eBook - ePub

Principles of Analysis

Name: Principles of Analysis
ISBN: 9781498773300

Measure, Integration, Functional Analysis, and Applications

Hugo D. Junghenn,

520 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Principles of Analysis

Measure, Integration, Functional Analysis, and Applications

Hugo D. Junghenn,

About this book

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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Yes, you can access Principles of Analysis by Hugo D. Junghenn in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.