Linear Programming, 4th edition by Robert Vanderbei PDF free download

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

Topics: Linear Regression Analysis, Regression, Model Building, Data Collection, Simple Linear Regression Model, Simple Linear Regression, Least-Squares Estimation, Hypothesis Testing, Interval Estimation, Multiple Regression Models, Multiple linear regression, Hypothesis Testing, Confidence Intervals, Standardized Regression Coefficients, Multicollinearity, Residual Analysis, model adequacy checking, Variance-Stabilizing Transformations, Generalized Least Squares, Weighted Least Squares, Regression Models, subsampling, Leverage, Measures of Influence, influence, Polynomial regression Models, Piecewise Polynomial Fitting, Nonparametric Regression, Kernel Regression, Locally Weighted Regression, Orthogonal Polynomials, Indicator Variables, Multicollinearity, Multicollinearity Diagnostics, Model-Building, regression models, Linear Regression Models, Nonlinear Regression Models, Nonlinear Least Squares, Logistic Regression Models, Poisson regression, Time Series Data, Detecting Autocorrelation, Durbin-Watson Test, Time Series Regression, Robust Regression, Inverse Estimation

Topics: Linear Regression Analysis, Regression, Model Building, Data Collection, Simple Linear Regression Model, Simple Linear Regression, Least-Squares Estimation, Hypothesis Testing, Interval Estimation, Multiple Regression Models, Multiple linear regression, Hypothesis Testing, Confidence Intervals, Standardized Regression Coefficients, Multicollinearity, Residual Analysis, model adequacy checking, Variance-Stabilizing Transformations, Generalized Least Squares, Weighted Least Squares, Regression Models, subsampling, Leverage, Measures of Influence, influence, Polynomial regression Models, Piecewise Polynomial Fitting, Nonparametric Regression, Kernel Regression, Locally Weighted Regression, Orthogonal Polynomials, Indicator Variables, Multicollinearity, Multicollinearity Diagnostics, Model-Building, regression models, Linear Regression Models, Nonlinear Regression Models, Nonlinear Least Squares, Logistic Regression Models, Poisson regression, Time Series Data, Detecting Autocorrelation, Durbin-Watson Test, Time Series Regression, Robust Regression, Inverse Estimation

Topics: Linear programming, simplex method, linear programs, Duality, Complementarity, interior-point methods, conic linear programming, unconstrained problems, concave functions, convex functions, speed of convergence, quasi-newton methods, constrained minimization, penalty method, barrier method, duality method, dual method, primal-dual method

Topics: Operations Research, Operations Research models, linear programming, two-variable linear programming model, modelling, simplex method, sensitivity analysis, artificial starting solution, duality, post-optimal analysis, primal-dual relationships, simplex algorithms, transportation model, assignment mode, network mode, shortest-route problem, Minimal spanning tree algorithm, maximal flow model, critical path model, revised simplex method, revised algorithm, bounded-variables algorithm, parametric linear programming, goal programming, goal programming formulation, goal programming algorithm, integer linear programming, Heuristic programming, greedy heuristic, local search heuristic, metaheuristic, constriant programming, traveling salesperson problem, deterministic dynamic programming, dynamic programming, inventory modelling, probability, probability distribution, decision analysis, games, game theory, probabilistic inventory models, Markov chains, queuing systems, simulation modeling, classical optimization theory, Nonlinear programming algorithms

Topics: Research methodology, research, research methods, research process, research problem, research design, sampling design, census, sample survey, measurement, scaling techniques, scaling, scaling construction techniques, data collection, observation method, case study method, measures of central tendency, measures of dispersion, measures of asymmetry, skewness, simple regression, regression analysis, multiple correlation, regression, partial correlation, sampling, sampling distributions, central limit theorem, sampling theorem, Sandler's A-test, estimation, sample size, hypothesis, hypothesis testing, Chi-square test, Yates correction, ANOVA, analysis of variance and co-variance, ANOVA technique, analysis of Co-variance, ANOCOVA, nonparametric test, distribution free test

Topics: Linear Programming, Linear Programming Model Formulation, Graphical Method, Simplex Method, Duality in Linear Programming, Dual Linear Programming Problem, Sensitivity Analysis, Integer Linear Programming, Goal Programming, Transportation Problem, Assignment Problem, Decision Theory, Decision Trees, Theory of Games, game theory, Project Management, Deterministic Inventory Control Models, Probabilistic Inventory Control Models, Queuing Theory, Replacement Models, Maintenance Models, Markov Chains, Simulation, Sequencing Problems, Information Theory, Dynamic Programming, Classical Optimization Methods, Non-Linear Programming Methods, Revised Simplex Method, Dual-Simplex Method, Bounded Variables Linear Programming Problem, Parametric Linear Programming

Topics: linear programming, simplex method, duality theory, Linear Programming under Uncertainty, Algorithms for Linear Programming, Transportation and Assignment Problems, Network Optimization Models, Dynamic Programming, Integer Programming, Nonlinear Programming, Metaheuristics, Game Theory, Decision Analysis, Queueing Theory, Inventory Theory, Markov Decision Processes, Simulation

