» Infinite Dimensional Analysis: A Hitchhiker's Guide
Infinite Dimensional Analysis: A Hitchhiker's Guide Details
Binding: PaperbackDewey Decimal Number: 515
EAN: 9783540326960
ISBN: 3540326960
Label: Springer
Manufacturer: Springer
Number Of Items: 1
Number Of Pages: 703
Publication Date: 2007-05-17
Publisher: Springer
Studio: Springer
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Summary: An excellent treatment of mathematical methods for economist
Comment: The monograph covers advanced mathematical methods for economists. It includes chapters on general topology, topological vector spaces, Riesz spaces and Banach lattices, measure and integration, etc. While the book does not contain (hardly) any economics, the mathematics covered is selected under the aspect of later applications to economics. The book contains for example a long chapter on correspondences, a topic which is hardly covered by any standard math book. The presentation of the mathematics is throughout clear and precise. The advantage of the book is that it covers a wide range of mathematical topics, which could not be found together in a book before. Graduate students in economic theory can use it as a text book, but it can also be used as a reference book. The only lacks of the book are that there are no exercises and that not all math areas important to economics (e.g. differential topology) are covered. Overall, this is an excellent book and should become part of the library of everybody interested in mathematical economics.
Editorial Review for Infinite Dimensional Analysis: A Hitchhiker's Guide:
This monograph presents a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but does not have an extensive background and does not plan to make a career as a functional analyst. It develops the topological structures in connection with measure theory, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied.



