Algebra, Geometry and Software Systems
By: edited by Michael Joswig, Nobuki Takayama
Contributors: Takayama, Nobuki
Publisher: Springer Berlin Heidelberg
Published: 2003
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 331
ISBN-13: 9783642055393; 9783662051481
Subjects: Data processing; Software engineering; Algebra; Geometry; Mathematics; Computer software
Description: The book contains surveys and research papers on mathematical software and algorithms. The common thread is that the field of mathematical applications lies on the border between algebra and geometry. Topics include polyhedral geometry, elimination theory, algebraic surfaces, GrÖ"obner bases, triangulations of point sets and the mutual relationship. This diversity is accompanied by the abundance of available software systems which often handle only special mathematical aspects. Therefore the volumes other focus is on solutions towards the integration of mathematical software systems. This includes low-level and XML based high-level communication channels as well as general frameworks for modular systems.
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Table of contents: title: M. Joswig: Beneath-and-beyond revisited; title: V. Kaibel, M.E. Pfetsch: Some algorithmic problems in polytope theory; title: J. Pfeifle, J. Rambau: Computing triangulations using oriented matroids; title: I. Emiris: Discrete geometry for algebraic elimination; title: C. D'Andrea, I. Emiris: Sparse resultant perturbations; title: A.J. Sommese, J. Verschelde, Ch.W. Wampler: Numerical irreducible decomposition using PHCpack; title: N. Takayama: Generating Kummer type formulas for hypergeometric functions; title: M. Noro: A computer algebra system Risa/Asir; title: H. Schönemann: Singular in a framework for polynomial computations; title: J.-G. Dumas, F. Heckenbach, D. Saunders, V. Welker: Computing simplicial homology based on efficient Smith normal form algorithms; title: J.H. Davenport: The geometry of Cn is important for the algebra of elementary functions; title: D. van Straten, O. Labs: A visual introduction to cubic surfaces using the computer software Spicy; title: R. Morris: A client-server system for the visualization of algebraic surfaces on the Web; title: S.P. Dugaro, K. Polthier: Visualizing Maple plots with JavaViewLib; title: D. Wang: Automated generation of diagrams with Maple and Java; title: A.M. Cohen, H.Cuypers, E.R. Barreiro, H. Sterk: Interactive mathematical documents on the Web; title: A. Solomon: Distributed computing for conglomerate mathematical systems.