Verfügbarkeit: Mathematical methods of classical mechanics

Mathematical methods of classical mechanics:

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Arnolʹd, V. I. 1937-2010 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York [u.a.] Springer 1989
Ausgabe:	2. ed.
Schriftenreihe:	Graduate texts in mathematics 60
Schlagworte:	Mekanik, Analitik Mécanique analytique Mechanics, Analytic Mechanik Theoretische Mechanik Mathematik Mathematische Methode Mathematische Physik
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Hier auch später erschienene, unveränderte Nachdrucke
Beschreibung:	IX, 508 S. Ill., zahlr. graph. Darst.
ISBN:	3540968903 0387968903

Internformat

MARC


LEADER	00000nam a2200000 cb4500
001	BV001878323
003	DE-604
005	20160301
007	t
008	890811s1989 gw ad\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 3540968903 \|9 3-540-96890-3
020			\|a 0387968903 \|9 0-387-96890-3
035			\|a (OCoLC)18681352
035			\|a (DE-599)BVBBV001878323
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-91 \|a DE-91G \|a DE-19 \|a DE-703 \|a DE-824 \|a DE-29T \|a DE-863 \|a DE-634 \|a DE-83 \|a DE-11 \|a DE-706
050		0	\|a QA805
082	0		\|a 531/.01/515 \|2 19
084			\|a SK 950 \|0 (DE-625)143273: \|2 rvk
084			\|a SK 990 \|0 (DE-625)143278: \|2 rvk
084			\|a UF 1000 \|0 (DE-625)145552: \|2 rvk
084			\|a PHY 200f \|2 stub
100	1		\|a Arnolʹd, V. I. \|d 1937-2010 \|e Verfasser \|0 (DE-588)119540878 \|4 aut
240	1	0	\|a Matematičeskie metody klassičeskoj mechaniki
245	1	0	\|a Mathematical methods of classical mechanics \|c V. I. Arnold
250			\|a 2. ed.
264		1	\|a New York [u.a.] \|b Springer \|c 1989
300			\|a IX, 508 S. \|b Ill., zahlr. graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Graduate texts in mathematics \|v 60
500			\|a Hier auch später erschienene, unveränderte Nachdrucke
650		4	\|a Mekanik, Analitik
650		4	\|a Mécanique analytique
650		7	\|a Mécanique analytique \|2 ram
650		4	\|a Mechanics, Analytic
650	0	7	\|a Mechanik \|0 (DE-588)4038168-7 \|2 gnd \|9 rswk-swf
650	0	7	\|a Theoretische Mechanik \|0 (DE-588)4185100-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematik \|0 (DE-588)4037944-9 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematische Methode \|0 (DE-588)4155620-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Mathematische Physik \|0 (DE-588)4037952-8 \|2 gnd \|9 rswk-swf
689	0	0	\|a Mechanik \|0 (DE-588)4038168-7 \|D s
689	0	1	\|a Mathematik \|0 (DE-588)4037944-9 \|D s
689	0		\|5 DE-604
689	1	0	\|a Mechanik \|0 (DE-588)4038168-7 \|D s
689	1	1	\|a Mathematische Methode \|0 (DE-588)4155620-3 \|D s
689	1		\|5 DE-604
689	2	0	\|a Theoretische Mechanik \|0 (DE-588)4185100-6 \|D s
689	2	1	\|a Mathematische Physik \|0 (DE-588)4037952-8 \|D s
689	2		\|8 1\p \|5 DE-604
830		0	\|a Graduate texts in mathematics \|v 60 \|w (DE-604)BV000000067 \|9 60
856	4	2	\|m HEBIS Datenaustausch Darmstadt \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001239110&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-001239110
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk

