Algebraic Geometry: A First Course (Graduate Texts in Mathematics, 133) - Hardcover

Harris, Joe

  • 4.06 out of 5 stars
    17 ratings by Goodreads
 
9780387977164: Algebraic Geometry: A First Course (Graduate Texts in Mathematics, 133)
Hardcover
ISBN 10: 0387977163 ISBN 13: 9780387977164
Publisher: Springer, 1992

Synopsis

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.

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Review

J. Harris

Algebraic Geometry

A First Course

"This book succeeds brilliantly by concentrating on a number of core topics (the rational normal curve, Veronese and Segre maps, quadrics, projections, Grassmannians, scrolls, Fano varieties, etc.) and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship."―MATHEMATICAL REVIEWS

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1992
Language
English
ISBN 10 
0387977163
ISBN 13 
9780387977164
Binding
Hardcover
Number of pages
349
Rating
  • 4.06 out of 5 stars
    17 ratings by Goodreads

Other Popular Editions of the Same Title

9781441930996: Algebraic Geometry: A First Course (Graduate Texts in Mathematics)

Featured Edition

ISBN 10:  144193099X ISBN 13:  9781441930996
Publisher: Springer, 2010
Softcover