Functional analysis in mechanics:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461458678 9781461458685 |
| DOI: | 10.1007/978-1-4614-5868-5 |
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Datensatz im Suchindex
| _version_ | 1804149794350825472 |
|---|---|
| adam_text | FUNCTIONAL ANALYSIS IN MECHANICS
/ LEBEDEV, LEONID P.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
METRIC, BANACH, AND HILBERT SPACES
MECHANICS PROBLEMS FROM THE FUNCTIONAL ANALYSIS VIEWPOINT
SOME SPECTRAL PROBLEMS OF MECHANICS
ELEMENTS OF NONLINEAR FUNCTIONAL ANALYSIS
SUMMARY OF INEQUALITIES AND IMBEDDINGS
HINTS FOR SELECTED PROBLEMS
REFERENCES
IN MEMORIAM: IOSIF I. VOROVICH
INDEX.-
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FUNCTIONAL ANALYSIS IN MECHANICS
/ LEBEDEV, LEONID P.
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK OFFERS A BRIEF, PRACTICALLY COMPLETE, AND RELATIVELY SIMPLE
INTRODUCTION TO FUNCTIONAL ANALYSIS. IT ALSO ILLUSTRATES THE APPLICATION
OF FUNCTIONAL ANALYTIC METHODS TO THE SCIENCE OF CONTINUUM MECHANICS.
ABSTRACT BUT POWERFUL MATHEMATICAL NOTIONS ARE TIGHTLY INTERWOVEN WITH
PHYSICAL IDEAS IN THE TREATMENT OF NONTRIVIAL BOUNDARY VALUE PROBLEMS
FOR MECHANICAL OBJECTS. THIS SECOND EDITION INCLUDES MORE EXTENDED
COVERAGE OF THE CLASSICAL AND ABSTRACT PORTIONS OF FUNCTIONAL ANALYSIS.
TAKEN TOGETHER, THE FIRST THREE CHAPTERS NOW CONSTITUTE A REGULAR TEXT
ON APPLIED FUNCTIONAL ANALYSIS. THIS POTENTIAL USE OF THE BOOK IS
SUPPORTED BY A SIGNIFICANTLY EXTENDED SET OF EXERCISES WITH HINTS AND
SOLUTIONS. A NEW APPENDIX, PROVIDING A CONVENIENT LISTING OF ESSENTIAL
INEQUALITIES AND IMBEDDING RESULTS, HAS BEEN ADDED. THE BOOK SHOULD
APPEAL TO GRADUATE STUDENTS AND RESEARCHERS IN PHYSICS, ENGINEERING, AND
APPLIED MATHEMATICS. REVIEWS OF FIRST EDITION: THIS BOOK COVERS
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS TO CONTINUUM MECHANICS. THE
PRESENTATION IS CONCISE BUT COMPLETE, AND IS INTENDED FOR READERS IN
CONTINUUM MECHANICS WHO WISH TO UNDERSTAND THE MATHEMATICAL
UNDERPINNINGS OF THE DISCIPLINE. . . . DETAILED SOLUTIONS OF THE
EXERCISES ARE PROVIDED IN AN APPENDIX. (L’ENSEIGNMENT MATHEMATIQUE,
VOL. 49 (1-2), 2003) THE READER COMES AWAY WITH A PROFOUND
APPRECIATION BOTH OF THE PHYSICS AND ITS IMPORTANCE, AND OF THE BEAUTY
OF THE FUNCTIONAL ANALYTIC METHOD, WHICH, IN SKILLFUL HANDS, HAS THE
POWER TO DISSOLVE AND CLARIFY THESE DIFFICULT PROBLEMS AS PEROXIDE DOES
CLOTTED BLOOD. NUMEROUS EXERCISES. . .TEST THE READER’S
COMPREHENSION AT EVERY STAGE. SUMMING UP: RECOMMENDED. (F. E. J.
LINTON, CHOICE, SEPTEMBER, 2003)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001 Cloud, Michael J. 1960- |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-5868-5 |
| edition | 2. ed. |
| format | Electronic eBook |
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| series2 | Springer monographs in mathematics |
| spelling | Lebedev, Leonid P. 1946- Verfasser (DE-588)124355560 aut Functional analysis in mechanics Leonid P. Lebedev ; Iosif I. Vorovich ; Michael J. Cloud 2. ed. New York [u.a.] Springer 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics Funktionalanalysis - Kontinuumsmechanik Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Metrischer Raum (DE-588)4169745-5 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Funktionalanalysis (DE-588)4018916-8 s DE-604 Mechanik (DE-588)4038168-7 s Angewandte Mathematik (DE-588)4142443-8 s Metrischer Raum (DE-588)4169745-5 s Operatortheorie (DE-588)4075665-8 s 1\p DE-604 Vorovič, Iosif I. 1920-2001 Verfasser (DE-588)120780178 aut Cloud, Michael J. 1960- Verfasser (DE-588)120264242 aut https://doi.org/10.1007/978-1-4614-5868-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025494565&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025494565&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lebedev, Leonid P. 1946- Vorovič, Iosif I. 1920-2001 Cloud, Michael J. 1960- Functional analysis in mechanics Funktionalanalysis - Kontinuumsmechanik Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd Mechanik (DE-588)4038168-7 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Operatortheorie (DE-588)4075665-8 gnd Metrischer Raum (DE-588)4169745-5 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4038168-7 (DE-588)4142443-8 (DE-588)4032296-8 (DE-588)4075665-8 (DE-588)4169745-5 |
| title | Functional analysis in mechanics |
| title_auth | Functional analysis in mechanics |
| title_exact_search | Functional analysis in mechanics |
| title_full | Functional analysis in mechanics Leonid P. Lebedev ; Iosif I. Vorovich ; Michael J. Cloud |
| title_fullStr | Functional analysis in mechanics Leonid P. Lebedev ; Iosif I. Vorovich ; Michael J. Cloud |
| title_full_unstemmed | Functional analysis in mechanics Leonid P. Lebedev ; Iosif I. Vorovich ; Michael J. Cloud |
| title_short | Functional analysis in mechanics |
| title_sort | functional analysis in mechanics |
| topic | Funktionalanalysis - Kontinuumsmechanik Functional analysis Funktionalanalysis (DE-588)4018916-8 gnd Mechanik (DE-588)4038168-7 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Operatortheorie (DE-588)4075665-8 gnd Metrischer Raum (DE-588)4169745-5 gnd |
| topic_facet | Funktionalanalysis - Kontinuumsmechanik Functional analysis Funktionalanalysis Mechanik Angewandte Mathematik Kontinuumsmechanik Operatortheorie Metrischer Raum |
| url | https://doi.org/10.1007/978-1-4614-5868-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025494565&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025494565&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lebedevleonidp functionalanalysisinmechanics AT voroviciosifi functionalanalysisinmechanics AT cloudmichaelj functionalanalysisinmechanics |