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基本説明
Designed to provide the reader with a solid foundation of the entire spectrum of functional analysis, the book will be primarily of interest to graduate students in: applied mathematics, all branches of engineering, physical and economical sciences.
Full Description
Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with certain properties, which map one set into another. Functional analysis became one of the success stories of mathematics in the 20th century, in the search for generality and unification.
Contents
I Preliminaries.- II Linear Vector Spaces.- III Introduction to Real Analysis.- IV Topological Spaces.- V Metric Spaces.- VI Normed Spaces.- VII Inner Product Spaces.- VIII Spectral Theory of Linear Operators.- IX Differentiation of Operators.- References.- Index of Symbols.- Name Index.