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Semimodular Lattices: Theory and Applications (Encyclopedia of Mathematics and its Applications)
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Semimodular Lattices: Theory and Applications (Encyclopedia of Mathematics and its Applications)Semimodular Lattices: Theory and Applications (Encyclopedia of Mathematics and its Applications)

Lattice theory evolved as part of algebra in the nineteenth century through the work of Boole, Peirce and Schröder, and in the first half of the twentieth century through the work of Dedekind, Birkhoff, Ore, von Neumann, Mac Lane, Wilcox, Dilworth, and others. In Semimodular Lattices, Manfred Stern uses successive generalizations of distributive and modular lattices to outline the development of semimodular lattices from Boolean algebras.
 
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Tags: through, Lattices, lattices, Applications, century, Applications, Semimodular, through
Matroid Applications (Encyclopedia of Mathematics and its Applications)
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Matroid Applications (Encyclopedia of Mathematics and its Applications)Matroid Applications (Encyclopedia of Mathematics and its Applications)This volume, the third in a sequence that began with The Theory of Matroids (1986) and Combinatorial Geometries (1987), concentrates on the applications of matroid theory to a variety of topics from geometry (rigidity and lattices), combinatorics (graphs, codes, and designs) and operations research (the greedy algorithm).

 
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Tags: Applications, codes, designs, graphs, operations, Matroid, Mathematics, Encyclopedia, lattices