Articoli correlati a Algebraic Functions and Projective Curves: 215
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This book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic geometry and proceeding directly via valuation theory to the main results on function fields. It also develops the theory of singular curves by studying maps to projective space, including topics such as Weierstrass points in characteristic p, and the Gorenstein relations for singularities of plane curves.
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This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to non-specialists. At the same time, specialists in the field may be interested to discover several unusual topics. Among these are Tates theory of residues, higher derivatives and Weierstrass points in characteristic p, the Stöhr--Voloch proof of the Riemann hypothesis, and a treatment of inseparable residue field extensions. Although the exposition is based on the theory of function fields in one variable, the book is unusual in that it also covers projective curves, including singularities and a section on plane curves.
David Goldschmidt has served as the Director of the Center for Communications Research since 1991. Prior to that he was Professor of Mathematics at the University of California, Berkeley.
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Algebraic Functions and Projective Curves
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Springer, New York, 2002
ISBN 10: 0387954325
ISBN 13: 9780387954325
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Hardcover. Condizione: ex library-good. Gradute Texts in Mathematics 215. xvi, 179 p. 24 cm. Ex library with labels on spine and front, ink stamps on top edge and title. Spine faded. Some marks on covers. Codice articolo 148310
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Algebraic Functions and Projective Curves
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Algebraic Functions and Projective Curves
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Condizione: New. pp. 204 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Codice articolo 7589926
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Algebraic Functions and Projective Curves
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Condizione: New. pp. 204. Codice articolo 18290803
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Algebraic Functions and Projective Curves
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic geometry and proceeding directly via valuation theory to the main results on function fields. I. Codice articolo 5912528
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Algebraic Functions and Projective Curves
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic geometry and proceeding directly via valuation theory to the main results on function fields. It also develops the theory of singular curves by studying maps to projective space, including topics such as Weierstrass points in characteristic p, and the Gorenstein relations for singularities of plane curves. 204 pp. Englisch. Codice articolo 9780387954325
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Algebraic Functions and Projective Curves
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Springer New York, Springer US Okt 2002, 2002
ISBN 10: 0387954325
ISBN 13: 9780387954325
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Buch. Condizione: Neu. Neuware -This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier access to the facts against a loss of generality and an impaired understanding of some fundamental ideas. Whether or not this is a useful tradeoff is something you will have to decide for yourself. One of my objectives was to make the exposition as self-contained as possible. Given the choice between a reference and a proof, I usually chose the latter. - though I worked out many of these arguments myself, I think I can con dently predict that few, if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 204 pp. Englisch. Codice articolo 9780387954325
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Algebraic Functions and Projective Curves (Graduate Texts in Mathematics, 215)
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Condizione: New. In. Codice articolo ria9780387954325_new
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Algebraic Functions and Projective Curves
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ISBN 10: 0387954325
ISBN 13: 9780387954325
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier access to the facts against a loss of generality and an impaired understanding of some fundamental ideas. Whether or not this is a useful tradeoff is something you will have to decide for yourself. One of my objectives was to make the exposition as self-contained as possible. Given the choice between a reference and a proof, I usually chose the latter. - though I worked out many of these arguments myself, I think I can con dently predict that few, if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature. Codice articolo 9780387954325
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Algebraic Functions and Projective Curves
Editore:
Springer-Verlag New York Inc., 2002
ISBN 10: 0387954325
ISBN 13: 9780387954325
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Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1060. Codice articolo C9780387954325
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