Nonlinear functional analysis and its applications: 3 Variational Methods and Optimization
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
1985
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation |
| Beschreibung: | 1 Online-Ressource (XXII, 662 S.) |
| ISBN: | 9781461250203 9781461295297 |
| DOI: | 10.1007/978-1-4612-5020-3 |
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| 500 | |a As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation | ||
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Datensatz im Suchindex
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| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-5020-3 |
| format | Electronic eBook |
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| id | DE-604.BV042507442 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:23:37Z |
| institution | BVB |
| isbn | 9781461250203 9781461295297 |
| language | English |
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| spelling | Zeidler, Eberhard 1940-2016 Verfasser (DE-588)121295869 aut Vorlesungen über nichtlineare Funktionalanalysis Nonlinear functional analysis and its applications 3 Variational Methods and Optimization Eberhard Zeidler New York, NY [u.a.] Springer 1985 1 Online-Ressource (XXII, 662 S.) txt rdacontent c rdamedia cr rdacarrier As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik (DE-604)BV042507225 3 https://doi.org/10.1007/978-1-4612-5020-3 Verlag Volltext |
| spellingShingle | Zeidler, Eberhard 1940-2016 Nonlinear functional analysis and its applications Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik |
| title | Nonlinear functional analysis and its applications |
| title_alt | Vorlesungen über nichtlineare Funktionalanalysis |
| title_auth | Nonlinear functional analysis and its applications |
| title_exact_search | Nonlinear functional analysis and its applications |
| title_full | Nonlinear functional analysis and its applications 3 Variational Methods and Optimization Eberhard Zeidler |
| title_fullStr | Nonlinear functional analysis and its applications 3 Variational Methods and Optimization Eberhard Zeidler |
| title_full_unstemmed | Nonlinear functional analysis and its applications 3 Variational Methods and Optimization Eberhard Zeidler |
| title_short | Nonlinear functional analysis and its applications |
| title_sort | nonlinear functional analysis and its applications variational methods and optimization |
| topic | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Mathematik |
| url | https://doi.org/10.1007/978-1-4612-5020-3 |
| volume_link | (DE-604)BV042507225 |
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