Mathematical analysis : linear and metric structures and continuity

書誌事項

Mathematical analysis : linear and metric structures and continuity

Mariano Giaquinta, Giuseppe Modica

Birkhäuser, c2007

  • : pbk

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注記

Includes bibliographical references (p. [457]) and index

There is a book of page 467. The difference is a mistake, it same name appears 2 times in "A. Mathematicians and Other Scientists" (p. [455]).

内容説明・目次

内容説明

Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level Includes applications to geometry and differential equations, numerous beautiful illustrations, examples, exercises, historical notes, and comprehensive index May be used in graduate seminars and courses or as a reference text by mathematicians, physicists, and engineers

目次

Linear Algebra.- Vectors, Matrices and Linear Systems.- Vector Spaces and Linear Maps.- Euclidean and Hermitian Spaces.- Self-Adjoint Operators.- Metrics and Topology.- Metric Spaces and Continuous Functions.- Compactness and Connectedness.- Curves.- Some Topics from the Topology of ?n.- Continuity in Infinite-Dimensional Spaces.- Spaces of Continuous Functions, Banach Spaces and Abstract Equations.- Hilbert Spaces, Dirichlet's Principle and Linear Compact Operators.- Some Applications.

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