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Core-shell, colloids, poly(ethylene glycol) (PEG), small-angle neutron scattering (SANS), dynamic light scattering (DLS), rheology, glass transition, flocculation, aggregation, depletion. --- Colloids.

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Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Implementation and Algorithms, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

Computer graphics. --- Geometry --- Mathematical models. --- CAD/CAM systems. --- Data processing. --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Digital techniques --- Computer Aided Design/Computer Aided Manufacturing Systems --- Computer Aided Manufacturing Systems --- Computer-aided engineering --- Computer integrated manufacturing systems --- Production engineering --- Production management --- Automation --- Models, Mathematical --- Simulation methods --- Data processing --- Computer simulation. --- Computer vision. --- Algebra --- Geometry, algebraic. --- Cell aggregation --- Simulation and Modeling. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Computer Graphics. --- Symbolic and Algebraic Manipulation. --- Algebraic Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Mathematics. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Model-integrated computing --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Algebraic geometry --- Optical data processing. --- Computer science—Mathematics. --- Algebraic geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment --- Geometry, Algebraic.

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This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently.

Quantum field theory. --- Topology. --- Théorie quantique des champs --- Topologie --- Physics. --- Global differential geometry. --- Cell aggregation --- Mathematical physics. --- Quantum theory. --- Mathematical Methods in Physics. --- Physics beyond the Standard Model. --- Elementary Particles, Quantum Field Theory. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Differential Geometry. --- Quantum field theory --- Topology --- Physics - General --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Mathematics. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Relativistic quantum field theory --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physical mathematics --- Aggregation, Cell --- Cell patterning --- Natural philosophy --- Philosophy, Natural --- Mathematics --- Differential geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- String theory. --- Elementary particles (Physics). --- Quantum Field Theories, String Theory. --- Geometry, Differential --- Cell interaction --- Microbial aggregation --- Mechanics --- Thermodynamics --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Physical sciences --- Dynamics --- Differential geometry --- Analytic spaces --- Manifolds (Mathematics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Models, String --- String theory --- Nuclear reactions --- String models. --- Particles (Nuclear physics) --- Geometry, Differential.

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Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion. Computer Graphics and Geometric Modelling: Mathematics, contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume. This volume begins with material from linear algebra and a discussion of the transformations in affine & projective geometry, followed by topics from advanced calculus & chapters on general topology, combinatorial topology, algebraic topology, differential topology, differential geometry, and finally algebraic geometry. Two important goals throughout were to explain the material thoroughly, and to make it self-contained. This volume by itself would make a good mathematics reference book, in particular for practitioners in the field of geometric modelling. Due to its broad coverage and emphasis on explanation it could be used as a text for introductory mathematics courses on some of the covered topics, such as topology (general, combinatorial, algebraic, and differential) and geometry (differential & algebraic).

Computer graphics. --- Geometry --- Mathematical models. --- Computer-aided design. --- Computer graphics --- Infographie --- Géométrie --- Modèles mathématiques --- Conception assistée par ordinateur --- Data processing. --- Mathematics. --- Informatique --- Mathématiques --- CAD/CAM systems. --- Geometry -- Data processing. --- Applied Physics --- Electrical Engineering --- Technology - General --- Electrical & Computer Engineering --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- 681.3*I3 --- Computer graphics (Computing methodologies) --- 681.3*I3 Computer graphics (Computing methodologies) --- Computer Aided Design/Computer Aided Manufacturing Systems --- Computer Aided Manufacturing Systems --- Models, Mathematical --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer science. --- Computer science --- Computer simulation. --- Algebraic geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Computer Science. --- Simulation and Modeling. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Computer Graphics. --- Symbolic and Algebraic Manipulation. --- Algebraic Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Digital techniques --- Computer-aided engineering --- Computer integrated manufacturing systems --- Production engineering --- Production management --- Automation --- Simulation methods --- Data processing --- Computer vision. --- Algebra --- Geometry, algebraic. --- Cell aggregation --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Model-integrated computing --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Algebraic geometry --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Optical data processing. --- Computer science—Mathematics. --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment --- Geometry, Algebraic.

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By bringing together various ideas and methods for extracting the slow manifolds the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.

Invariant manifolds. --- Differential equations, Partial --- Nonequilibrium statistical mechanics. --- Chemical kinetics. --- Mathematical physics. --- Variétés invariantes --- Equations aux dérivées partielles --- Mécanique statistique hors d'équilibre --- Cinétique chimique --- Physique mathématique --- Numerical solutions. --- Solutions numériques --- Physics. --- Chemistry, Physical organic. --- Cell aggregation --- Quantum computing. --- Statistical physics. --- Thermodynamics. --- Mathematical Methods in Physics. --- Quantum Computing, Information and Physics. --- Physical Chemistry. --- Statistical Physics. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Invariant manifolds --- Nonequilibrium statistical mechanics --- Chemical kinetics --- Mathematical physics --- Physics - General --- Geometry --- Mathematics --- Physics --- Physical Sciences & Mathematics --- Mathematics. --- Numerical solutions --- Computation, Quantum --- Computing, Quantum --- Information processing, Quantum --- Quantum computation --- Quantum information processing --- Physical mathematics --- Chemical reaction, Kinetics of --- Chemical reaction, Rate of --- Chemical reaction, Velocity of --- Chemical reaction rate --- Chemical reaction velocity --- Kinetics, Chemical --- Rate of chemical reaction --- Reaction rate (Chemistry) --- Velocity of chemical reaction --- Non-equilibrium statistical mechanics --- Partial differential equations --- Aggregation, Cell --- Cell patterning --- Chemistry, Physical organic --- Natural philosophy --- Philosophy, Natural --- Statistical methods --- Physical chemistry. --- Quantum physics. --- Quantum computers. --- Spintronics. --- Dynamical systems. --- Quantum Physics. --- Quantum Information Technology, Spintronics. --- Statistical Physics, Dynamical Systems and Complexity. --- Quantum theory. --- Complex Systems. --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat --- Heat-engines --- Quantum theory --- Chemistry, Organic --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Thermodynamics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics --- Mathematical statistics --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Fluxtronics --- Magnetoelectronics --- Spin electronics --- Spinelectronics --- Microelectronics --- Nanotechnology --- Computers --- Physical sciences --- Chemistry, Physical and theoretical. --- Dynamics.