Plane curves of the third order /

Includes bibliographical references and index.

Constructive geometry of plane curves, with numerous examples,

Mode of access: Internet.

The elementary differential geometry of plane curves,

Mode of access: Internet.

An elementary treatise on cubic and quartic curves,

Mode of access: Internet.

A FORTRAN-90 low-energy electron diffraction program (LEED90 v1.1)

We describe a FORTRAN-90 program to compute low-energy electron diffraction I(V) curves. Plane-waves and layer doubling are used to compute the inter-layer multiple-scattering, while the intra-layer multiple-scattering is computed in the standard way expanding the wavefield on a basis of spherical waves. The program is kept as general as possible, in order to allow testing different parts of multiple-scattering calculations. In particular, it can handle non-diagonal t-matrices describing the scattering of non-spherical potentials, anisotropic vibrations, anharmonicity, etc. The program does not use old FORTRAN flavours, and has been written keeping in mind the advantage for parallelism brought forward by FORTRAN-90.

The mathematical works of Isaac Barrow ... /

Includes reprints of the original title pages, dated 1683, 1669, and 1670 respectively.

Analyse infinitésimale des courbes planes, contenant la résolution d'un grand nombre de problèmes choisis, à l'usage des candidats à la licence ès sciences,

Available on demand as hard copy or computer file from Cornell University Library.

Bibliographie der höheren algebraischen kurven für den zeitabschnitt von 1890-1904,

Available on demand as hard copy or computer file from Cornell University Library.

Teoria geometrica di alcuni sistemi lineari triplamente infiniti di curve piane.

Mode of access: Internet.

Die ebenen Curven dritter Ordnung; eine Zusammenstellung ihrer bekannteren Eigenschaften.

Available on demand as hard copy or computer file from Cornell University Library.

Einleitung in eine geometrische Theorie der ebenen Curven;

Available on demand as hard copy or computer file from Cornell University Library.

A short treatise on the principles of the differential and integral calculus.

With an appendix containing some alterations in the author's "Principles of the algebraic theory of curves."

A treatise on geometry and its application in the arts.

Added t.-p., engr.

Cours d'analyse de l'École polytechnique /

1. t. Calcul différentiel: Variables réelles. Variables complexes. Séries. Applications géométriques de la série de Taylor. Courbes planes algébriques.--2. t. Calcul intégral: Intégrales indéfinies. Intégrales définies. Des fonctions représentées par des intégrales définies. Potentiels newtoniens. Séries de Fourier. Intégrales complexes. Fonctions elliptiques. Intégrales abéliennes.--3. t. Équations différentielles ordinaires. Équations linéaires. Équations aux dérivées partielles. Calcul des variations. Potentiels newtoniens.

A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area

Motivated by a problem from fluid mechanics, we consider a generalization of the standard curve shortening flow problem for a closed embedded plane curve such that the area enclosed by the curve is forced to decrease at a prescribed rate. Using formal asymptotic and numerical techniques, we derive possible extinction shapes as the curve contracts to a point, dependent on the rate of decreasing area; we find there is a wider class of extinction shapes than for standard curve shortening, for which initially simple closed curves are always asymptotically circular. We also provide numerical evidence that self-intersection is possible for non-convex initial conditions, distinguishing between pinch-off and coalescence of the curve interior.