An Invitation to Algebraic Geometry

An Invitation to Algebraic Geometry

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Description

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.

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Product details

  • Paperback | 164 pages
  • 147.32 x 223.52 x 15.24mm | 294.83g
  • Springer-Verlag New York Inc.
  • New York, NY, United States
  • English
  • Softcover reprint of hardcover 1st ed. 2000
  • biography
  • 1441931953
  • 9781441931955

Review quote

K.E. Smith, L. Kahanpaeae, P.Kekaelaeinen, and W.N. Traves An Invitation to Algebraic Geometry "The book ... is clear and accessible."-CHOICE

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Table of contents

1 Affine Algebraic Varieties.- 2 Algebraic Foundations.- 3 Projective Varieties.- 4 Quasi-Projective Varieties.- 5 Classical Constructions.- 6 Smoothness.- 7 Birational Geometry.- 8 Maps to Projective Space.- A Sheaves and Abstract Algebraic Varieties.- A.1 Sheaves.- A.2 Abstract Algebraic Varieties.- References.

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