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Algebraic Functions and Projective Curves

Buch | Hardcover
185 Seiten
2002
Springer-Verlag New York Inc.
978-0-387-95432-5 (ISBN)

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Algebraic Functions and Projective Curves - David Goldschmidt
CHF 74,85 inkl. MwSt
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.

Background.- Function Fields.- Finite Extensions.- Projective Curves.- Zeta Functions.

Reihe/Serie Graduate Texts in Mathematics ; 215
Zusatzinfo XVI, 185 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-387-95432-5 / 0387954325
ISBN-13 978-0-387-95432-5 / 9780387954325
Zustand Neuware
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