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Book
Author Carter, Michael, 1950-

Title Foundations of mathematical economics / Michael Carter
Published Cambridge, Mass. : MIT Press, [2001]
©2001

Copies

Location Call no. Vol. Availability
 MELB  330.0151 Car/Fom  AVAILABLE
Description xviii, 649 pages : illustrations ; 23 cm
Contents 1. Sets and Spaces -- 1.1. Sets -- 1.2. Ordered Sets -- 1.3. Metric Spaces -- 1.4. Linear Spaces -- 1.5. Normed Linear Spaces -- 1.6. Preference Relations -- 2. Functions -- 2.1. Functions as Mappings -- 2.2. Monotone Functions -- 2.3. Continuous Functions -- 2.4. Fixed Point Theorems -- 3. Linear Functions -- 3.1. Properties of Linear Functions -- 3.2. Affine Functions -- 3.3. Linear Functionals -- 3.4. Bilinear Functions -- 3.5. Linear Operators -- 3.6. Systems of Linear Equations and Inequalities -- 3.7. Convex Functions -- 3.8. Homogeneous Functions -- 3.9. Separation Theorems -- 4. Smooth Functions -- 4.1. Linear Approximation and the Derivative -- 4.2. Partial Derivatives and the Jacobian -- 4.3. Properties of Differentiable Functions -- 4.4. Polynomial Approximation -- 4.5. Systems of Nonlinear Equations -- 4.6. Convex and Homogeneous Functions -- 5. Optimization -- 5.1. Introduction -- 5.2. Unconstrained Optimization -- 5.3. Equality Constraints
5.4. Inequality Constraints -- 6. Comparative Statics -- 6.1. The Envelope Theorem -- 6.2. Optimization Models -- 6.3. Equilibrium Models
Bibliography Includes bibliographical references (page 635]-639) and index
Subject Economics, Mathematical.
LC no. 2001030482
ISBN 0262531925 paperback alkaline paper
0262032899 hardcover alkaline paper
Other Titles Mathematical economics