Basic Methods of Linear Functional Analysis (Dover Books on Mathematics) - Softcover

John D. Pryce

 
9780486483849: Basic Methods of Linear Functional Analysis (Dover Books on Mathematics)
Softcover
ISBN 10: 0486483843 ISBN 13: 9780486483849
Publisher: Dover, 2011

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."

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About the Author

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

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Publisher
Dover
Publication date
2011
Language
English
ISBN 10 
0486483843
ISBN 13 
9780486483849
Binding
Paperback
Number of pages
320

Other Popular Editions of the Same Title

9780091134105: Basic methods of linear functional analysis (Pure mathematics)

Featured Edition

ISBN 10:  0091134102 ISBN 13:  9780091134105
Publisher: Hutchinson, 1973
Hardcover