General introduction -- Continuous-time dynamical systems -- Discrete-time dynamical systems -- Game theory and evolution -- Markov chains and diffusions -- Random arborescent models -- Statistics.Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panor…
Fundamentals -- Overview of Meshfree Methods -- Meshfree Shape Function Construction -- Meshfree Methods Based on Global Weak-Forms -- Meshfree Methods Based on Local Weak-Forms -- Meshfree Collocation Methods -- Meshfree Methods Based on Combination of Local Weak-Form and Collocation.This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very…
Seismic Interpretation -- to Seismic Texture -- Atlas of 3D Seismic Attributes -- The Use of Structure Tensors in the Analysis of Seismic Data -- Automated Structural Interpretation Through Classification of Seismic Horizons -- Automatic Fault Extraction Using Artificial Ants -- Geological Model Building -- Geological Modelling and Reservoir Simulation -- Geological Model Building: A Hierarchic…
Cultura matematica, formazione e media -- La preparazione matematica delle matricole nelle università europee: risultati di un test -- Metodi statistici per la misurazione delle competenze: analisi della preparazione matematica delle matricole -- Matematica e media: strumenti, aspettative, risultati -- I problemi della matematica nel Regno Unito -- Metamorph da Escher all’architettura virtua…
Setting the Stage -- Linear Algebra over the Complex Numbers -- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces) -- Lie Groups and Lie Group Representations -- New Representations from Old -- Irreducible Representations and Invariant Integration -- Representations and the Hydrogen Atom -- The Algebra so(4) Symmetry of the Hydrogen Atom -- The Group SO(4) Symmetry of the Hydrogen Atom -- Pr…
Plane Algebraic Curves -- Ane Algebraic Curves -- Projective Algebraic Curves -- The Coordinate Ring of an Algebraic Curve and the Intersections of Two Curves -- Rational Functions on Algebraic Curves -- Intersection Multiplicity and Intersection Cycle of Two Curves -- Regular and Singular Points of Algebraic Curves. Tangents -- More on Intersection Theory. Applications -- Rational Maps. Parame…
The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine.This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic proces…
Stochastic Methods in Statistical Physics -- Coarse-Graining Techniques for (Random) Kac Models -- Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and a Priori Estimates -- Some Jump Processes in Quantum Field Theory -- Gibbs Measures on Brownian Paths: Theory and Applications -- Spectral Theory for Nonstationary Random Potentials -- A Survey of Rigorous Results on Random Sc…
Physics -- Chain Conformations and Phase Behavior in Confined Polymer Blends -- Thermal Quark Anti-quark Free Energies, Energies and Screening in Hot SU(3) Gauge Theory -- Simulations of Particle Suspensions at the Institut für Computerphysik -- Numerical Modelling of Convection and Dynamo Processes in Fully Convective Stars -- Large Scale Simulation of a Cooled, Pulsed Jet in Symbiotic Stars …
Fluid Dynamics -- BESTWIHR: Testing of a Closure Assumption for Fully Developed Turbulent Channel Flow with the Aid of a Lattice Boltzmann Simulation -- DiSiVGT: Validation of a novel turbulence model using direct numerical simulation -- FlowNoise: Flow Induced Noise Computation on Hitachi SR8000-F1 -- FLUSIB: Fully Three-Dimensional Coupling of Fluid and Thin-Walled Structures -- ParChem: Effi…