Curves and surfaces
by Babbitt, Donald G., Montiel, Sebastián, Ros, A., (Antonio)
fromGraduate studies in mathematics
This textbook presents an introduction to the differential geometry of curves and surfaces. This second, revised edition has been expanded to include solutions and applications in cartography. Topics include Euclidean geometry, curve theory, surface theory, curvature concepts, m…
The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use.
The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use.
A history of technology
by Hall, A. R., Raper, Richard, Williams, Trevor I., Singer, Charles, Holmyard, E. J.
In this paper, we study the behavior at infinity of t̄ via the theory of mixed Hodge structures, especially the limit Hodge structures of Schmid and Steenbrink, extending investigations of Carlson, Cattani, and Kaplan.
The classical problem of Plateau is studied from the point of view of global nonlinear analysis. It is shown that minimal surfaces of the topological type of the two disc arise as the zeros of a Fredholm vector field on an infinite dimensional manifold. A framework is developed …
The embeddability and structure of all locally compact one-to-one continuous metric (equivalently, Hausdorff) images of the real line are studied. The structure of such spaces is utilized to obtain, for example, necessary and sufficient conditions that they be embeddable in the …