1988/12/15 by Miles Reid · 5 citations
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic geometry #Combinatorics #Conic section #Differential algebraic geometry #Differential equation #Differential geometry #Geometry #Ideal (ethics) #Mathematical analysis #Mathematics #Polynomial and algebraic computation #Projective geometry #Pure mathematics #Topology (electrical circuits)
paper · doi:10.1017/cbo9781139163699
openalex publication_date 1988/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02
Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time. 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 non-singularity and dimension. He is at pains to stress the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book arises from an undergraduate course given at the University of Warwick and contains numerous examples and exercises illustrating the theory.