Sinossi
Conway (mathematics, George Washington U.) presents a textbook for a year-long course with a semester of measure theory followed by a semester of functional analysis to prepare first-year graduate students for the PhD qualifying examination. Students are assumed to be familiar with the basic properties of metric spaces, in particular the concepts of compactness, connectedness, continuity, uniform continuity, and the surrounding results on these topics. Among his topics are elements of measure theory, a Hilbert space interlude, linear transformations, locally convex spaces, and Banach algebras and spectral theory. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)
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A Course in Abstract Analysis (Graduate Studies in Mathematics, Vol. 141)
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American Mathematical Society, 2012
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ISBN 13: 9780821890837
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A Course in Abstract Analysis
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Hardback. Condizione: New. This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises. Codice articolo LU-9780821890837
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A Course in Abstract Analysis (Graduate Studies in Mathematics, Vol. 141)
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American Mathematical Society, 2012
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ISBN 13: 9780821890837
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A Course in Abstract Analysis
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American Mathematical Society, US, 2012
ISBN 10: 0821890832
ISBN 13: 9780821890837
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Hardback. Condizione: New. This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises. Codice articolo LU-9780821890837
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