Introduction to Algebraic Geometry

Algebraic geometry central to pure mathematics has important applications insuch fields as engineering computer science statistics and computationalbiology whic... » 

Algebraic geometry central to pure mathematics has important applications insuch fields as engineering computer science statistics and computationalbiology which exploit the computational algorithms that the theory provides.Users get the full benefit however when they know something of the underlyingtheory as well as basic procedures and facts. This book is a systematicintroduction to the central concepts of algebraic geometry most useful forcomputation. Written for advanced undergraduate and graduate students inmathematics and researchers in application areas it focuses on specificexamples and restricts development of formalism to what is needed to addressthese examples. In particular it introduces the notion of Grobner bases earlyon and develops algorithms for most everything covered. It is based on coursesgiven over the past five years in a large interdisciplinary programme incomputational algebraic geometry at Rice University spanning mathematicscomputer science biomathematics and bioinformatics. «