Mathematics For Economic Analysis

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This book aims at helping students acquire mathematical skills they need in order to function properly as economists or as business analysts in the contemporary world. It is a mathematics book with material arranged to allow progressive learning of mathematical topics. It contains a large number of worked examples as well as problems Salient Features Offers the expertise and insights of a prominent economic theorist and a mathematician—both of whom have been teaching mathematics for economists for many years. Assumes no previous knowledge of calculus, and includes (in appendices) extensive review of elementary algebra. Focuses on the application of the essential mathematical ideas, rather than the economic theories which build upon them. Features an abundance of examples and problems. Table Of Contents Introduction. Functions of One Variable: Introduction. Polynomials, Powers, and Exponentials. More on Differentiation. Limits, Continuity, and Series. Implications of Continuity and Differentiability. Exponential and Logarithmic Functions. Single Variable Optimization. Integration. Further Topics in Integration. Linear Algebra: Vectors and Matrices. Determinants and Matrix Inversion. Functions of Several Variables. Toolkit for Comparative Statics. Multivariable Optimization. Constrained Optimization. Linear Programming. Difference Equations. Differential Equations.