This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Gold

This respected text makes extensive use of applications and features items such as historical vignettes to make the material useful and interesting. The text is

Auf der Grundlage einer Einführung in die kommutative Algebra, algebraische Geometrie und komplexe Analysis werden zunächst Kurvensingularitäten untersucht.

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.