Datensatz im Suchindex

DE-BY-863_location	1911
DE-BY-FWS_call_number	1911/1999:1135
DE-BY-FWS_katkey	44156
DE-BY-FWS_media_number	083100651473
_version_	1806195537370677248
adam_text	V. I. ARNOLD MATHEMATICAL METHODS OF CLASSICAL MECHANICS SECOND EDITION TRANSLATED BY K. VOGTMANN AND A. WEINSTEIN WITH 269 ILLUSTRATIONS SPRINGER CONTENTS PREFACE V PREFACE TO THE SECOND EDITION VII PART I NEWTONIAN MECHANICS L CHAPTER 1 EXPERIMENTAL FACTS 3 1. THE PRINCIPLES OF RELATIVITY AND DETERMINACY 3 2. THE GALILEAN GROUP AND NEWTON S EQUATIONS 4 3. EXAMPLES OF MECHANICAL SYSTEMS 11 CHAPTER 2 INVESTIGATION OF THE EQUATIONS OF MOTION 15 4. SYSTEMS WITH ONE DEGREE OF FREEDOM 15 5. SYSTEMS WITH TWO DEGREES OF FREEDOM 22 6. CONSERVATIVE FORCE FIELDS 28 7. ANGULAR MOMENTUM 30 8. INVESTIGATION OF MOTION IN A CENTRAL FIELD 33 9. THE MOTION OF A POINT IN THREE- SPACE 42 10. MOTIONS OF A SYSTEM OF N POINTS 44 11. THE METHOD OF SIMILARITY 50 PART II LAGRANGIAN MECHANICS 53 CHAPTER 3 VARIATIONAL PRINCIPLES 55 12. CALCULUS OF VARIATIONS 55 13. LAGRANGE S EQUATIONS 59 CONTENTS 14. LEGENDRE TRANSFORMATIONS 61 15. HAMILTON S EQUATIONS 65 16. LIOUVILLE S THEOREM 68 CHAPTER 4 LAGRANGIAN MECHANICS ON MANIFOLDS 75 17. HOLONOMIC CONSTRAINTS 75 18. DIFFERENTIABLE MANIFOLDS 77 19. LAGRANGIAN DYNAMICAL SYSTEMS 83 20. E. NOETHER S THEOREM 88 21. D ALEMBERT S PRINCIPLE 91 CHAPTER 5 OSCILLATIONS 98 22. LINEARIZATION 98 23. SMALL OSCILLATIONS 103 24. BEHAVIOR OF CHARACTERISTIC FREQUENCIES 110 25. PARAMETRIC RESONANCE 113 CHAPTER 6 RIGID BODIES 123 26. MOTION IN A MOVING COORDINATE SYSTEM 123 27. INERTIAL FORCES AND THE CORIOLIS FORCE 129 28. RIGID BODIES 133 29. EULER S EQUATIONS. POINSOT S DESCRIPTION OF THE MOTION 142 30. LAGRANGE S TOP 148 31. SLEEPING TOPS AND FAST TOPS 154 PART III HAMILTONIAN MECHANICS 161 CHAPTER 7 DIFFERENTIAL FORMS 163 32. EXTERIOR FORMS 163 33. EXTERIOR MULTIPLICATION 170 34. DIFFERENTIAL FORMS 174 35. INTEGRATION OF DIFFERENTIAL FORMS 181 36. EXTERIOR DIFFERENTIATION 188 CHAPTER 8 SYMPLECTIC MANIFOLDS 201 37. SYMPLECTIC STRUCTURES ON MANIFOLDS 201 38. HAMILTON IAN PHASE FLOWS AND THEIR INTEGRAL INVARIANTS 204 39. THE LIE ALGEBRA OF VECTOR FIELDS 208 40. THE LIE ALGEBRA OF HAMILTONIAN FUNCTIONS 214 CONTENTS 41. SYMPLECTIC GEOMETRY 219 42. PARAMETRIC RESONANCE IN SYSTEMS WITH MANY DEGREES OF FREEDOM 225 43. A SYMPLECTIC ATLAS 229 CHAPTER 9 CANONICAL FORMALISM 233 44. THE INTEGRAL INVARIANT OF POINCARE-CARTAN 233 45. APPLICATIONS OF THE INTEGRAL INVARIANT OF POINCARE-CARTAN 240 46. HUYGENS PRINCIPLE 248 47. THE HAMILTON-JACOBI METHOD FOR INTEGRATING HAMILTON S CANONICAL EQUATIONS 258 48. GENERATING FUNCTIONS 266 CHAPTER 10 INTRODUCTION TO PERTURBATION THEORY 271 49. INTEGRABLE SYSTEMS 271 50. ACTION-ANGLE VARIABLES 279 51. AVERAGING 285 52. AVERAGING OF PERTURBATIONS 291 APPENDIX 1 RIEMANNIAN CURVATURE 301 APPENDIX 2 GEODESIES OF LEFT-INVARIANT METRICS ON LIE GROUPS AND THE HYDRODYNAMICS OF IDEAL FLUIDS 318 APPENDIX 3 SYMPLECTIC STRUCTURES ON ALGEBRAIC MANIFOLDS 343 APPENDIX 4 CONTACT STRUCTURES 349 APPENDIX 5 DYNAMICAL SYSTEMS WITH SYMMETRIES 371 APPENDIX 6 