Singular points of plane curves / C.T.C. Wall.
Material type:
TextSeries: London Mathematical Society student texts ; 63.Publisher: Cambridge : Cambridge University Press, 2004Description: 1 online resource (xi, 370 pages) : digital, PDF file(s)Content type: - text
- computer
- online resource
- 9780511617560 (ebook)
- 512/.22 22
- QA614.58 .W35 2004
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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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