You May Also Like
Sponsored
Sold by Mighty Ape
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.
Author Biography
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.
We are committed to protecting your rights under the Consumer Guarantees Act and working with our suppliers to assist with warranty claims. Products sold by Mighty Ape will be covered by a Manufacturer's Warranty for at least a one-year period from the date of purchase.
Your warranty will cover any manufacturing defects which, if existing, will present themselves within this warranty period.
Your warranty will not cover normal wear and tear, faults caused by misuse, and accidents which cause damage or theft caused after delivery. Using the product in a way it is not designed for will void your warranty.
Please refer to our Help Centre for more information.
