Functional Analysis Fundamentals and Applications
| Author/creator | Willem, Michel Author |
| Format | Electronic |
| Publication Info | CH-4055 Basel : Birkhauser Verlag GmbH Secaucus : Springer [Distributor] |
| Description | xiii, 213 p. ill 23.500 x 015.500 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International |
| Supplemental Content | Full text available from Springer Books |
| Series | Cornerstones Ser. |
| Summary | Annotation The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-SzegÅ' and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9781489987945 |
| ISBN | 1489987940 (Trade Paper) Active Record |
| Standard identifier# | 9781489987945 |
| Stock number | 10.1007/978-1-4614-7004-5 00145491 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |