Mathematical analysis : linear and metric structures and continuity
Author(s)
Bibliographic Information
Mathematical analysis : linear and metric structures and continuity
Birkhäuser, c2007
- : pbk
Available at / 18 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
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]).
Description and Table of Contents
Description
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
Table of Contents
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.
by "Nielsen BookData"