Toward an Interdisciplinary Methodology -- Stochastic Modelling -- Black Death: The Background -- Mathematical Formulation of the Knowledge Bases -- Spatiotemporal Mapping of the Epidemic -- Epea Pteroenta.If you want to achieve something, if you want to write a book, paint a picture, be sure the center of your existence is somewhere else and that it’s solidly grounded; only then will you be …
Fundamentals -- Strongly Nonlinear Fokker-Planck Equations -- Free Energy Fokker-Planck Equations -- Free Energy Fokker-Planck Equations with Boltzmann Statistics -- Entropy Fokker-Planck Equations -- General Nonlinear Fokker-Planck Equations -- Epilogue.Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stat…
Space Plasmas -- Nonequilibrium Phenomena in the Magnetosphere -- Complexity and Intermittent Turbulence in Space Plasmas -- Complexity and Topological Disorder in the Earth's Magnetotail Dynamics -- Simulation Study of SOC Dynamics in Driven Current-Sheet Models -- Two State Transition Model of the Magnetosphere -- Global and Multiscale Phenomena of the Magnetosphere -- Low Frequency Magnetic …
Differential Mathematical Models -- Integrable Differential Equations -- Dynamic Model of Systems with Heat Generation -- Stiff Differential Equations -- Heat Transfer near the Stagnation Point at Cross Tube Flow -- The Falkner-Skan Equation of Boundary Layer -- Rayleigh’s Equation: Hydrodynamical Instability -- Kinematic Waves of Concentration in Ion-Exchange Filter -- Kinematic Shock Waves …
Dirac Monopole -- Magnetic Monopole in Classical Theory -- The Electron-Monopole System:Quantum-Mechanical Interaction -- Topological Roots of the Abelian Monopole -- Abelian Monopole: Relativistic Quantum Theory -- Monopole in Non-Abelian Gauge Theories -- ’t Hooft-Polyakov Monopole -- Multimonopole Configurations -- SU(2) Monopole in Quantum Theory -- Monopoles Beyond SU(2) Group -- Monopol…
Introduction: Basics - Classical Mechanics: Introduction -- Mathematica® Tools -- Kinematics -- Newtonian Mechanics -- Central Forces -- Calculus of Variations -- Lagrange Dynamics -- Hamilton Dynamics -- Chaotic Systems -- Rigid Body Dynamics - Nonlinear Dynamics: Introduction -- The Korteweg-de Vries Equation -- Solution of the Korteweg-de Vries Equation -- Conservation Laws of the Korteweg-…
Preface - Electrodynamics: Introduction -- Potential and Electric Field of Discrete Charge Distributions -- Boundary Problem of Electrostatics -- Two Ions in the Penning Trap -- Exercises -- Packages and Programs - Quantum Mechanics: Introduction -- The Schrödinger Equation -- One Dimensional Potential -- The Harmonic Oscillator -- Anharmonic Oscillator -- Motion in the Central Force Field -- …
Introduction -- The Source of Examples -- Invariance Equation in the Differential Form -- Film Extension of the Dynamics: Slowness as Stability -- Entropy, Quasi-Equilibrium and Projector Field -- Newton Method with Incomplete Linearization -- Quasi-chemical Representation -- Hydrodynamics from Grad's Equations: Exact Solutions -- Relaxation Methods -- Method of Invariant Grids -- Method of Nat…
Knot Invariants and Configuration Space Integrals (Christine Lescop) -- Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces (Raimar Wulkenhaar) -- Introduction to String Compactification (Anamaria Font, Stefan Theisen) -- Index Theorems and Noncommutative Topology (Thierry Fack).This volume offers an introduction, in the form of four extensive lectures, to some recent develo…
Introduction -- Feynman Integrals: Basic Definitions and Tools -- Evaluating by Alpha and Feynman Parameters -- Evaluating by Mellin-Barnes Representation -- IBP and Reduction to Master Integrals -- Reduction to Master Integrals by Baikov's method -- Evaluation by Differential Equations -- Appendix A. Tables -- Appendix B. Some Special Functions -- Appendix C. Summation Formulae -- Appendix D. …