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Other titles in the Dover Books on Mathematics series:
Functional Analysisby George Bachman
Synopses & ReviewsPublisher Comments:Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to innerproduct spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the HahnBanach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related subjects. Chapters conclude with exercises intended to test and reinforce readers understanding of text material. A glossary of definitions, detailed proofs of theorems, bibliography, and index of symbols round out this comprehensive text. 1966 edition. Synopsis:Text covers introduction to innerproduct spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the HahnBanach Theorem and its consequences, and many other related subjects. 1966 edition. Synopsis:Excellent treatment of subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to innerproduct spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the HahnBanach Theorem and its consequences, and many other related subjects. Includes detailed proofs of theorems, bibliography, and index of symbols. 1966 edition. Description:Includes bibliographical references (p. 523) and indexes.
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