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ISBN: 2894611765 9782894611760 Year: 1998 Publisher: Montréal: Chenelière/McGraw-Hill,
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Computer science --- Mathematics --- Logic, symbolic and mathematical --- Informatique --- Mathématiques --- Algorithmes --- Analyse combinatoire --- Boole, Algèbre de --- Graphes, Théorie des --- Computer science - Mathematics
ISBN: 285629068X Year: 1998 Publisher: Paris : Société mathématique de France,
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Finite element method. --- Graph theory. --- Markov processes. --- Schrödinger equation. --- Singular perturbations (Mathematics) --- Spectral theory (Mathematics) --- Singular perturbations (Mathematics). --- Spectral theory (Mathematics). --- Graphes, Théorie des --- Graphes, Théorie des --- Theorie spectrale
ISBN: 9780387984889 0387984887 0387984917 3540984887 1461206197 Year: 1998 Volume: 184 Publisher: New York: Springer,
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The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of graph theory, written with such a student in mind; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory -- An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many exciting new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory such as coloring, matching, extremal theory, and algebraic graph theory, the book presents a detailed account of newer topics, including Szemer'edi's Regularity Lemma and its use, Shelah's extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. In no other branch of mathematics is it as vital to tackle and solve challenging exercises in order to master the subject. To this end, the book contains an unusually large number of well thought-out exercises: over 600 in total. Although some are straightforward, most of them are substantial, and others will stretch even the most able reader.
Graph theory. --- 519.1 --- 519.1 Combinatorics. Graph theory --- Combinatorics. Graph theory --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Extremal problems --- Combinatorics. --- Mathematics of Computing. --- Discrete mathematics --- Théorie des graphes --- Computer science—Mathematics. --- Algorithms. --- Algorithm Analysis and Problem Complexity. --- Algorism --- Algebra --- Arithmetic --- Combinatorics --- Mathematical analysis --- Foundations --- Graphes, Théorie des
ISBN: 9780198504511 0198504519 Year: 1998 Publisher: Oxford : Clarendon press,
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Symplectic manifolds. --- Topology. --- Variétés symplectiques --- Topologie --- Varietes symplectiques. --- Topologie. --- 515.16 --- 515.16 Topology of manifolds --- Topology of manifolds --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Manifolds, Symplectic --- Geometry, Differential --- Manifolds (Mathematics) --- Differential geometry --- Differential topology --- Differential geometry. Global analysis --- Chimie topologique --- Algèbre linéaire --- Coloriage --- Géométrie algébrique --- Fonctions invexes --- Analyse ultramétrique --- Anneaux topologiques --- Applications (mathématiques) --- Atiyah-Singer, Théorème d' --- Banach, Espaces de --- Catégories (mathématiques) --- Coincidence, Théorie de la (mathématiques) --- Compactifications --- Dimension, Théorie de la (topologie) --- Dualité, Principe de (mathématiques) --- Dynamique topologique --- Ensembles amas, Théorie des --- Ensembles boréliens --- Espaces de proximité --- Espaces localement compacts --- Espaces métriques --- Espaces topologiques --- Espaces uniformes --- Espaces vectoriels topologiques --- Forme, Théorie de la (topologie) --- Graphes, Théorie des --- Graphes topologiques, Théorie des --- Groupes topologiques --- Hewitt-Nachbin, Espaces de --- Homotopie --- Isométrie (mathématiques) --- Jeux de stratégie (mathématiques) --- Plongements (mathématiques) --- Plongements topologiques --- Point fixe, Théorème du --- Polytopes --- Relèvement (mathématiques) --- Réseaux (mathématiques) --- Rétractes, Théorie des --- Semigroupes topologiques --- Simplexes (mathématiques) --- Topologie algébrique --- Topologie combinatoire --- Topologie de l'espace métrique --- Topologie différentielle --- Topologie ensembliste --- Transformations, Groupes de --- Treillis, Théorie des --- Variétés (mathématiques) --- Variétés topologiques --- Topologie linéaire par morceaux --- Théorie des ensembles --- Géométrie --- Polyèdres --- Géométrie symplectique --- Géométrie différentielle --- mathématiques --- Symplectic manifolds --- Topology --- Varietes symplectiques --- Géometrie différentielle globale --- Géometrie symplectique
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