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OverviewA powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and ""do"" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material. Full Product DetailsAuthor: Terry J. Morrison (Gustavus Adolphus College, St. Peter, Minnesota)Publisher: John Wiley & Sons Inc Imprint: Wiley-Interscience Dimensions: Width: 16.30cm , Height: 2.30cm , Length: 24.60cm Weight: 0.710kg ISBN: 9780471372141ISBN 10: 0471372145 Pages: 376 Publication Date: 16 January 2001 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsPreface. Introduction. Basic Definitions and Examples. Basic Principles with Applications. Weak Topologies and Applications. Operators on Banach Spaces. Bases in Banach Spaces. Sequences, Series, and a Little Geometry in Banach Spaces. Bibliography. Author/Name Index. Subject Index Symbol Index.Reviews"""This textbook for a two-semester course in functional analysis presents the basic ideas, techniques, and methods that form the underpinnings of the discipline."" (SciTech Book News, Vol. 25, No. 3, September 2001) ""...a useful book which helps the student to understand Banach space theory."" (Mathematical Reviews, 2003a)" This textbook for a two-semester course in functional analysis presents the basic ideas, techniques, and methods that form the underpinnings of the discipline. (SciTech Book News, Vol. 25, No. 3, September 2001) ...a useful book which helps the student to understand Banach space theory. (Mathematical Reviews, 2003a) This textbook for a two--semester course in functional analysis presents the basic ideas, techniques, and methods that form the underpinnings of the discipline. (SciTech Book News, Vol. 25, No. 3, September 2001) ...a useful book which helps the student to understand Banach space theory. (Mathematical Reviews, 2003a) Author InformationTERRY J. MORRISON, PhD, is Associate Professor in the Department of Mathematics and Computer Science at Gustavus Adolphus College, St. Peter, Minnesota. Tab Content 6Author Website:Countries AvailableAll regions |