Undergraduate Algebraic Geometry

ISBN-13: 9780521356626 / Angielski / Miękka / 1989 / 140 str.

Miles Reid; C. M. Series; J. W. Bruce

Opis

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.

Recenzje

"...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

Spis treści

1. Playing with plane curves; 2. The category of affine varieties; 3. Applications; Index.