Principles of Analysis - Couverture rigide

Junghenn, Hugo D.

 
9781498773287: Principles of Analysis
Couverture rigide
ISBN 10 : 1498773281 ISBN 13 : 9781498773287
Editeur : Chapman and Hall/CRC, 2018

Synopsis

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.

    Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l?auteur

    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.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    Chapman and Hall/CRC
    Date d'édition
    2018
    Langue
    anglais
    ISBN 10 
    1498773281
    ISBN 13 
    9781498773287
    Reliure
    Relié
    Nombre de pages
    520
    Coordonnées du fabricant
    non disponible
    Personne responsable
    gpsr@libri.de
    gpsr@libri.de

    Friedensallee 273
    Hamburg
    22763
    Allemagne

    Autres éditions populaires du même titre

    9781032476216: Principles of Analysis

    Edition présentée

    ISBN 10 :  1032476214 ISBN 13 :  9781032476216
    Editeur : Chapman and Hall/CRC, 2023
    Couverture souple