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Inhaltsangabe
The book provides a detailed treatment of the essentials of Banach spaces, Hilbert spaces, Banach algebras, and locally convex spaces. The material developed here should prepare the reader for the study of a variety of topics in mathematics including differential equations, distribution theory, and abstract Fourier analysis, as well as areas in theoretical physics and the applied sciences.
The book assumes that the reader has an undergraduate background in real analysis and an acquaintance with basic linear algebra and properties of complex numbers. Metric spaces, general topology, and integration are developed in detail in the first two chapters.
The book should be of use to advanced undergraduates and first-year graduate students, and is also suitable for self-study. There are over 500 exercises to reinforce the material in the text, including exercises of independent interest. Hints are provided for the more difficult exercises, and complete solutions to selected problems are given in an appendix.
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Über die Autorin bzw. den Autor
Hugo D. Junghenn is a Professor of Mathematics at The George Washington University. His research interests include functional analysis, semigroups, and probability.
He has published numerous journal articles and is the author of several books, Discrete Mathematics with Coding, CRC Press, 2023, An Introduction to Financial Mathematics, CRC Press, 2019 Principles of Analysis, CRC Press, 2018, including A Course in Real Analysis, CRC Press, 2015 and Options Valuation: A First Course in Financial Mathematics, CRC Press, 2011
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A Course in Functional Analysis (De Gruyter Textbook)
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The purpose of this book is to provide a detailed treatment of the essential aspects of Banach spaces,Hilbert spaces and Banach algebras are needed for further study in areas such as dynamical systems,partial differential equations, and abstract Fourier analysis. The book assumes the reader has an undergraduate background in basic real analysis, including elementary set theory, limits, continuity, differentiation, and Riemann integration. An acquaintance with the properties of complex numbers is also assumed. Linear spaces, metric spaces, general topology, and integration are developed in detail in the appendices. The book contains numerous exercises to reinforce the material in the book, including exercises of independent interest. Hints are given for the more difficult exercises and solutions to odd-numbered exercises may be found in an appendix. The book should be of use to advanced undergraduates and first-year graduate students, as well as for self-study. 366 pp. Englisch. Bestandsnummer des Verkäufers 9783119149976
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Zustand: New. Hugo D. Junghenn is a Professor of Mathematics at The George Washington University. His research interests include functional analysis, semigroups, and probability. He has published numerous journal articles and is the author of several books, Dis. Bestandsnummer des Verkäufers 3383640522
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book provides a detailed treatment of the essentials of Banach spaces, Hilbert spaces, Banach algebras, and locally convex spaces. The material developed here should prepare the reader for the study of a variety of topics in mathematics including differential equations, distribution theory, and abstract Fourier analysis, as well as areas in theoretical physics and the applied sciences.The book assumes that the reader has an undergraduate background in real analysis and anacquaintance with basic linear algebra and properties of complex numbers. Metric spaces, general topology, and integration are developed in detail in the first two chapters.The book should be of use to advanced undergraduates and first-year graduate students, and is also suitable for self-study. There are over 500 exercises to reinforce the material in the text, including exercises of independent interest. Hints are provided for the more difficult exercises, and complete solutions to selected problems are given in an appendix. Bestandsnummer des Verkäufers 9783119149976
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Taschenbuch. Zustand: Neu. A Course in Functional Analysis | Hugo D. Junghenn | Taschenbuch | XVIII | Englisch | 2026 | De Gruyter | EAN 9783119149976 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 136971861
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