Singular Points of Plane Curves PDF (Adobe DRM) download by C. T. C. Wall

Singular Points of Plane Curves

Cambridge University Press
Publication date: November 2004
ISBN: 9780511262234
Digital Book format: PDF (Adobe DRM)

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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.
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