Variational Methods in Theoretical Mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1976
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduate-level course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. He also gratefully acknowledge that much of our own research work on variational theory was supported by the U.S. Air Force Office of Scientific Research. He are indebted to Mr. Ming-Goei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and pains taking job of typing the manuscript. J. T. ODEN J. N. REDDY Table of Contents PREFACE 1. INTRODUCTION 1.1 The Role of Variational Theory in Mechanics. 1 1.2 Some Historical Comments ......... . 2 1.3 Plan of Study ............... . 5 7 2. MATHEMATICAL FOUNDATIONS OF CLASSICAL VARIATIONAL THEORY 7 2.1 Introduction . . . . . . . |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642963124 9783540076001 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-642-96312-4 |
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Datensatz im Suchindex
| _version_ | 1804153098549067776 |
|---|---|
| any_adam_object | |
| author | Oden, J. T. |
| author_facet | Oden, J. T. |
| author_role | aut |
| author_sort | Oden, J. T. |
| author_variant | j t o jt jto |
| building | Verbundindex |
| bvnumber | BV042423141 |
| classification_tum | MAT 000 PHY 013f PHY 200f |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)905378639 (DE-599)BVBBV042423141 |
| dewey-full | 620 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620 |
| dewey-search | 620 |
| dewey-sort | 3620 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-3-642-96312-4 |
| format | Electronic eBook |
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| id | DE-604.BV042423141 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642963124 9783540076001 |
| issn | 0172-5939 |
| language | English |
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| spelling | Oden, J. T. Verfasser aut Variational Methods in Theoretical Mechanics by J. T. Oden, J. N. Reddy Berlin, Heidelberg Springer Berlin Heidelberg 1976 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduate-level course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. He also gratefully acknowledge that much of our own research work on variational theory was supported by the U.S. Air Force Office of Scientific Research. He are indebted to Mr. Ming-Goei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and pains taking job of typing the manuscript. J. T. ODEN J. N. REDDY Table of Contents PREFACE 1. INTRODUCTION 1.1 The Role of Variational Theory in Mechanics. 1 1.2 Some Historical Comments ......... . 2 1.3 Plan of Study ............... . 5 7 2. MATHEMATICAL FOUNDATIONS OF CLASSICAL VARIATIONAL THEORY 7 2.1 Introduction . . . . . . . Engineering Mathematics Engineering, general Mathematics, general Ingenieurwissenschaften Mathematik Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Mechanik (DE-588)4038168-7 s Variationsrechnung (DE-588)4062355-5 s DE-604 Elastizität (DE-588)4014159-7 s 1\p DE-604 Strömungsmechanik (DE-588)4077970-1 s 2\p DE-604 Reddy, J. N. Sonstige oth https://doi.org/10.1007/978-3-642-96312-4 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 | Oden, J. T. Variational Methods in Theoretical Mechanics Engineering Mathematics Engineering, general Mathematics, general Ingenieurwissenschaften Mathematik Variationsrechnung (DE-588)4062355-5 gnd Elastizität (DE-588)4014159-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd Mechanik (DE-588)4038168-7 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4014159-7 (DE-588)4077970-1 (DE-588)4038168-7 |
| title | Variational Methods in Theoretical Mechanics |
| title_auth | Variational Methods in Theoretical Mechanics |
| title_exact_search | Variational Methods in Theoretical Mechanics |
| title_full | Variational Methods in Theoretical Mechanics by J. T. Oden, J. N. Reddy |
| title_fullStr | Variational Methods in Theoretical Mechanics by J. T. Oden, J. N. Reddy |
| title_full_unstemmed | Variational Methods in Theoretical Mechanics by J. T. Oden, J. N. Reddy |
| title_short | Variational Methods in Theoretical Mechanics |
| title_sort | variational methods in theoretical mechanics |
| topic | Engineering Mathematics Engineering, general Mathematics, general Ingenieurwissenschaften Mathematik Variationsrechnung (DE-588)4062355-5 gnd Elastizität (DE-588)4014159-7 gnd Strömungsmechanik (DE-588)4077970-1 gnd Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Engineering Mathematics Engineering, general Mathematics, general Ingenieurwissenschaften Mathematik Variationsrechnung Elastizität Strömungsmechanik Mechanik |
| url | https://doi.org/10.1007/978-3-642-96312-4 |
| work_keys_str_mv | AT odenjt variationalmethodsintheoreticalmechanics AT reddyjn variationalmethodsintheoreticalmechanics |