NORMAL FORMS OF QUADRATIC HAMILTONIANS 381 APPENDIX 7 NORMAL FORMS OF HAMILTONIAN SYSTEMS NEAR STATIONARY POINTS AND CLOSED TRAJECTORIES 385 APPENDIX 8 THEORY OF PERTURBATIONS OF CONDITIONALLY PERIODIC MOTION, AND KOLMOGOROV S THEOREM 399 CONTENTS APPENDIX 9 POINCARE S GEOMETRIC THEOREM, ITS GENERALIZATIONS AND APPLICATIONS 416 APPENDIX 10 MULTIPLICITIES OF CHARACTERISTIC FREQUENCIES, AND ELLIPSOIDS DEPENDING ON PARAMETERS 425 APPENDIX 11 SHORT WAVE ASYMPTOTICS 438 * APPENDIX 12 LAGRANGIAN SINGULARITIES 446 APPENDIX 13 THE KORTEWEG-DE VRIES EQUATION 453 APPENDIX 14 POISSON STRUCTURES 456 APPENDIX 15 ON ELLIPTIC COORDINATES 469 APPENDIX 16 SINGULARITIES OF RAY SYSTEMS 480 INDEX 511
any_adam_object	1
author	Arnolʹd, V. I. 1937-2010
author_GND	(DE-588)119540878
author_facet	Arnolʹd, V. I. 1937-2010
author_role	aut
author_sort	Arnolʹd, V. I. 1937-2010
author_variant	v i a vi via
building	Verbundindex
bvnumber	BV001878323
callnumber-first	Q - Science
callnumber-label	QA805
callnumber-raw	QA805
callnumber-search	QA805
callnumber-sort	QA 3805
callnumber-subject	QA - Mathematics
classification_rvk	SK 950 SK 990 UF 1000
classification_tum	PHY 200f
ctrlnum	(OCoLC)18681352 (DE-599)BVBBV001878323
dewey-full	531/.01/515
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	531 - Classical mechanics
dewey-raw	531/.01/515
dewey-search	531/.01/515
dewey-sort	3531 11 3515
dewey-tens	530 - Physics
discipline	Physik Mathematik
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02626nam a2200649 cb4500</leader><controlfield tag="001">BV001878323</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160301 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890811s1989 gw ad\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540968903</subfield><subfield code="9">3-540-96890-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387968903</subfield><subfield code="9">0-387-96890-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)18681352</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV001878323</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-863</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA805</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">531/.01/515</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 990</subfield><subfield code="0">(DE-625)143278:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UF 1000</subfield><subfield code="0">(DE-625)145552:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 200f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Arnolʹd, V. I.</subfield><subfield code="d">1937-2010</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119540878</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Matematičeskie metody klassičeskoj mechaniki</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical methods of classical mechanics</subfield><subfield code="c">V. I. Arnold</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 508 S.</subfield><subfield code="b">Ill., zahlr. graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">60</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mekanik, