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Buchumschlag
Gespeichert in:
Bibliographische Detailangaben
Beteiligte Personen: Lebedev, Leonid P. 1946- (VerfasserIn), Vorovič, Iosif I. 1920-2001 (VerfasserIn), Cloud, Michael J. 1960- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: New York [u.a.] Springer
Ausgabe:2. ed.
Schriftenreihe:Springer monographs in mathematics
Schlagwörter:
Funktionalanalysis - Kontinuumsmechanik
Functional analysis
Funktionalanalysis
Mechanik
Angewandte Mathematik
Kontinuumsmechanik
Operatortheorie
Metrischer Raum
Links:https://doi.org/10.1007/978-1-4614-5868-5
https://doi.org/10.1007/978-1-4614-5868-5
https://doi.org/10.1007/978-1-4614-5868-5
https://doi.org/10.1007/978-1-4614-5868-5
https://doi.org/10.1007/978-1-4614-5868-5
https://doi.org/10.1007/978-1-4614-5868-5
https://doi.org/10.1007/978-1-4614-5868-5
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ISBN:9781461458678
9781461458685
DOI:10.1007/978-1-4614-5868-5
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Datensatz im Suchindex

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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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(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
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