pIn a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany, Plane Algebraic Curves reflects the authors700 concern for the student audience through its emphasis on motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles. This text also provides a foundation for the comprehension and exploration of modern work on singularities. pp--- ppIn the first chapter one finds many special curves with very attractive geometric presentations 8210 the wealth of illustrations is a distinctive characteristic of this book 8210 and an introduction to projective geometry over the complex numbers. In the second chapter one finds a very simple proof