Nonlinear Functional Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1985
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods |
| Beschreibung: | 1 Online-Ressource (XIV, 450p. 35 illus) |
| ISBN: | 9783662005477 9783662005491 |
| DOI: | 10.1007/978-3-662-00547-7 |
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Datensatz im Suchindex
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| classification_tum | MAT 000 |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-00547-7 |
| format | Electronic eBook |
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| id | DE-604.BV042423178 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783662005477 9783662005491 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858595 |
| oclc_num | 863928071 |
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| physical | 1 Online-Ressource (XIV, 450p. 35 illus) |
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| publishDate | 1985 |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Deimling, Klaus Verfasser aut Nonlinear Functional Analysis by Klaus Deimling Berlin, Heidelberg Springer Berlin Heidelberg 1985 1 Online-Ressource (XIV, 450p. 35 illus) txt rdacontent c rdamedia cr rdacarrier topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods Mathematics Global analysis (Mathematics) Analysis Mathematik Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Nichtlineare Funktionalanalysis (DE-588)4042093-0 s 1\p DE-604 Operatortheorie (DE-588)4075665-8 s 2\p DE-604 https://doi.org/10.1007/978-3-662-00547-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Deimling, Klaus Nonlinear Functional Analysis Mathematics Global analysis (Mathematics) Analysis Mathematik Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4042093-0 (DE-588)4075665-8 |
| title | Nonlinear Functional Analysis |
| title_auth | Nonlinear Functional Analysis |
| title_exact_search | Nonlinear Functional Analysis |
| title_full | Nonlinear Functional Analysis by Klaus Deimling |
| title_fullStr | Nonlinear Functional Analysis by Klaus Deimling |
| title_full_unstemmed | Nonlinear Functional Analysis by Klaus Deimling |
| title_short | Nonlinear Functional Analysis |
| title_sort | nonlinear functional analysis |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Nichtlineare Funktionalanalysis Operatortheorie |
| url | https://doi.org/10.1007/978-3-662-00547-7 |
| work_keys_str_mv | AT deimlingklaus nonlinearfunctionalanalysis |