Singular Points of Plane Curves
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Student Texts
ISBN-10
0521547741
ISBN-13
9780521547741
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 15th, 2004
Print length
382 Pages
Weight
534 grams
Dimensions
22.70 x 15.30 x 2.00 cms
Product Classification:
Complex analysis, complex variablesAnalytic geometry
Ksh 12,950.00
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The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is an original synthesis, with new views and results not found elsewhere.
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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