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Analytical topology --- Metric spaces --- Metric spaces. --- Topologie generale --- Espaces metriques
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Algèbre linéaire --- Algebras, Linear --- Algèbre linéaire --- Algebras, Linear. --- Matrices --- Topologie generale --- Espaces metriques
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Analytical topology --- Topology. --- Topology --- Topologie --- Topologie generale --- Espaces topologiques --- Espaces metriques
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Metric spaces. --- Algebraic topology. --- Espaces métriques --- Topologie algébrique --- Metric spaces --- Algebraic topology --- Espaces métriques --- Topologie algébrique
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Metric spaces. --- Espaces métriques --- Metric spaces --- 514.1 --- General geometry --- 514.1 General geometry --- Espaces métriques --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology
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Probabilities --- Measure theory --- Metric spaces --- Convergence --- Probabilités --- Mesure, Théorie de la --- Espaces métriques --- Convergence (Mathématiques) --- Probability measures --- 519.214 --- 519.2 --- Measures, Normalized --- Measures, Probability --- Normalized measures --- Distribution (Probability theory) --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology --- Functions --- Limit theorems --- Probability measures. --- Metric spaces. --- Convergence. --- 519.214 Limit theorems --- Probabilités --- Mesure, Théorie de la --- Espaces métriques --- Convergence (Mathématiques)
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Metric spaces --- Espaces métriques --- 517.982 --- #TCPW:boek --- 519.6 --- 681.3*G15 --- 681.3*G17 --- Linear spaces with topology and order or other structures --- Computational mathematics. Numerical analysis. Computer programming --- Roots of nonlinear equations: convergence; error analysis; iterative methods;polynomials (Numerical analysis) --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Metric spaces. --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3*G15 Roots of nonlinear equations: convergence; error analysis; iterative methods;polynomials (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.982 Linear spaces with topology and order or other structures --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology --- Espaces métriques.
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Functional analysis --- Topology --- Metric spaces --- Game theory --- Mathematical optimization --- 517.98 --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Spaces, Metric --- Generalized spaces --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Functional analysis and operator theory --- Topology. --- Metric spaces. --- Game theory. --- Mathematical optimization. --- 517.98 Functional analysis and operator theory --- Topologie generale --- Espaces metriques
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Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, distance geometry, combinatorial matrix theory, statistical physics, VLSI design etc. A main feature of this book is its interdisciplinarity. The book contains a wealth of results, from different mathematical disciplines, which are presented here in a unified and comprehensive manner. Geometric representations and methods turn out to be the linking theme. This book will provide a unique and invaluable source for researchers and graduate students. From the Reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the interdisciplinarity of these fields as it gathers methods and results from polytope theory, geometry of numbers, probability theory, design and graph theory around two objects, cuts and metrics. [… ] The book is very nicely written [… ] The book is also very well structured. With knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [… ] In my opinion, the book is a beautiful piece of work. The longer one works with it, the more beautiful it becomes." Robert Weismantel, Optima 56 (1997) "… In short, this is a very interesting book which is nice to have." Alexander I. Barvinok, MR 1460488 (98g:52001) "… This is a large and fascinating book. As befits a book which contains material relevant to so many areas of mathematics (and related disciplines such as statistics, physics, computing science, and economics), it is self-contained and written in a readable style. Moreover, the index, bibliography, and table of contents are all that they should be in such a work; it is easy to find as much or as little introductory material as needed." R.Dawson, Zentralblatt MATH Database 0885.52001.
Discrete mathematics --- Graph theory --- Metric spaces --- Embeddings (Mathematics) --- Théorie des graphes --- Espaces métriques --- Plongements (Mathématiques) --- Graph theory. --- Metric spaces. --- Embeddings (Mathematics). --- Théorie des graphes --- Espaces métriques --- Plongements (Mathématiques) --- Discrete mathematics. --- Geometry. --- Combinatorics. --- Convex geometry . --- Discrete geometry. --- Number theory. --- Discrete Mathematics. --- Graph Theory. --- Convex and Discrete Geometry. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Geometry --- Combinatorial geometry --- Combinatorics --- Mathematical analysis --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Mathematics --- Euclid's Elements --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Extremal problems
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The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov .
Espaces métriques --- Geometry [Differential ] --- Géométrie différentielle --- Meetkunde [Differentiaal] --- Metric spaces --- Ruimten [Metrische ] --- Geometry, Differential --- 514.764.2 --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology --- Differential geometry --- Riemannian and pseudo-Riemannian spaces --- Geometry, Differential. --- Metric spaces. --- 514.764.2 Riemannian and pseudo-Riemannian spaces --- Geometric group theory --- Groupes, Théorie géométrique des --- Topology. --- Manifolds (Mathematics). --- Complex manifolds. --- Group theory. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Analytic spaces --- Manifolds (Mathematics) --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Algebras, Linear --- Groupes, Théorie géométrique des. --- Géometrie différentielle globale --- Géometrie différentielle globale --- Topologie differentielle --- Groupes, Théorie géométrique des.
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