## Topics in mathematical analysis for economistsDifferential equations of first order; Complex numbers. Algebraic equations; Topics in the theory of functions of several variables; Integration; Static optimization theory; Differential equations of higher order; Difference equations. |

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### Contents

Preface Chapter | 1 |

Classification of differential equations | 5 |

Separable differential equations | 11 |

Copyright | |

84 other sections not shown

### Common terms and phrases

arbitrary constants assume asymptotically stable Chapter characteristic equation characteristic roots coefficients commodity complete solution complex numbers Compute concave concave function continuous function converges convex set corresponding critical point denote determinant difference equation differentiable function differential equation domain double integral economic equal equilibrium point Example Exercise exists extreme points first-order following result formula geometric global graph Hence homogeneous of degree hyperplane indicated in Fig inequality integral curve interior point interval Jacobian Lagrange multiplier Liapunov function linear linearly independent matrix maximization maximum method minimum point multiplicity natural number necessary conditions negative neighbourhood non-negative Note obtain optimal partial derivatives plane polynomial positive definite problem proof prove quadratic form quasi-concave real number real roots right-hand side saddle point satisfies the equation Section sequence solve special solution sufficient condition Suppose systems of equations tangent Taylor formula Theorem theory transformation unique unknown function variables vector