Research Articles -- Some variational convergence results for a class of evolution inclusions of second order using Young measures -- Law invariant convex risk measures -- A method in demand analysis connected with the Monge—Kantorovich problem -- Real indeterminacy of equilibria with real and nominal assets -- The bearing of duality on microeconomics.A lot of economic problems can be formula…
omaggio a Coxeter -- H.S.M. Coxeter: un breve omaggio -- Donald nel paese delle meraviglie: le varie sfaccettature della vita di H.S.M. Coxeter -- matematica e immagini -- Visioni e realtà. Empiria e geometria -- Stelle -- matematica e Venezia -- Un epsilon piccolo a piacere: le murrine veneziane e muranesi -- matematica e applicazioni -- Modelli matematici per la meteorologia -- La matematica…
The Appetizers -- Linear ODEs of Physics -- Applications of Series -- Vectors and Matrices -- The Entrees -- Linear PDEs of Physics -- Complex Variables -- Integral Transforms -- Calculus of Variations -- The Desserts -- NLODEs & PDEs of Physics -- Numerical Methods.Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and ma…
Elements of Probability Theory -- Elements of Statistical Theory -- Applied Linear Regression -- Profile Analysis -- Discriminant Analysis -- Statistical Software -- Annotated Plasma Physical Datasets.Classical Methods of Statistics is a blend of theory and practical statistical methods written for graduate students and researchers interested in applications to plasma physics and its experiment…
Intelligent Techniques and Computational Intelligence -- Neuro-Fuzzy based Intelligent Hybrid Systems for Fault Diagnosis -- Neuro-Fuzzy Integration in Intelligent Hybrid Systems -- Fuzzy Rules Extraction from ANNs -- Integration of Explicit and Implicit Knowledge in Intelligent Hybrid Systems -- Practical Implementation Aspects Regarding Real-World Applications of Intelligent Hybrid Systems (N…
Lie Groups -- Subgroups -- Lie Algebra -- A Little Kinematics -- Line Geometry -- Representation Theory -- Screw Systems -- Clifford Algebra -- A Little More Kinematics -- The Study Quadric -- Statics -- Dynamics -- Constrained Dynamics -- Differential Geometry.Geometric Fundamentals of Robotics provides an elegant introduction to the geometric concepts that are important to applications in rob…
1 Relativity based on symmetry -- 1.1 Space-time transformation based on relativity -- 1.2 Step 6 - Identification of invariants -- 1.3 Relativistic velocity addition -- 1.4 Step 7 - The velocity ball as a bounded symmetric domain -- 1.5 Step 8 - Relativistic dynamics -- 1.6 Notes -- 2 The real spin domain -- 2.1 Symmetric velocity addition -- 2.2 Projective and conformal commutativity and asso…
1 Approximation with Polynomials -- 1.1 Approximation of a function on an interval -- 1.2 Weierstrass’ theorem -- 1.3 Taylor’s theorem -- 1.4 Exercises -- 2 Infinite Series -- 2.1 Infinite series of numbers -- 2.2 Estimating the sum of an infinite series -- 2.3 Geometric series -- 2.4 Power series -- 2.5 General infinite sums of functions -- 2.6 Uniform convergence -- 2.7 Signal transmissio…
Linear Partial Differential Equations -- Nonlinear Model Equations and Variational Principles -- First-Order, Quasi-Linear Equations and Method of Characteristics -- First-Order Nonlinear Equations and Their Applications -- Conservation Laws and Shock Waves -- Kinematic Waves and Real-World Nonlinear Problems -- Nonlinear Dispersive Waves and Whitham’s Equations -- Nonlinear Diffusion-Reactio…
Korteweg de-Vries Equation -- Weakly Nonlinear Wave Packets and the Nonlinear Schrödinger Equation -- Wave Interactions -- Wave-mean interaction theory -- Wave Turbulence with Applications to Atmospheric and Oceanic Waves -- Nonlinear Amplitude Equations and Soliton Excitations in Bose-Einstein Condensates.Although nonlinear waves occur in nearly all branches of physics and engi neering, the…