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Sensitivity Analysis : Matrix Methods in Demography and Ecology
This book shows how to use sensitivity analysis in demography. It presents new methods for individuals, cohorts, and populations, with applications to humans, other animals, and plants. The analyses are based on matrix formulations of age-classified, stage-classified, and multistate population models. Methods are presented for linear and nonlinear, deterministic and stochastic, and time-invariant and time-varying cases. Readers will discover results on the sensitivity of statistics of longevity, life disparity, occupancy times, the net reproductive rate, and statistics of Markov chain models in demography. They will also see applications of sensitivity analysis to population growth rates, stable population structures, reproductive value, equilibria under immigration and nonlinearity, and population cycles. Individual stochasticity is a theme throughout, with a focus that goes beyond expected values to include variances in demographic outcomes.
Optimisation appliquée = Optimization applied
Presents the fundamental concepts of classical optimization and linear programming. In addition to a prologue and epilogue, the book includes a section on mathematical theory, covering matrix calculus and systems of linear equations and inequalities. It then deals with classical optimization, both constrained and unconstrained, linear programming, the simplex method, and the revised simplex method. The final chapters are devoted to duality, post-optimization and sensitivity analysis, as well as transportation problems. Emphasis is placed on explaining the methods presented and their applications. Numerous numerical examples drawn from various economic and social situations are provided.
Mathématiques de base pour économistes = Basic Mathematics for Economists
This book contains fundamental elements of mathematics and includes the following elements: notion of logic, propositions, theorems, sets, relations and functions; graphical representations of functions, economic applications of lines and functions, sequences, limits and first derivative, differential economic applications of derivatives; integrals: undefined and defined with economic applications; mathematical series; functions of several variables, partial derivatives, Lagrange multiplier with economic applications; linear algebra: matrix calculus, system of linear equations, vectors, differential calculus in matrix form.
