" is simply a SPLENDID way to start working on the basic ideas. The author has some stunning graphs and pictures to help understand material. I loved the book the minute I opened it. BUY it NOW!
18 internautes sur 25 ont trouvé ce commentaire utile 
enjoyable guidance 12 février 2002
Par Un client - Publié sur Amazon.com
Format: Relié
i'm not a math student, but this book is very readable. it's short(150 pages) but many illustrative examples and exercises cover chief topics and facts, i assume. at first, i tried Eisenbud's "geometry of schemes" but it was too hard and Hartshorne's was somewhat alien to me. then comes this book. it helped me through the Eisenbud's, and convinced me algebraic geometry is an intriguing discipline.
2 internautes sur 3 ont trouvé ce commentaire utile 
Brilliant introduction to the subject 16 septembre 2012
Par Daniel McLaury - Publié sur Amazon.com
Format: Relié Achat vérifié
This book sets aside a lot of the tedious background required to get started in algebraic geometry and lets you get acquainted with the actual ideas of the subject. The section on vector bundles at the end could stand to be a little longer, but it's the best book on algebraic geometry that I know of.
1 internautes sur 2 ont trouvé ce commentaire utile 
Good if you can read between the lines. 21 septembre 2012
Par JIMLODGES - Publié sur Amazon.com
Format: Relié
This book gives you the absolute basics of what Algebraic Geometry is. But if you are looking to do research in this area, the book is terse and sometimes just not helpful. Make sure you have topology or can pick it up before you buy this book.
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