Singular Points of Plane Curves

English

Series: London Mathematical Society Student Texts

Volume: Vol. 63

ISBN: 051126223X

EAN: 9780511262234

Category: Mathematics / Geometry / Algebraic

Publisher: Cambridge University Press

Release Date: 11/18/2004

Synopsis: 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.

Excerpt: Unknown Property Excerpt

Singular Points of Plane Curves

Illustrated: No

Format: eBook - PDF

Pages: 382