References on Mathematical Surface

Differential Geometry on Surfaces

“A Modern Course on Curves and Surfaces”, by Richard S Palais, 2003, and other essays and writings by the 3DXM Consortium at: http://virtualmathmuseum.org/Surface/a/ref.html

Differential Geometry of Curves and Surfaces, by Matthias Weber, 2006: http://129.79.94.36/teaching/diffgeo/notes.dmg

Minimal Surfaces

[K2] H. Karcher, Construction of minimal surfaces, in “Surveys in Geometry”, Univ. of Tokyo, 1989, and Lecture Notes No. 12, SFB 256, Bonn, 1989, pp. 1–96.

For a discussion of techniques for creating minimal surfaces with various qualitative features by appropriate choices of Weierstrass data, see either [KWH], or pages 192–217 of [DHKW].

[KWH] H. Karcher, F. Wei, and D. Hoffman, The genus one helicoid, and the minimal surfaces that led to its discovery, in “Global Analysis in Modern Mathematics, A Symposium in Honor of Richard Palais’ Sixtieth Birthday”, K. Uhlenbeck Editor, Publish or Perish Press, 1993.

[DHKW] U. Dierkes, S. Hildebrand, A. Kuster, and O. Wohlrab, Minimal Surfaces I, Grundlehren der math. Wiss. v. 295 Springer-Verlag, 1991.

Plane Curves

For plane curves and geometry, see: http://xahlee.org/SpecialPlaneCurves_dir/Intro_dir/references.html

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© 2004 by Xah Lee.
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