Modern Electronic Structure Theory for Complex Properties of Magnetic Materials -- Monte Carlo Studies of Surface and Interface Effects in Magnetic Nanoparticles -- Magnetic Nanoparticles as Many-Spin Systems -- From Finite Size and Surface Effects to Glassy Behaviour in Ferrimagnetic Nanoparticles -- Effect of Surface Anisotropy on the Magnetic Resonance Properties of Nanosize Ferroparticles -…
Statistical Methods -- Uniform and Correlated Mass Density Fields -- The Power Spectrum and the Classification of Stationary Stochastic Fields -- Fractals -- Multifractals and Mass Distributions -- Applications to Cosmology -- Fluctuations in Standard Cosmological Models: A Real Space View -- Discrete Representation of Fluctuations in Cosmological Models -- Galaxy Surveys: An Introduction to Th…
Statistical Description of Large Systems. Postulates of Statistical Physics -- The Different Statistical Ensembles. General Methods in Statistical Physics -- Thermodynamics and Statistical Physics in Equilibrium -- The Ideal Gas -- Indistinguishability, the Pauli Principle (Quantum Mechanics) -- General Properties of the Quantum Statistics -- Free Fermions Properties -- Elements of Bands Theory…
Basic Information on Capital Markets -- Random Walks in Finance and Physics -- The Black-Scholes Theory of Option Prices -- Scaling in Financial Data and in Physics -- Turbulence and Foreign Exchange Markets -- Derivative Pricing Beyond Black—Scholes -- Microscopic Market Models -- Theory of Stock Exchange Crashes -- Risk Management -- Economic and Regulatory Capital for Financial Institution…
KdV-Class Solitons -- Generalized KdV Equations. NLS and DNLS Equations -- Classic Two- and Three-Dimensional KP Models and Their Applications -- Generalized Two- and Three-Dimensional Models and Their Applications -- Appendices.This book is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics - the theoretical, analytical and advanced …
General Characteristic of Control Systems -- Formal Models of Control Systems -- Control for the Given State (the Given Output) -- Optimal Control with Complete Information on the Plant -- Parametric Optimization -- Application of Relational Description of Uncertainty -- Application of Probabilistic Descriptions of Uncertainty -- Uncertain Variables and Their Applications -- Fuzzy Variables, An…
Two Methods for Analysis of Continuum Mechanics of Elastic Structures -- Vibrations of Inclined Bars with End Constraint -- Vibrations of Frames with Inclined Members -- Vibrations of X-Braced Portal Frames -- Vibrations of X-Braced Multi-Story Frames -- Effect of Rotatory Inertia and Shear Deformation on Vibration of Inclined Bars -- Out-of-Plane Vibrations of Plane Frames -- Buckling of Incli…
Monumental Dams -- Approach of Mechanical Behaviour and Rupture of Cohesive Granular Media. Validation on a Model Medium -- Phase Change of Volatile Organic Compounds in Soil Remediation Processes -- Thermo-mechanical Behaviour of a Soil. Yield Surface Evolution -- Water Transport in Soil with Phase Change -- Tunnels in Saturated Elasto-plastic Soils: Three-dimensional Validation of a Plane Sim…
Basic quantities and definitions -- The Boltzmann equation and its properties -- The Chapman-Enskog method -- Moment equations -- Grad’s moment method -- Regularization of Grad equations -- Order of magnitude approach -- Macroscopic transport equations for rarefied gas flows -- Stability and dispersion -- Shock structures -- Boundary value problems.The well known transport laws of Navier-Stok…
Differential equations -- Time invariant systems -- Time varying systems -- Differential inclusions -- Additional properties of strict Liapunov functions -- Monotonicity and generalized derivatives.This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem…