No coin nor oath required. For personal study only.
The mathematical objects discussed include univariate and multivariate splines, algebraic curves, rational curves and surfaces, Bezier curves and surfaces, and finite elements. The topics treated include scattered data interpolation, geometry processing, convexity and shape preservation, subdivision, knot insertion and removal, knot selection for parametric curves, geometric continuity, and cardinal interpolation. An index would have been helpful. (WPA) J. Nielsen (ea.), Coordinating User Interfaces for Consistency. Academic Press, Boston, 1989. 142 pp., US $24.95, ISBN 0-12-518400-X.
Consistency is considered one of the most desirable attributes of user interfaces. This book is a collection of 12 papers describing how to work for consistency. The volume is divided into three parts. The first is an overview chapter by the Editor. The second is conceptual and contains papers on the dimensions of consistency and the economic cost/benefit implications of consistency. The third part provides case studies from several major companies which have instituted active programs to ensure consistency of their products and third-party products to run on their computers. (WPA) D.R. Kincaid and L.J. Hayes (eds.), Iterative Methods for Large Linear Systems. Academic Press, Boston, 1990. 319 pp., US $49.95, ISBN O-12-407475-8.
A conference of the title was held in 1988 honoring David M. Young, Jr. This volume contains 17 papers delivered at that conference. Many research advances on the development of iterative methods for high-speed computers over the past forty years were discussed with the current research as the primary focus. Examples include searching for optimum parameters in SOR, using hierarchical basis preconditioners, utilizing software as a research tool, and developing algorithms for vector and parallel computers. Current research on a variety of different iterative algorithms is presented including the successive overrelaxation (SOR) method, the symmetric and unsymmetric SOR methods, a local (ad hoc) SOR scheme, the alternating direction method (ADI), block iterative methods, asynchronous iterative procedures, multilevel methods, adaptive algorithms, and domain decomposition methods. There is a detailed index. (WPA) M. Ronan, Lectures on Buildings. Academic Press, Boston, 1989. 201 pp., US $27.95, ISBN-O-12-594750-x.
This volume is number 7 in Perspectives in Mathematics. The origin of the notions of "buildings", a term introduced by Bourbaki, lies in an attempt to give a systematic procedure to geometrically interpret semisimple Lie groups and, in particular, the exceptional groups. The book presents an up-to-date account of the theory, including chamber systems developed by Tits
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