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 study papers on mathematical software program and algorithms. the typical thread is that the sector of mathematical functions lies at the border among algebra and geometry. themes comprise polyhedral geometry, removal concept, algebraic surfaces, GrÖ"obner bases, triangulations of aspect units and the mutual courting. This variety is followed via the abundance of accessible software program platforms which regularly deal with purely certain mathematical features. accordingly 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 conversation channels in addition to common frameworks for modular systems.

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9. RECOGNIZING INTEGER POLYHEDRA. . . . . . . . . . . . 10. DIAMETER. . . . . . . . . . . . . . . . . . . . . . . 11. MINIMUM TRIANGULATION. . . . . . . . . . . . . . . .. 12. VOLUME. . . . . . . . . . . . . . . . . . . . . . . . Combinatorial Structure. . . . . . . . . . . . . . . . . . . . 13. FACE LATTICE OF COMBINATORIAL POLYTOPES . . . . . . . 14. f- VECTOR OF COMBINATORIAL POLYTOPES.

Realizability. . . . . . . . . . . . . . . . . . . . . . . . . .. 29. STEINITZ PROBLEM. . . . . . . . . . . . . . . . . . . 30. SIMPLICIAL STEINITZ PROBLEM. . . . . . . . . . . . . .. Beyond Polytopes. . . . . . . . . . . . . . . . . . . . . . . 31. EULER CHARACTERISTIC. . . . . . . . . . . . . . . . .. 32. f- VECTOR OF SIMPLICIAL COMPLEXES. . . . . . . .

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

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