Fundamental methods of mathematical economics
The best-selling, best known text in Mathematical Economics course, 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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altematively apply axis chain rule choice variables coefficient cofactor column commodity constant convex function convex set curve deﬁned deﬁnition demand denoted determinant diagram differential equation diﬂerential discussion domain dy/dx economic elements equation system equilibrium evaluated Example exogenous variables exponential function expression ﬁnd ﬁnding ﬁrm ﬁrst ﬁrst derivative ﬁrst-order condition ﬁxed function f given graph identical implicit function implicit-function independent variables inequality inﬁnite input integral inverse inverse function isoquant limit linear linearly independent logarithm Maclaurin series mathematical matrix minimum multiplication nonzero ordered pairs output levels parameters partial derivatives polynomial positive problem proﬁt quadratic form quadratic function quasiconcave quotient rate of growth real numbers relative extremum result roots rule satisﬁed scalar second derivative second-order condition slope speciﬁc stationary value strictly concave strictly convex symbol theorem total derivative total differential vector write zero