Mathematical Methods for Economic Theory 1

ISBN-13: 9783540662358 / Angielski / Twarda / 1999 / 414 str.

Moore James C.

Opis

Provides a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This to-volume work is aimed at graduate students and also acts as a reference work for economic scholars.

Spis treści

Set Theory and Properties of Rn.- Set-Theoretic Notation and Concepts.- Properties of The Real Numbers.- Binary Relations.- Euclidean Norm and Metric.- Open and Closed Sets in Rn.- Relatively Open and Closed Sets.- Some Linear Space Properties of Rn.- Sequences and Infinite Series.- Sequences of Real Numbers.- Subsequences and Cauchy Sequences.- Infinite Series.- Efficient Intertemporal Allocation.- Sequences and Series in Rn.- Continuity.- Continuous Vector-Valued Functions.- Continuity and Compactness.- Semi-Continuous Functions.- Limits Inferior and Superior of a Function.- Transformation Functions.- Production and Cost Functions.- Sequences of Functions and Limits.- Linear Spaces.- Introduction.- Linear Combinations and Subspaces.- Linear Transformations and Functionals.- Normed Linear Spaces.- Inner Product Spaces.- Product Spaces and Direct Sums.- Affine Sets.- Convex Sets and Functions.- Convex Sets.- Relative Interiors of Convex Sets.- Extreme Points of a Convex Set.- Minimum Distance and Projection Theorems.- Basic Separation Theorems in Rn.- Convex and Concave Functions.- Continuity of Convex Functions.- Quasi-Concave Functions.- Applications of Convexity.- Introduction.- Basic Production and Cost Theory.- Distance and Support Functions.- Duality of Cost and Production.- Homotheticity.- Welfare Economics.- Constrained Extrema and Saddle Points.

O autorze

JAMES MOORE is an Emmy Award-winning TV news correspondent with more than a quarter century of print and broadcast experience. He has traveled extensively on every presidential campaign since 1976. His reports have appeared on CNN, NBC, and CBS. His professional honors include an Emmy from the National Academy of Television Arts and Sciences, the Edward R. Murrow Award from the Radio Television News Director's Association, and the Individual Broadcast Achievement Award from the Texas Headliners' Foundation.