Selected chapters in the calculus of variations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Basel u.a.
Birkhäuser
2003
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| Series: | Lectures in mathematics
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 132 S. |
| ISBN: | 3764321857 |
Staff View
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Record in the Search Index
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| adam_text | JUERGEN MOSER SELECTED CHAPTERS IN THE CALCULUS OF VARIATIONS LECTURE
NOTES BY OLIVER KNILL B IRKHAU SER VERLAG BOSTON BERLIN CONTENTS 0.1
INTRODUCTION ............................... 1 0.2 ON THESE LECTURE
NOTES ......................... 2 1 ONE-DIMENSIONAL VARIATIONAL PROBLEMS
3 1.1 REGULARITY OF THE MINIMALS ....................... 3 1.2 EXAMPLES
................................ 9 1.3 THE ACCESSORY VARIATIONAL PROBLEM
. . . . . . . . . . . . . . . . . . 16 1.4 EXTREMAL FIELDS FOR 1
........................ 20 1.5 THE HAMILTONIAN FORMULATION
..................... 25 1.6 EXERCISES TO CHAPTER 1
......................... 30 2 EXTREMAL FIELDS AND GLOBAL MINIMALS 33
2.1 GLOBAL EXTREMAL FIELDS ......................... 33 2.2 AN EXISTENCE
THEOREM ......................... 36 2.3 PROPERTIES OF GLOBAL MINIMALS
..................... 42 2.4 A PRIORI ESTIMATES AND A COMPACTNESS
PROPERTY . . . . . . . . . . . 50 2.5 MA FOR IRRATIONAL A, MATHER
SETS . . . . . . . . . . . . . . . . . . . 56 2.6 MA FOR RATIONAL
........................... 73 2.7 EXERCISES TO CHAPTER I1
......................... 81 3 DISCRETE SYSTEMS. APPLICATIONS 83 3.1
MONOTONE TWIST MAPS ......................... 83 3.2 A DISCRETE
VARIATIONAL PROBLEM ..................... 94 3.3 THREEEXAMPLES
............................. 98 3.4 A SECOND VARIATIONAL PROBLEM
..................... 104 3.5 MINIMAL GEODESICS ON T2
........................ 105 3.6 HEDLUND S METRIC ON T3
........................ 108 3.7 EXERCISES TO CHAPTER 111
........................ 113 BIBLIOGRAPHY 115 A REMARKS ON THE
LITERATURE 117 ADDITIONAL BIBLIOGRAPHY 121 INDEX 129
|
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| discipline | Mathematik |
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| indexdate | 2024-07-09T19:57:04Z |
| institution | BVB |
| isbn | 3764321857 |
| language | German |
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| physical | 132 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Birkhäuser |
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| series2 | Lectures in mathematics |
| spelling | Moser, Jürgen Verfasser aut Selected chapters in the calculus of variations Jürgen Moser. Lecture notes by Oliver Knill Basel u.a. Birkhäuser 2003 132 S. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics Calcul des variations Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Geodätischer Fluss (DE-588)4156670-1 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 s Dynamisches System (DE-588)4013396-5 s Geodätischer Fluss (DE-588)4156670-1 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012766676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Moser, Jürgen Selected chapters in the calculus of variations Calcul des variations Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Dynamisches System (DE-588)4013396-5 gnd Geodätischer Fluss (DE-588)4156670-1 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4013396-5 (DE-588)4156670-1 |
| title | Selected chapters in the calculus of variations |
| title_auth | Selected chapters in the calculus of variations |
| title_exact_search | Selected chapters in the calculus of variations |
| title_full | Selected chapters in the calculus of variations Jürgen Moser. Lecture notes by Oliver Knill |
| title_fullStr | Selected chapters in the calculus of variations Jürgen Moser. Lecture notes by Oliver Knill |
| title_full_unstemmed | Selected chapters in the calculus of variations Jürgen Moser. Lecture notes by Oliver Knill |
| title_short | Selected chapters in the calculus of variations |
| title_sort | selected chapters in the calculus of variations |
| topic | Calcul des variations Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Dynamisches System (DE-588)4013396-5 gnd Geodätischer Fluss (DE-588)4156670-1 gnd |
| topic_facet | Calcul des variations Calculus of variations Variationsrechnung Dynamisches System Geodätischer Fluss |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012766676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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