Buch, Englisch, 540 Seiten, Format (B × H): 177 mm x 253 mm, Gewicht: 988 g
Measure, Integration, Functional Analysis, and Applications
Buch, Englisch, 540 Seiten, Format (B × H): 177 mm x 253 mm, Gewicht: 988 g
ISBN: 978-1-03-247621-6
Verlag: Taylor & Francis Ltd
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.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Measurable Sets. Measurable Functions. Integration. Further Topics in Measure Theory. Banach Spaces. Hilbert Spaces. Locally Convex Spaces. Banach Algebras. Harmonic Analysis on Locally Compact Groups. Probability Theory. Operator Theory. Appendices.