Download Algebra, Geometry and Software Systems by Michael Joswig (auth.), Michael Joswig, Nobuki Takayama PDF

By Michael Joswig (auth.), Michael Joswig, Nobuki Takayama (eds.)

The publication includes surveys and examine papers on mathematical software program and algorithms. the typical thread is that the sphere of mathematical functions lies at the border among algebra and geometry. themes comprise polyhedral geometry, removing conception, algebraic surfaces, GrÖ"obner bases, triangulations of aspect units and the mutual dating. This range is observed by way of the abundance of accessible software program structures which frequently deal with simply unique mathematical elements. as a result the volumes different concentration is on options in the direction of the combination of mathematical software program platforms. This comprises low-level and XML dependent high-level communique channels in addition to basic frameworks for modular systems.

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29. STEINITZ PROBLEM. . . . . . . . . . . . . . . . . . . 30. SIMPLICIAL STEINITZ PROBLEM. . . . . . . . . . . . . .. Beyond Polytopes. . . . . . . . . . . . . . . . . . . . . . . 31. EULER CHARACTERISTIC. . . . . . . . . . . . . . . . .. 32. f- VECTOR OF SIMPLICIAL COMPLEXES. . . . . . . . . . 33. HOMOLOGY. . . . . . . . . . . . . . . . . . . . . . .. 34. SHELLABILITY.

Springer, 2003. 2nd edition edited by V. Kaibel, V. M. Ziegler. 21. M. Haiman. A simple and relatively efficient triangulation of the n-cube. Discrete Comput. , 6(4):287-289, 1991. 22. M. Joswig and G. M. Ziegler. Convex hulls, oracles, and homology. MG/0301100. 23. V. Kaibel and M. E. Pfetsch. Some algorithmic problems in polytope theory. In this volume, pages 23-47. Algorithmic Solution Software GmbH, http://www . 24. 3. htm1. 25. C. W. Lee. Subdivisions and triangulations of polytopes. In J.

33. HOMOLOGY. . . . . . . . . . . . . . . . . . . . . . .. 34. SHELLABILITY. . . . . . . . . . . . . . . . . . . . . .. 35. PARTITIONABILITY. . . . . . . . . . . . . . . . . . . .. 26 26 27 27 28 28 28 29 29 30 30 30 31 31 32 32 33 33 34 34 35 35 36 36 36 37 37 37 38 38 38 39 39 39 40 40 41 41 42 43 43 Some Algorithmic Problems in Polytope Theory 45 References 1. D. Avis, D. Bremner, and R. Seidel. How good are convex hull algorithms?

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