Item description for Infinite Dimensional Analysis: A Hitchhiker's Guide by Charalambos D. Aliprantis & Kim C. Border...
Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. What readers will find in this monograph is nothing less than 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 who does not have an extensive background in the subject 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.
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Est. Packaging Dimensions: Length: 1.5" Width: 6.25" Height: 9.25" Weight: 2.36 lbs.
Release Date May 17, 2007
ISBN 3540326960 ISBN13 9783540326960
Availability 0 units.
More About Charalambos D. Aliprantis & Kim C. Border
Charalambos D. Aliprantis currently resides in the state of Indiana. Charalambos D. Aliprantis has an academic affiliation as follows - Purdue University.
Reviews - What do customers think about Infinite Dimensional Analysis: A Hitchhiker's Guide?
An excellent treatment of mathematical methods for economist Oct 19, 1998
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.