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  3. Curves and Singularities
  • Cited by 324
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 June 2012
      26 November 1992
      ISBN:
      9781139172615
      9780521419857
      9780521429993
      DOI:
      https://doi.org/10.1017/CBO9781139172615
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.656kg, 340 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.545kg, 340 Pages
      • Subjects:
      Mathematics, Geometry and Topology
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    Subjects:
    Mathematics, Geometry and Topology
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    Book description

    The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors cast the theory into a new light, that of singularity theory. This second edition has been thoroughly revised throughout and includes a multitude of new exercises and examples. A new final chapter has been added which covers recently developed techniques in the classification of functions of several variables, a subject central to many applications of singularity theory. Also in this second edition are new sections on the Morse lemma and the classification of plane curve singularities. The only prerequisites for students to follow this textbook are a familiarity with linear algebra and advanced calculus. Thus it will be invaluable for anyone who would like an introduction to modern singularity theory.

    Reviews

    "This delightfully written book overflows with beautiful mathematics, requiring only linear algebra, multi-variable calculus, and a little mathematical sophistication." The American Mathematical Monthly

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