Principles of Analysis by Hugo D. Junghenn


ISBN
9781032476216
Published
Binding
Paperback
Pages
540
Dimensions
178 x 254mm

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.
EOFY 2025 Book Frenzy
87.54
RRP: $102.99
15% off RRP


This product is unable to be ordered online. Please check in-store availability.
Instore Price: $102.99
Enter your Postcode or Suburb to view availability and delivery times.

Other Titles by Hugo D. Junghenn


You might also like

What If2
24.99
21.24
15% Off
What If
45.00
38.25
15% Off
The Coming Wave
36.99
31.44
15% Off
The Shortest History of AI
27.99
23.79
15% Off

RRP refers to the Recommended Retail Price as set out by the original publisher at time of release.
The RRP set by overseas publishers may vary to those set by local publishers due to exchange rates and shipping costs.
Due to our competitive pricing, we may have not sold all products at their original RRP.