Neuware - Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. Numerous exercises and worked examples.1973 edition.

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Bibliographic Details

Title: Basic Methods of Linear Functional Analysis
Publisher: Dover Publications Okt 2011
Publication Date: 2011
Language: English
ISBN 10: 0486483843
ISBN 13: 9780486483849
Binding: Taschenbuch
Condition: Neu
Dimensions: 222 millimeters width by 139 millimeters height by 23 millimeters depth
Weight: 327 grams

About this title

Synopsis

An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.
Subsequent chapters explore the basic results of linear functional analysis: Stone-Weierstrass, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function spaces, the Tychonov and Alaoglu theorems, Hilbert spaces, elementary Fourier analysis, and compact self-adjoint operators applied to Sturm-Liouville theory. "The author has a delightfully lively style which makes the book very readable," noted the Edinburgh Mathematical Society, "and there are numerous interesting and instructive problems."

About the Author

John D. Pryce is a Mathematics Professor at England's Cranfield University.

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