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Comprehensive Course in Analysis (Hardcover) (Barry Simon)

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This five-volume set serves as a graduate text for a second course in analysis and takes a unified approach to both real and complex analysis, allowing the use of notions like contour integrals as Stietljes integrals that cross the boundary between the two fields. The first three volumes cover point set topology, measure spaces, Hilbert and Banach spaces, distribution theory, the Fourier transform, and complex analysis. The last two volumes contain more optional material on maximal functions, Hardy spaces, the spectral theorem for bounded self-adjoint operators on a Hilbert space, and Banach algebras. Problems and historical remarks follow each section. The companion booklet compiles the tables of content and prefaces for all five volumes and provides an introduction to classical Fourier series. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
Genre: Mathematics
Sub-Genre: General
Format: Hardcover
Publisher: Amer Mathematical Society
Author: Barry Simon
Language: English
Street Date: December 21, 2015
TCIN: 50378506
UPC: 9781470410988
Item Number (DPCI): 248-06-2991

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