Principles of Analysis - Couverture souple

Junghenn, Hugo D.

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

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 Analysis. 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
2023
Langue
anglais
ISBN 10 
1032476214
ISBN 13 
9781032476216
Reliure
Broché
Nombre de pages
540
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781498773287: Principles of Analysis

Edition présentée

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