Undergraduate Algebraic Geometry

Undergraduate Algebraic Geometry book cover

Undergraduate Algebraic Geometry

Author(s): Miles Reid (Author)

  • Publisher: Cambridge University Press
  • Publication Date: January 27, 1989
  • Edition: 1st
  • Language: English
  • Print length: 140 pages
  • ISBN-10: 0521356628
  • ISBN-13: 9780521356626

Book Description

Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of prerequisites, Dr. Reid introduces the reader to the basic concepts of algebraic geometry, including: plane conics, cubics and the group law, affine and projective varieties, and nonsingularity and dimension. He stresses the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book contains numerous examples and exercises illustrating the theory.

Editorial Reviews

Review

“Before Reid’s volume there was hardly anything to recommend at the undergraduate level…Reid’s book is fun; it is filled with examples, applications, asides, gossip…What it does, it does well, and there is nothing comparable.” Choice

“…at a level advanced undergraduates will understand and appreciate.” Mathematics Magazine

“…the author leads the student on a lively, interesting, down-to-earth tour of the fundamental algebraic geometry…with some welcome, provocative comments…” American Mathematical Monthly

Book Description

This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time.

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