Introductory functional analysis with applications

Erwin Kreyszig

Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.

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[目次]

  • Metric Spaces. Normed Spaces
  • Banach Spaces. Inner Product Spaces
  • Hilbert Spaces. Fundamental Theorems for Normed and Banach Spaces. Further Applications: Banach Fixed Point Theorem. Spectral Theory of Linear Operators in Normed Spaces. Compact Linear Operators on Normed Spaces and Their Spectrum. Spectral Theory of Bounded Self--Adjoint Linear Operators. Unbounded Linear Operators in Hilbert Space. Unbounded Linear Operators in Quantum Mechanics. Appendices. References. Index.

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この本の情報

書名 Introductory functional analysis with applications
著作者等 Kreyszig, Erwin
シリーズ名 Wiley classics library
出版元 Wiley
刊行年月 1989 ,c1978
ページ数 xiv, 688 p.
大きさ 24 cm
ISBN 0471504599
0471507318
NCID BA06819486
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言語 英語
出版国 アメリカ合衆国
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