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.
- ISBN13 9780521547741
- Publish Date 15 November 2004 (first published 1 January 2004)
- Publish Status Active
- Out of Print 3 August 2021
- Publish Country GB
- Imprint Cambridge University Press
- Format Paperback (US Trade)
- Pages 382
- Language English