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Exterior differential systems and Euler-Lagrange partial differential equations
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ISBN: 0226077934 0226077942 Year: 2003 Publisher: Chicago (Ill.) : University of Chicago press,

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In 'Exterior Differential Systems', the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws. This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis.


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Portfolio;##Maria Dawlat, Frank De Mulder, Peter De Mulder, Roger Dijkmans, Luc Gees, Marc Lagrange, Dirk Leunis, Dominique Libert, Alex Salinas, Dirk Schönberger, Kurt Stallaert, Ronald Stoops.
Year: 2003

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Basic econometrics
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ISBN: 0072335424 0071123423 0071123431 0072427914 9780071123426 Year: 2003 Publisher: Boston (Mass.): McGraw-Hill,

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Gujarati's Basic Econometrics provides an elementary but comprehensive introduction to econometrics without resorting to matrix algebra, calculus, or statistics beyond the elementary level. Because of the way the book is organized, it may be used at a variety of levels of rigor. A CD of data sets is provided with the text.

Keywords

AA / International- internationaal --- 303.0 --- 305.970 --- 303.8 --- 305.971 --- 303.5 --- 305.0 --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken). --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots. --- Econometrische behandeling van een onderwerp. --- Speciale gevallen in econometrische modelbouw. --- Theorie van correlatie en regressie. (OLS, adjusted LS, weighted LS, restricted LS, GLS, SLS, LIML, FIML, maximum likelihood). Parametric and non-parametric methods and theory (wiskundige statistiek). --- Toegepaste econometrie en statistiek (algemene naslagwerken). Statistische onderzoekingen en studiën. --- Econometrics. --- Social Sciences and Humanities. Economics --- 330.115 --- 330.115 Econometrie --- Econometrie --- Econometrics --- Economics, Mathematical --- Statistics --- Statistische technieken in econometrie. Wiskundige statistiek (algemene werken en handboeken) --- Theorie van correlatie en regressie. (OLS, adjusted LS, weighted LS, restricted LS, GLS, SLS, LIML, FIML, maximum likelihood). Parametric and non-parametric methods and theory (wiskundige statistiek) --- Econometrische behandeling van een onderwerp --- Toegepaste econometrie en statistiek (algemene naslagwerken). Statistische onderzoekingen en studiën --- Algemeenheden: Autoregression and moving average representation. ARIMA. ARMAX. Lagrange multiplier. Wald. Function (mis) specification. Autocorrelation. Homoscedasticity. Heteroscedasticity. ARCH. GARCH. Integration and co-integration. Unit roots --- Speciale gevallen in econometrische modelbouw --- Quantitative methods (economics) --- HB 139 Econometrics -- General Works

Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation
Authors: --- ---
ISBN: 1299443451 1400837189 069111482X 0691114838 9781400837182 9781299443457 9780691114835 9780691114828 Year: 2003 Publisher: Princeton, NJ : Princeton University Press,

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This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrödinger equation in the semiclassical asymptotic regime. This problem is a key model in nonlinear optical physics and has increasingly important applications in the telecommunications industry. The authors exploit complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations suspected of governing the semiclassical behavior. In doing so they also aim to explain the observed gradient catastrophe for the underlying nonlinear elliptic partial differential equations, and to set forth a detailed, pointwise asymptotic description of the violent oscillations that emerge following the gradient catastrophe. To achieve this, the authors have extended the reach of two powerful analytical techniques that have arisen through the asymptotic analysis of integrable systems: the Lax-Levermore-Venakides variational approach to singular limits in integrable systems, and Deift and Zhou's nonlinear Steepest-Descent/Stationary Phase method for the analysis of Riemann-Hilbert problems. In particular, they introduce a systematic procedure for handling certain Riemann-Hilbert problems with poles accumulating on curves in the plane. This book, which includes an appendix on the use of the Fredholm theory for Riemann-Hilbert problems in the Hölder class, is intended for researchers and graduate students of applied mathematics and analysis, especially those with an interest in integrable systems, nonlinear waves, or complex analysis.

