Mathematical Methods for Economic Theory 2

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53,49 

Studies in Economic Theory 10

ISBN: 3540662421
ISBN 13: 9783540662426
Autor: Moore, James C
Verlag: Springer Verlag GmbH
Umfang: x, 339 S.
Erscheinungsdatum: 19.10.1999
Auflage: 1/1999
Format: 2.5 x 24 x 16.5
Gewicht: 678 g
Produktform: Gebunden/Hardback
Einband: GEB

Both a textbook for graduate students and a reference work for scholarsThe order of topics is adopted to the needs of economistsIncludes many useful examples

Artikelnummer: 1468156 Kategorie:

Beschreibung

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 in economics, 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. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces

Inhaltsverzeichnis

An Introduction to Topology.- Basic Concepts.- Closed Sets and Closures.- Topological Bases.- Continuous Functions.- Metric Spaces.- Complete Metric Spaces.- Nets and Convergence.- Additional Topics in Topology.- Relative and Product Topologies.- Compactness.- Hausdorff and Normal Spaces.- Compact Metric Spaces.- Connected Spaces.- Paracompactness and Partitions of Unity.- Correspondences.- Preliminary Considerations.- Hemi-Continuous Correspondences.- Correspondences Defined by Functions.- Closed Correspondences.- The Domain and Range of Correspondences.- Compositions of Correspondences.- Operations with Correspondences.- Correspondences into Metric Spaces.- Open Correspondences and Open Sections.- Banach Spaces.- Preliminaries.- An Introduction to Banach Spaces.- Bounded Linear Mappings.- Some Fundamental Theorems.- Dual Spaces.- Topological Vector Spaces.- Introduction.- Continuous Functions and Convex Sets.- Separation Theorems.- Equilibrium Models in Hilbert Space.- Locally Convex Spaces.- Correspondences.- Selection and Fixed Point Theorems.- Maximum Theorems.- Sperners Lemma and the K-K-M Theorem.- Fixed Point Theorems.- Selection Theorems.- Equilibrium in an "Abstract Economy".

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