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- catalog abstract ""The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators relating these points as linear transformations on these spaces. The author presents the basics of functional analysis with attention paid to both expository style and technical detail, while getting to interesting results as quickly as possible. The book is accessible to students who have completed first courses in linear algebra and real analysis. Topics are developed in their historical context, with accounts of the past - including biographies - appearing throughout the text. The book offers suggestions and references for further study, and many exercises."--Jacket.".
- catalog contributor b12422663.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description ""The unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators relating these points as linear transformations on these spaces. The author presents the basics of functional analysis with attention paid to both expository style and technical detail, while getting to interesting results as quickly as possible. The book is accessible to students who have completed first courses in linear algebra and real analysis. Topics are developed in their historical context, with accounts of the past - including biographies - appearing throughout the text. The book offers suggestions and references for further study, and many exercises."--Jacket.".
- catalog description "Includes bibliographical references (p. [187]-191) and index.".
- catalog description "Introduction: To the Student -- 1. Metric Spaces, Normed Spaces, Inner Product Spaces -- 2. Topology of Metric Spaces -- 3. Measure and Integration -- 4. Fourier Analysis in Hilbert Space -- 5. Introduction to Abstract Linear Operator Theory -- 6. Further Topics -- A. Complex Numbers -- B. Basic Set Theory.".
- catalog extent "xi, 197 p. :".
- catalog identifier "0387952241 (alk. paper)".
- catalog isPartOf "Undergraduate texts in mathematics".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.7 21".
- catalog subject "Functional analysis.".
- catalog subject "QA320 .S28 2002".
- catalog tableOfContents "Introduction: To the Student -- 1. Metric Spaces, Normed Spaces, Inner Product Spaces -- 2. Topology of Metric Spaces -- 3. Measure and Integration -- 4. Fourier Analysis in Hilbert Space -- 5. Introduction to Abstract Linear Operator Theory -- 6. Further Topics -- A. Complex Numbers -- B. Basic Set Theory.".
- catalog title "Beginning functional analysis / Karen Saxe.".
- catalog type "text".