Keywords

Schrodinger equation. --- Wave mechanics. --- Equation, Schrödinger --- Schrödinger wave equation --- Electrodynamics --- Matrix mechanics --- Mechanics --- Molecular dynamics --- Quantum statistics --- Quantum theory --- Waves --- Differential equations, Partial --- Particles (Nuclear physics) --- Wave mechanics --- WKB approximation --- Schrödinger equation. --- Schrödinger, Équation de. --- Solitons. --- Abelian integral. --- Analytic continuation. --- Analytic function. --- Ansatz. --- Approximation. --- Asymptote. --- Asymptotic analysis. --- Asymptotic distribution. --- Asymptotic expansion. --- Banach algebra. --- Basis (linear algebra). --- Boundary (topology). --- Boundary value problem. --- Bounded operator. --- Calculation. --- Cauchy's integral formula. --- Cauchy's integral theorem. --- Cauchy's theorem (geometry). --- Cauchy–Riemann equations. --- Change of variables. --- Coefficient. --- Complex plane. --- Cramer's rule. --- Degeneracy (mathematics). --- Derivative. --- Diagram (category theory). --- Differentiable function. --- Differential equation. --- Differential operator. --- Dirac equation. --- Disjoint union. --- Divisor. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Elliptic integral. --- Energy minimization. --- Equation. --- Euler's formula. --- Euler–Lagrange equation. --- Existential quantification. --- Explicit formulae (L-function). --- Fourier transform. --- Fredholm theory. --- Function (mathematics). --- Gauge theory. --- Heteroclinic orbit. --- Hilbert transform. --- Identity matrix. --- Implicit function theorem. --- Implicit function. --- Infimum and supremum. --- Initial value problem. --- Integrable system. --- Integral curve. --- Integral equation. --- Inverse problem. --- Jacobian matrix and determinant. --- Kerr effect. --- Laurent series. --- Limit point. --- Line (geometry). --- Linear equation. --- Linear space (geometry). --- Logarithmic derivative. --- Lp space. --- Minor (linear algebra). --- Monotonic function. --- Neumann series. --- Normalization property (abstract rewriting). --- Numerical integration. --- Ordinary differential equation. --- Orthogonal polynomials. --- Parameter. --- Parametrix. --- Paraxial approximation. --- Parity (mathematics). --- Partial derivative. --- Partial differential equation. --- Perturbation theory (quantum mechanics). --- Perturbation theory. --- Pole (complex analysis). --- Polynomial. --- Probability measure. --- Quadratic differential. --- Quadratic programming. --- Radon–Nikodym theorem. --- Reflection coefficient. --- Riemann surface. --- Simultaneous equations. --- Sobolev space. --- Soliton. --- Special case. --- Taylor series. --- Theorem. --- Theory. --- Trace (linear algebra). --- Upper half-plane. --- Variational method (quantum mechanics). --- Variational principle. --- WKB approximation. --- Schrödinger, Équation de.

Interest and prices : foundations of a theory of monetary policy
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ISBN: 0691010498 9780691010496 9786612935602 1400830168 1282935607 Year: 2003 Publisher: Princeton, NJ: Princeton university press,

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With the collapse of the Bretton Woods system, any pretense of a connection of the world's currencies to any real commodity has been abandoned. Yet since the 1980s, most central banks have abandoned money-growth targets as practical guidelines for monetary policy as well. How then can pure "fiat" currencies be managed so as to create confidence in the stability of national units of account?Interest and Prices seeks to provide theoretical foundations for a rule-based approach to monetary policy suitable for a world of instant communications and ever more efficient financial markets. In such a w

