Mathematical Methods for Economic Theory 1

By: James C. Moore

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Hardcover | 19 October 1999

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436 Pages

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23.5 x 15.88 x 2.54

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This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. Volume One covers basic set theory, sequences and series, continuous and semi-continuous functions, an introduction to general linear spaces, basic convexity theory, and applications to economics.

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Non-Fiction Economics Economic Theory & Philosophy Reference, Information & Interdisciplinary Subjects Encyclopaedias & Reference Works Reference Works Mathematics Applied Mathematics Econometrics

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Published: 15th December 2010

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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
Table of Contents provided by Publisher. All Rights Reserved.

Mathematical Methods for Economic Theory 1

At a Glance

Hardcover

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How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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