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GTM 44 Elementary Algebraic Geometry (Graduate Texts in Mathematics) (K. Kendig) 038790199X.pdf

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GTM 44 Elementary Algebraic Geometry (Graduate Texts in Mathematics) (K. Kendig) 038790199X.pdf

文档介绍

文档介绍:Keith Kendig
Elementary Algebraic
Geometry
Springer-Verlag
New YorkHeidelbergBerlin
Dr. Keith Kendig
ClevelandState University
Department of Mathematics
Cleveland. Ohio 44115
EditorialBoard
P. R. Halmos F. W. Gehring C. C. Moore
ManagingEdilor Universityof Michigan University of California atBerkeley
University of California Department of Mathematics Department of Mathematics
Department of Mathematics Ann Arbor, Michigan 48104 Berkeley, California 94720
Santa Barbara. California 93106
AMS SubjectClassification l3—0I,14—HI
Library of Congress Cataloging in Publication Data
Kendig,Keith, 1938—
Elementary algebraicgeometry.
(Graduatetexts in mathematics44)
Bibliography:p.
Includes index.
I. Algebraic..2. Commutative algebra.
1. .
516'.35
All rights reserved.
No part of this book may be translated or reproduced
in any form without written permission from Springer-Verlag.
***@1917 by Springer- York Inc.
Printedin the United States of America.
ISBN O-387-90I99-XSpringer-Verlag New York
ISBN 3-540-90199-XSpringer-VerlagBerlinHeidelberg
Preface
This bookwas writiento make learning introductory algebraic geometry as
easy as possible. It is designed for the general first- and second-year graduate
student, as well as for the nonspecialist; the only prerequisites are a one-year
course in algebra and a plex analysis. There are many examples
and pictures in the book. One's sense of intuition is largely built up from
exposure to concrete examp'cs. and intuition in algebraic geometry is no
exception. I have also tried to avoid too much generalization. If one under-
stands the core of an idea in a ete setting, later generalizations e
much more meaningful. There are exercises at the end of most sections so
that the reader can test his understanding of the material. Some are routine,
others are more challenging. Occasionally, easily established results used in
the text have been made into exercises.