Singular points of plane curves
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 math...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2004
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| Series: | London Mathematical Society student texts
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| Subjects: | |
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| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
| Summary: | 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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| Physical Description: | xi, 370 pages digital |
| ISBN: | 9780511617560 |