Description

Book Synopsis
Features plane curves to illustrate many deep and inspiring results in the field in an elementary and accessible way. After an introduction to the basic properties of plane curves, the authors introduce a number of complex and beautiful topics, including the rotation number, rotation index, Jordan curve theorem, and isoperimetric inequality.

Table of Contents
  • Plane curves
  • Winding number
  • Rotation index
  • Jordan curve theorem
  • Isoperimetric inequality
  • Convex curves
  • The four-vertex theorem
  • Curve-shortening flow
  • Appendix A: The class $\mathcal{C}^\infty$ convergence of the curvature function under the curve-shortening flow
  • Appendix B: Answers to selected exercises
  • Bibliography
  • Index

Differential Geometry of Plane Curves

    Product form

    £46.80

    Includes FREE delivery

    RRP £52.00 – you save £5.20 (10%)

    Order before 4pm today for delivery by Sat 18 Jul 2026.

    A Paperback / softback by Hilario Alencar, Walcy Santos, Gregorio Silva Neto

    1 in stock

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of Differential Geometry of Plane Curves by Hilario Alencar

      Publisher: American Mathematical Society
      Publication Date: 30/07/2022
      ISBN13: 9781470469597, 978-1470469597
      ISBN10: 1470469596
      Also in:
      Topology

      Description

      Book Synopsis
      Features plane curves to illustrate many deep and inspiring results in the field in an elementary and accessible way. After an introduction to the basic properties of plane curves, the authors introduce a number of complex and beautiful topics, including the rotation number, rotation index, Jordan curve theorem, and isoperimetric inequality.

      Table of Contents
      • Plane curves
      • Winding number
      • Rotation index
      • Jordan curve theorem
      • Isoperimetric inequality
      • Convex curves
      • The four-vertex theorem
      • Curve-shortening flow
      • Appendix A: The class $\mathcal{C}^\infty$ convergence of the curvature function under the curve-shortening flow
      • Appendix B: Answers to selected exercises
      • Bibliography
      • Index

      Recently viewed products

      © 2026 Book Curl

        • American Express
        • Apple Pay
        • Diners Club
        • Discover
        • Google Pay
        • Maestro
        • Mastercard
        • PayPal
        • Shop Pay
        • Union Pay
        • Visa

        Login

        Forgot your password?

        Don't have an account yet?
        Create account