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Functional analysis and its applications

Functional analysis and its applications

Functional analysis and its applications

Functional analysis plays an important role in the applied sciences as well as in mathematics itself. These notes are intended to familiarize the student with the basic concepts, principles andmethods of functional analysis and its applications, and they are intended for senior undergraduate or beginning graduate students. Topics covered includes: Normed and Banach spaces, Continuous maps, Differentiation, Geometry of inner product spaces , Compact operators and Approximation of compact operators.

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s92 Pages
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Functional analysis and its applications

Functional analysis and its applications

Functional analysis plays an important role in the applied sciences as well as in mathematics itself. These notes are intended to familiarize the student with the basic concepts, principles andmethods of functional analysis and its applications, and they are intended for senior undergraduate or beginning graduate students. Topics covered includes: Normed and Banach spaces, Continuous maps, Differentiation, Geometry of inner product spaces , Compact operators and Approximation of compact operators.

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