Buch, Englisch, Band 9, 414 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 645 g
Reihe: Studies in Economic Theory
Buch, Englisch, Band 9, 414 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 645 g
Reihe: Studies in Economic Theory
ISBN: 978-3-642-08550-5
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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.
