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Classical and Discrete Functional Analysis with Measure Theory (London Mathematical Society Student Texts, Series Number 101) - Softcover
Synopsis
Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.
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About the Author
Martin Buntinas is Professor Emeritus in the Department of Mathematics and Statistics at Loyola University Chicago, where he served as the chair of the Department of Mathematical & Computer Sciences from 1992 to 1998. He publishes in the areas of functional analysis, sequence spaces, Fourier series, and approximation theory. He has been a Humboldt and a Fulbright Senior Scholar, and has organized numerous international conferences in sequence spaces.
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Classical and Discrete Functional Analysis with Measure Theory (London Mathematical Society Student Texts, Series Number 101)
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Classical and Discrete Functional Analysis with Measure Theory (London Mathematical Society Student Texts, Series Number 101)
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Classical and Discrete Functional Analysis with Measure Theory (London Mathematical Society Student Texts, Series Number 101)
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Classical and Discrete Functional Analysis with Measure Theory (London Mathematical Society Student Texts, Series Number 101)
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ISBN 10: 1107634881
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Classical and Discrete Functional Analysis with Measure Theory (London Mathematical Society Student Texts, Series Number 101)
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Classical and Discrete Functional Analysis with Measure Theory (Paperback)
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Paperback. Condition: new. Paperback. Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries. This book concentrates on discrete aspects of functional analysis, including Fourier series, sequence spaces, and matrix maps. It is suitable for advanced undergraduates and above, and is an excellent textbook for capstone courses in mathematical analysis as well as beginning graduate courses in measure theory and functional analysis. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107634886
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Classical and Discrete Functional Analysis with Measure Theory
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Classical and Discrete Functional Analysis with Measure Theory (London Mathematical Society Student Texts, Series Number 101)
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