Articoli correlati a Mathematical Methods for Economic Theory 2: 10
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
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Contenuti:
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.- Sperner`s Lemma and the K-K-M Theorem.- Fixed Point Theorems.- Selection Theorems.- Equilibrium in an 'Abstract Economy'.
Product Description:
Book by Moore James C
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- EditoreSpringer Verlag
- Data di pubblicazione1999
- ISBN 10 3540662421
- ISBN 13 9783540662426
- RilegaturaCopertina rigida
- Numero di pagine356
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Mathematical Methods for Economic Theory 2 (Studies in Economic Theory) [Hardcover ]
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Descrizione libro Hardcover. Condizione: new. Codice articolo 9783540662426
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Descrizione libro Condizione: New. Codice articolo ABLIING23Mar3113020174103
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Mathematical Methods for Economic Theory 2
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Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9783540662426_lsuk
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Mathematical Methods for Economic Theory 2
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Springer Berlin Heidelberg Okt 1999
(1999)
ISBN 10: 3540662421
ISBN 13: 9783540662426
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Descrizione libro Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The two-volume work is intended to function as a textbook for graduate students in economics as well as a reference work for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate student in economics, these 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. Volume Two 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. 356 pp. Englisch. Codice articolo 9783540662426
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Mathematical Methods for Economic Theory 2
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Springer Berlin Heidelberg
(1999)
ISBN 10: 3540662421
ISBN 13: 9783540662426
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Descrizione libro Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is the second of a two-volume work intended to function as a textbook well as a reference work for economic for graduate students in economics, as scholars who are either working in theory, or who have a strong interest in economic theory. While it is not necessary that a student read the first volume before tackling this one, it may make things easier to have done so. In any case, the student undertaking a serious study of this volume should be familiar with the theories of continuity, convergence and convexity in Euclidean space, and have had a fairly sophisticated semester's work in Linear Algebra. While I have set forth my reasons for writing these volumes in the preface to Volume 1 of this work, it is perhaps in order to repeat that explanation here. I have undertaken this project for three principal reasons. In the first place, I have collected a number of results which are frequently useful in economics, but for which exact statements and proofs are rather difficult to find; for example, a number of results on convex sets and their separation by hyperplanes, some results on correspondences, and some results concerning support functions and their duals. Secondly, while the mathematical top ics taken up in these two volumes are generally taught somewhere in the mathematics curriculum, they are never (insofar as I am aware) done in a two-course sequence as they are arranged here. Codice articolo 9783540662426
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Mathematical Methods for Economic Theory 2
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ISBN 13: 9783540662426
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Descrizione libro Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. - Both a textbook for graduate students and a reference work for scholars- The order of topics is adopted to the needs of economists- Includes many useful examplesThis two-volume work functions both as a textbook for graduates and as a reference. Codice articolo 4897598
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