Singular Points of Plane Curves

Even the simplest singularities of planar curves, e.g. where the curve crosses itself, or where it forms a cusp, are best understood in terms of complex numbers. The full treatment uses techniques from algebra, algebraic geometry, complex analysis and topology and makes an attractive chapter of mathematics, which can be used as an introduction to any of these topics, or to singularity theory in higher dimensions. This book is designed as an introduction for graduate students and draws on the author's experience of teaching MSc courses; moreover, by synthesising different perspectives, he gives a novel view of the subject, and a number of new results.

• Written by one of the foremost researchers and teachers in the field
• Thorough grounding that enables students to move on to higher study or begin research
• Developed over several years of successful teaching and is also an original synthesis, with views and results not found elsewhere