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Sinopsis
Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers’ benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis.
The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter .
Features:
- Contains direct and concise proofs with attention to detail
- Features a substantial variety of interesting and nontrivial examples
- Includes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercises
- Provides an eclectic set of special topics and applications
About the Author:
Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.
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Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability.
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
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Taylor & Francis Ltd, 2023
ISBN 10: 1032476214
ISBN 13: 9781032476216
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
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Chapman and Hall/CRC, 2023
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ISBN 13: 9781032476216
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
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ISBN 13: 9781032476216
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Principles of Analysis
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ISBN 13: 9781032476216
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
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Taylor & Francis Ltd, 2023
ISBN 10: 1032476214
ISBN 13: 9781032476216
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Principles of Analysis
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Taylor & Francis Ltd Jan 2023, 2023
ISBN 10: 1032476214
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers for advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. The book also helps them prepare for qualifying exams in real analysis. It is designed so that the reader or instructor may select topics suitable to their needs. The author presents the text in a clear and straightforward manner for the readers' benefit. At the same time, the text is a thorough and rigorous examination of the essentials of measure, integration and functional analysis.The book includes a wide variety of detailed topics and serves as a valuable reference and as an efficient and streamlined examination of advanced real analysis. The text is divided into four distinct sections: Part I develops the general theory of Lebesgue integration; Part II is organized as a course in functional analysis; Part III discusses various advanced topics, building on material covered in the previous parts; Part IV includes two appendices with proofs of the change of the variable theorem and a joint continuity theorem. Additionally, the theory of metric spaces and of general topological spaces are covered in detail in a preliminary chapter .Features:Contains direct and concise proofs with attention to detailFeatures a substantial variety of interesting and nontrivial examplesIncludes nearly 700 exercises ranging from routine to challenging with hints for the more difficult exercisesProvides an eclectic set of special topics and applicationsAbout the Author:Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics and A Course in Real Analysis. His research interests include functional analysis, semigroups, and probability. 540 pp. Englisch. Nº de ref. del artículo: 9781032476216
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
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Chapman and Hall/CRC, 2023
ISBN 10: 1032476214
ISBN 13: 9781032476216
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
Publicado por
Taylor & Francis Ltd, 2023
ISBN 10: 1032476214
ISBN 13: 9781032476216
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Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
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Paperback. Condición: Brand New. 540 pages. 10.00x7.00x1.26 inches. In Stock. Nº de ref. del artículo: __1032476214
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