Mathematical analysis : linear and metric structures and continuity
著者
書誌事項
Mathematical analysis : linear and metric structures and continuity
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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