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Singular Points of Plane Curves: 63 (London Mathematical Society Student Texts, Series Number 63) - Softcover

 
9780521547741: Singular Points of Plane Curves: 63 (London Mathematical Society Student Texts, Series Number 63)
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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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'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.' Zentralblatt MATH
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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.

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  • PublisherCambridge University Press
  • Publication date2004
  • ISBN 10 0521547741
  • ISBN 13 9780521547741
  • BindingPaperback
  • Number of pages384

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