Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable fo

From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turie

3264, the mathematical solution to a question concerning geometric figures.

The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras th

This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete p