Singular Points of Plane Curves
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Singular Points of Plane Curves by C. T. C. Wall
Book DescriptionEven 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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Book DetailsISBN: 9780521839044
(228mm x 152mm x 25mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 8-Nov-2004
Country of Publication: United Kingdom
Books By Author C. T. C. Wall
Differential Topology, Hardback (July 2016)
A comprehensive account giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.
Real and Complex Singularities, Paperback (October 2010)
Surveys and articles on recent developments in pure and applied singularity theory.
Singular Points of Plane Curves, Paperback (November 2004)
Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere.
Geometric Introduction to Topology, Paperback (April 1994)» View all books by C. T. C. Wall
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.
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