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.
General
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