Keywords

Finances internationales --- Inflation --- Intérêt (économie politique) --- Politique monétaire --- Monetary policy --- International finance --- Modèles économétriques --- Econometric models --- Capital assets pricing model --- Spéculation --- Modèle de fixation du prix des actifs --- Politique monetaire. --- Politique economique. --- Interet (Economie) --- Prix. --- 333.842 --- -Prices --- 332.46 --- Commodity prices --- Justum pretium --- Willingness to pay --- Prijsvorming. Prijskostenverhouding. Prijsbeweging. Prijsfluctuatie--macroeconomisch; prijsindex zie {336.748.12} --- Geld. Monetaire politiek --- Deflatie. --- Intérêt (Économie) --- Politique économique. --- Politique monétaire. --- Intérêt (Économie). --- 338.5 Prijsvorming. Prijskostenverhouding. Prijsbeweging. Prijsfluctuatie--macroeconomisch; prijsindex zie {336.748.12} --- Spéculation --- Modèle de fixation du prix des actifs --- Analyse financière --- 330.101 --- 336.74 --- 306.110 --- 330.00 --- 333.403 --- 333.44 --- 333.820 --- 333.841 --- AA / International- internationaal --- 338.5 --- Monetary management --- Economic policy --- Currency boards --- Money supply --- 336.74 Geld. Geldwezen. Monetaire sector. --- Geld. Geldwezen. Monetaire sector. --- Macro-economie --- Algemeenheden over indexcijfers --- Economische en sociale theorieën: algemeenheden --- Monetaire theorieën. Kwantitatieve theorie. Theorie van de incasso's. Optiek van de uitgaven en inkomens --- Monetaire congressen, conferenties en onderzoeken --- Geldbeleid, bankbeleid en kredietbeleid: algemeenheden --- Inflatie --- Deflatie --- Geld. Geldwezen. Monetaire sector --- Macroeconomics --- Money. Monetary policy --- Monetary policy. --- Securities --- Speculation --- Investment analysis --- Capital investments. --- Politique monétaire --- Valeurs mobilières --- Investissements de capitaux --- Prices --- Mathematical models --- Prix --- Modèles mathématiques --- Finances internationales. --- Modèles économétriques. --- Politique monétaire. --- Politique économique. --- Intérêt (Économie) --- Account (accountancy). --- Addition. --- Aggregate demand. --- Aggregate expenditure. --- Aggregate supply. --- Approximation. --- Autocorrelation. --- Budget constraint. --- Calculation. --- Central bank. --- Characteristic polynomial. --- Coefficient. --- Conditional expectation. --- Consumption (economics). --- Cost curve. --- Currency. --- Deflation. --- Demand curve. --- Determinacy. --- Determinant. --- Economic equilibrium. --- Economics. --- Economy. --- Eigenvalues and eigenvectors. --- Elasticity of substitution. --- Estimation. --- Expected value. --- Expenditure. --- Factor market. --- Federal funds rate. --- Fiscal policy. --- Forecasting. --- GDP deflator. --- IS–LM model. --- Impulse response. --- Income. --- Indexation. --- Inflation targeting. --- Inflation. --- Initial condition. --- Interest rate. --- Interest. --- Intertemporal budget constraint. --- Investment. --- Lagrange multiplier. --- Long run and short run. --- Loss function. --- Marginal cost. --- Marginal rate of substitution. --- Marginal utility. --- Market liquidity. --- Market power. --- Market rate. --- Markup (business). --- Mathematical optimization. --- Monetary base. --- Monetary transmission mechanism. --- Money supply. --- New Keynesian economics. --- Nominal interest rate. --- Nominal rigidity. --- Optimization problem. --- Output gap. --- Partial derivative. --- Percentage point. --- Percentage. --- Phillips curve. --- Potential output. --- Prediction. --- Present value. --- Price Change. --- Price index. --- Price level. --- Pricing. --- Private sector. --- Probability. --- Production function. --- Quantity. --- Real Rate Of Return. --- Real gross domestic product. --- Real income. --- Real interest rate. --- Real versus nominal value (economics). --- Real wages. --- Relative price. --- Requirement. --- Stabilization policy. --- State of the World (book series). --- Stochastic discount factor. --- Stochastic process. --- Stock. --- Structural equation modeling. --- Supply (economics). --- Tax rate. --- Tax. --- Taylor rule. --- Time preference. --- Trade-off. --- Utility. --- Intérêt (économie politique) --- Modèles économétriques.

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