Fundamental Methods of Mathematical Economics, Volume 1984In this book, Chiang teaches the basic mathematical methods indispensable for understanding current economic literature. The book's patient explanations are written in an informal, non-intimidating style. To underscore the relevance of mathematics to economics, the author allows the economist's analytical needs to motivate the study of related mathematical techniques; he then illustrates these techniques with appropriate economics models. Graphic illustrations often visually reinforce algebraic results. Many exercise problems serve as drills and help bolster student confidence. These major types of economic analysis are covered: statics, comparative statics, optimization problems, dynamics, and mathematical programming. These mathematical methods are introduced: matrix algebra, differential and integral calculus, differential equations, difference equations, and convex sets. |
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Page 98
... coefficient matrix is tantamount to the conditions for the existence of a unique solution enunciated in Sec . 3.4 . Let us illustrate how the linear dependence among the rows of the coefficient matrix can cause inconsistency or linear ...
... coefficient matrix is tantamount to the conditions for the existence of a unique solution enunciated in Sec . 3.4 . Let us illustrate how the linear dependence among the rows of the coefficient matrix can cause inconsistency or linear ...
Page 466
... coefficient . This is not to imply that it can never actually have a nonunit coefficient , but when such a coefficient appears , we can always " normalize " the equation by dividing each term by the said coefficient . For this reason ...
... coefficient . This is not to imply that it can never actually have a nonunit coefficient , but when such a coefficient appears , we can always " normalize " the equation by dividing each term by the said coefficient . For this reason ...
Page 764
... coefficient matrix , the third row and the third column ( each of which contains a series of 1s followed by a 0 ) serve to border a 2 × 2 matrix that represents - A ' , i.e. , the payoff matrix A 2 3 in ( 21.7 ) duly transposed and ...
... coefficient matrix , the third row and the third column ( each of which contains a series of 1s followed by a 0 ) serve to border a 2 × 2 matrix that represents - A ' , i.e. , the payoff matrix A 2 3 in ( 21.7 ) duly transposed and ...
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a₁ analysis apply axis b₁ characteristic roots choice variables coefficient column comparative-static complementary function concave constant constraint convex set Cramer's rule curve d²z defined definite denoted determinant diagram difference equation differential equation discussion dual economic elements equilibrium Example EXERCISE exponential exponential function expression extremum feasible region first-order condition given graph identical indifference curves inequality input inverse isoquant Kuhn-Tucker limit linear program marginal mathematical matrix maximization maximum minimum multiplication negative nonlinear nonlinear programming nonnegative Note objective function optimal solution ordered pairs output parameters partial derivatives particular integral path payoff payoff matrix phase line player polynomial positive problem quadratic form quotient reader real numbers result rule satisfy scalar second derivative second-order condition slope Solve specific subset substitution symbol term theorem total differential vector write x₁ y₁ Y₁+1 zero