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  1. Home
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  3. Singular Points of Plane Curves
  • Cited by 129
Publisher:
Cambridge University Press
Online publication date:
December 2009
Print publication year:
2004
Online ISBN:
9780511617560
DOI:
https://doi.org/10.1017/CBO9780511617560
Subjects:
Mathematics (general), Mathematics, Real and Complex Analysis, Discrete Mathematics Information Theory and Coding
Series:
London Mathematical Society Student Texts (63)
Information

Book description

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.

Reviews

‘The text reflects the author‘s great expertise in the field in a masterly way … His style of writing mathematics is … motivating and highly inspiring. No doubt, this book will quickly become a widely used standard text on singularities of plane curves, and a valuable reference book, too.‘

Source: Zentralblatt MATH

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