Titlebook: Introduction to Mathematics for Economics with R; Massimiliano Porto Book 2022 The Editor(s) (if applicable) and The Author(s), under excl

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書目名稱Introduction to Mathematics for Economics with R網(wǎng)絡(luò)公開(kāi)度




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Linear AlgebraOutput model, Network analysis and linear model. Examples of functions coded from scratch include functions to compute the determinant with the Laplace expansion method and with the eigenvalues, a function to compute the unit vector, a function to compute the inner product, a function to compute the leading principal minors.

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Differential Equationsations in Economics include: a problem with interest rate, the advertising model, the Harrod-Domar growth model, and the Solow growth model. Examples of functions coded from scratch include: functions that solve numerically differential equations with the Euler and Runge-Kutta methods.

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Book 2022ndational topics in linear algebra, calculus, and optimization. The book is organized in order of increasing difficulty, beginning with a rudimentary introduction to R and progressing through exercises that require the reader to code their own functions in R. All chapters include applications for to

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Differential Calculuse L’H?pital theorem (Sect.4.11). Examples of applications in Economics include: marginal cost and average cost, profit maximization, and elasticity. Examples of functions coded from scratch include: a function to compute the limit, a function to compute the derivative, a function to implement the Newton-Raphson method.

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Integral Calculus cover the topic of improper integrals and the case of convergence and divergence (Sect. 5.4). Examples of applications in Economics include: marginal cost and total cost, the surplus of consumer and producer. Examples of functions coded from scratch include a function to compute the area under a curve. The replication is left as exercise.

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Functions of One Variabletions in Economics include: the cost function, production function with a single input, and indifference curves. Examples of functions coded from scratch include: a function to compute the slope of a linear function, functions to solve quadratic and cubic equations.