Description

Book Synopsis
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.

Trade Review

K.E. Smith, L. Kahanpaeae, P.Kekaelaeinen, and W.N. Traves

An Invitation to Algebraic Geometry

"The book . . . is clear and accessible."—CHOICE



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.

An Invitation to Algebraic Geometry

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    A Paperback by Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen

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      Book details

      Publisher Springer-Verlag New York Inc.
      Published 1/19/2010 12:11:00 AM
      ISBN-13 9781441931955
      978-1441931955
      ISBN-10 1441931953
      Also in:
      Mathematics Algebraic geometry

      Description

      Book Synopsis
      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.

      Trade Review

      K.E. Smith, L. Kahanpaeae, P.Kekaelaeinen, and W.N. Traves

      An Invitation to Algebraic Geometry

      "The book . . . is clear and accessible."—CHOICE



      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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