Principles of Analysis: Measure, Integration, Functional Analysis, and Applications - Hardcover

Junghenn, Hugo D.

 
9781498773287: Principles of Analysis: Measure, Integration, Functional Analysis, and Applications
Hardcover
ISBN 10: 1498773281 ISBN 13: 9781498773287
Verlag: Chapman and Hall/CRC, 2018

Inhaltsangabe

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 Analysi

    s. His research interests include functional analysis, semigroups, and probability.

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    Über die Autorin bzw. den Autor

    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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    Verlag
    Chapman and Hall/CRC
    Erscheinungsdatum
    2018
    Sprache
    Englisch
    ISBN 10 
    1498773281
    ISBN 13 
    9781498773287
    Einband
    Gebundene Ausgabe
    Auflage
    1
    Anzahl der Seiten
    540
    Kontakt zum Hersteller
    Nicht verfügbar
    Verantwortliche Person
    Nicht verfügbar

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