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Combinatorial analysis --- Congresses --- Analyse combinatoire --- Discrete mathematics --- Congrès --- Codage --- Combinatorial analysis - Congresses --- Geometrie combinatoire --- Geometrie --- Geometrie finie
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Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added many more, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over moe then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalled, authoritative coverage of theory, methods, and applications. Highlights of the second edition include thirteen new chapters, thorough revisions of all remaining chapters, extended coverage of computational geometry software, author and subject indices, and greatly expanded bibliographies.
Geometry --- Combinatorial geometry --- Data processing --- Géométrie combinatoire --- Géométrie --- Handbooks, manuals, etc. --- Guides, manuels, etc. --- Informatique --- Géométrie combinatoire --- Géométrie
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Combinatorial geometry --- Group theory --- Géométrie combinatoire --- Groupes, Théorie des --- Combinatorial geometry. --- Group theory. --- Théorie des groupes --- Géométrie combinatoire --- Théorie des groupes
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Géométrie combinatoire --- Polytopes --- Projection (géométrie) --- Résolution de problème --- Géométrie combinatoire --- Projection (géométrie) --- Résolution de problème
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Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensive treatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems (e.g., counting the number of triangulations or finding optimal triangulations with respect to various criteria), and to establish connections to applications in algebra, computer science, combinatorics, and optimization. With many examples and exercises, and with nearly five hundred illustrations, the book gently guides readers through the properties of the spaces of triangulations of "structured" (e.g., cubes, cyclic polytopes, lattice polytopes) and "pathological" (e.g., disconnected spaces of triangulations) situations using only elementary principles.
Triangularization (Mathematics) --- Combinatorial geometry. --- Geometry --- Triangularisation (Mathématiques) --- Géométrie combinatoire --- Géométrie --- Data processing. --- Informatique --- Triangularisation (Mathématiques) --- Géométrie combinatoire --- Géométrie --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B
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Discrete mathematics --- Probability theory --- Polytopes --- Polytopes. --- 514.17 --- 514.17 Convex sets. Geometric figure arrangements. Geometric inequalities --- Convex sets. Geometric figure arrangements. Geometric inequalities --- Hyperspace --- Topology --- Geometry --- Convex polytopes --- Géométrie --- Polytopes convexes --- Convex geometry --- Polyhedra --- Géométrie convexe --- Polyèdres --- Géometrie combinatoire
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Geometry --- Geometry, Algebraic --- Combinatorial geometry --- Geometry, Projective --- Geometry, Algebraic. --- Combinatorial geometry. --- Geometry. --- Geometry, Projective. --- Projective geometry --- Geometry, Modern --- Mathematics --- Euclid's Elements --- Geometric combinatorics --- Geometrical combinatorics --- Combinatorial analysis --- Discrete geometry --- Algebraic geometry --- Géométrie --- Géométrie algébrique --- Géométrie combinatoire --- Géométrie projective
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Computer science --- Geometry --- Discrete mathematics --- Combinatorial geometry --- Handbooks, manuals, etc. --- Data processing --- Géométrie combinatoire --- Géométrie --- Guides, manuels, etc. --- Informatique --- Géométrie combinatoire --- Géométrie --- Discrete geometry. --- Géométrie discrète. --- Guides pratiques. --- Géométrie algorithmique --- Géométrie algorithmique --- Géométrie discrète.
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Number theory --- Partitions (Mathematics) --- Pavage et remplissage (Géométrie combinatoire) --- Théorie des nombres --- Number Theory --- 51 <031> --- 519.1 --- 511 --- Number study --- Numbers, Theory of --- Algebra --- Mathematics--Encyclopedieën. Lexica --- Combinatorics. Graph theory --- Number theory. --- Partitions (Mathematics). --- 511 Number theory --- 519.1 Combinatorics. Graph theory --- 51 <031> Mathematics--Encyclopedieën. Lexica --- Pavage et remplissage (Géométrie combinatoire) --- Théorie des nombres --- Analyse combinatoire
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Combinatorial geometry --- Geometry --- Géométrie combinatoire --- Géométrie --- Data processing --- Informatique --- Combinatorial geometry. --- Data processing. --- Basic Sciences. Mathematics --- Geometry, Topology --- Geometry, Topology. --- Géométrie combinatoire --- Géométrie --- 681.3*F22 --- 681.3*G21 --- Nonnumerical algorithms and problems: complexity of proof procedures; computations on discrete structures; geometrical problems and computations; pattern matching --See also {?681.3*E2-5}; {681.3*G2}; {?681.3*H2-3} --- Combinatorics: combinatorial algorithms; counting problems; generating functions; permutations and combinations; recurrences and difference equations --- 681.3*G21 Combinatorics: combinatorial algorithms; counting problems; generating functions; permutations and combinations; recurrences and difference equations --- 681.3*F22 Nonnumerical algorithms and problems: complexity of proof procedures; computations on discrete structures; geometrical problems and computations; pattern matching --See also {?681.3*E2-5}; {681.3*G2}; {?681.3*H2-3} --- Computer science --- Discrete mathematics --- 519.1 --- 519.1 Combinatorics. Graph theory --- Combinatorics. Graph theory --- Géométrie algorithmique --- Géometrie combinatoire --- Geometry - Data processing
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