The book provides a detailed treatment of the essentials of Banach spaces, Hilbert spaces, Banach algebras, and locally convex spaces. The material developed here should prepare the reader for the study of a variety of topics in mathematics including differential equations, distribution theory, and abstract Fourier analysis, as well as areas in theoretical physics and the applied sciences.
The book assumes that the reader has an undergraduate background in real analysis and an acquaintance with basic linear algebra and properties of complex numbers. Metric spaces, general topology, and integration are developed in detail in the first two chapters.
The book should be of use to advanced undergraduates and first-year graduate students, and is also suitable for self-study. There are over 500 exercises to reinforce the material in the text, including exercises of independent interest. Hints are provided for the more difficult exercises, and complete solutions to selected problems are given in an appendix.
| ISBN: | 9783119149976 |
| Publication date: | 2nd November 2026 |
| Author: | Hugo D Junghenn |
| Publisher: | De Gruyter |
| Format: | Paperback |
| Pagination: | 384 pages |
| Series: | De Gruyter Textbook |
| Genres: |
Applied mathematics |
The book provides a detailed treatment of the essentials of Banach spaces, Hilbert spaces, Banach algebras, and locally convex spaces. The material developed here should prepare the reader for the study of a variety of topics in mathematics including differential equations, distribution theory, and abstract Fourier analysis, as well as areas in theoretical physics and the applied sciences.The book assumes that the reader has an undergraduate background in real analysis and an acquaintance with basic linear algebra and properties of complex numbers. Metric spaces, general topology, and integration are developed in detail in the first two chapters.The book should be of use to advanced undergraduates and first-year graduate students, and is also suitable for self-study. There are over 500 exercises to reinforce the material in the text, including exercises of independent interest.
A Course in Functional Analysis features in the following genres: Applied mathematics
Paperback. £65.70, down from the £73.00 cover price. Not Available.
A Course in Functional Analysis was written by Hugo D Junghenn and published by De Gruyter
A Course in Functional Analysis has 384 pages
Yes it is part of De Gruyter Textbook series
£65.70, reduced from £73.00. Not Available.