Karen E. Smith, Lauri Kahanpää, Pekka Kekäläinen, William Traves.
An Invitation to Algebraic Geometry: corrected edn.
Springer. 2004
The aim of this book is to describe 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.