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  3. Singular Points of Plane Curves
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  • Publisher:
    Cambridge University Press
    Publication date:
    04 December 2009
    08 November 2004
    ISBN:
    9780511617560
    9780521839044
    9780521547741
    DOI:
    https://doi.org/10.1017/CBO9780511617560
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.655kg, 384 Pages
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.535kg, 382 Pages
    • Subjects:
    Mathematics (general), Mathematics, Real and Complex Analysis, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Student Texts (63)
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    Subjects:
    Mathematics (general), Mathematics, Real and Complex Analysis, Discrete Mathematics Information Theory and Coding
    Series:
    London Mathematical Society Student Texts (63)
    Information

    Book description

    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.

    Reviews

    ‘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.‘

    Source: Zentralblatt MATH

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