Topics: Line Search, Newton’s Methods, Conjugate Gradient Method, Quasi-Newton Methods, Trust-Region, Conic Model Methods, Theory of Constrained Optimization, Quadratic Programming, Penalty Function Methods, Methods for Constrained Problems, Non smooth Optimization

Topics: Numerical Methods, Eigen value problems, Newton-Raphson Method, General Iteration Method, Convergence of Iteration Methods, Gauss Elimination Method, Gauss-Jordan Method, interpolation, approximation, Lagrange Interpolation, Newton’s Divided Difference Interpolation, Spline Interpolation, Cubic Splines, numerical differentiation, integration, Trapezium Rule, initial value problem, Romberg Method, Taylor Series Method, Adams-Moulton Methods, Predictor-Corrector Methods, boundary value problems

Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

Topics: Classical Optimization Techniques, Linear Programming, Simplex Method, One-Dimensional Minimization Methods, Nonlinear Programming, Geometric Programming, Dynamic Programming, Integer Programming, Stochastic Programming, Optimal Control, Optimality Criteria Methods, Convex Functions, Concave Functions

Topics: PROBLEM FORMULATION, OPTIMIZATION THEORY, OPTIMIZATION METHODS, APPLICATIONS OF OPTIMIZATION, HEAT TRANSFER, ENERGY CONSERVATION, SEPARATION PROCESSES, FLUID FLOW SYSTEMS, CHEMICAL REACTOR DESIGN, CHEMICAL REACTOR OPERATION, INTEGRATED PLANNING SCHEDULING, OPTIMIZATION OF UNCONSTRAINED FUNCTIONS, UNCONSTRAINED MULTIVARIABLE OPTIMIZATION, LINEAR PROGRAMMING, NONLINEAR PROGRAMMING, MIXED-INTEGER PROGRAMMING, GLOBAL OPTIMIZATION

Topics: Finite Difference Method, Second Order Differential Equations, Finite Difference Approximation, Partial Differential Equations

Topics: mathematical programming, linear programming, simplex method, dual simplex method, duality analysis, sensitivity analysis, integer programming, branch-and-round algorithm, cut algorithm, transportation algorithm, scheduling methods, nonlinear programming, single-variable optimization, multivarible optimization, network analysis, project planning, inventory models, forecasting, game theory, decision theory, dynamic programming, finite markov chains, markovian birth-death processes, queuing systems

Topics: Single-Equation Regression Models, Regression Analysis.Two-Variable Regression Analysis, Two-Variable Regression Model, Classical Normal Linear Regression Model, Two-Variable Regression, Interval Estimation, Hypothesis Testing, Multiple Regression Analysis, Dummy Variable Regression Models, Multicollinearity, Heteroscedasticity, Autocorrelation, Econometric Modeling, Nonlinear Regression Model, Qualitative Response Regression Models, Panel Data Regression Models, Dynamic Econometric Models, Autoregressive Lag Models, Distributed-Lag Models, Simultaneous-Equation Models, Time Series Econometrics, Simultaneous-Equation Models, Identification Problem, Simultaneous-Equation Methods, Time Series Econometrics, Time Series Econometrics, Forecasting, econometrics

Topics: econometrics, Single-Equation Regression Models, Regression Analysis.Two-Variable Regression Analysis, Two-Variable Regression Model, Classical Normal Linear Regression Model, Two-Variable Regression, Interval Estimation, Hypothesis Testing, Multiple Regression Analysis, Dummy Variable Regression Models, Multicollinearity, Heteroscedasticity, Autocorrelation, Econometric Modeling, Nonlinear Regression Model, Qualitative Response Regression Models, Panel Data Regression Models, Dynamic Econometric Models, Autoregressive Lag Models, Distributed-Lag Models, Simultaneous-Equation Models, Time Series Econometrics, Simultaneous-Equation Models, Identification Problem, Simultaneous-Equation Methods, Time Series Econometrics, Time Series Econometrics, Forecasting

Topics: Structural Design, Design Philosophy, Design Basics, Basic structural concepts, materials properties, Design loads acting on structures, Design loads acting on elements, Structural analysis, Beam design, Column design, British Standard Structural design, Beams, Slabs, Foundations, Retaining walls, Design in structural steelwork to BS5950, Iron, Steel, Design Strength, Connections Design, Design in unreinforced masonry, Design in timber to BS5268, Structural design to Eurocodes

Topics: Structural elements design, Structural Analysis Techniques, Shear Force, Bending moment, Shear force diagram, Bending moment diagram, Deflection of Beams, Elastic Shear stress distribution, Elastic Bending stress distribution, Transformed sections, Moment distribution, Bending stiffness, Rotational Stiffness, Carry-over moment, Pinned End, Free Moments, Fixed bending moments, Distribution Factors, Design Philosophies, Permissible stress Design, Load Factor Design, Limit State Design, Design codes, Eurocodes, National Annex, Structural Loading, Dead loads, Imposed loads, Imposed roof loads, Floor load distribution, Load distribution, Structural Instability, Overall Stability, Robustness, Reinforced concrete Element's Design, Structural Steelwork Elements' Design, Structural Timber Elements' Design.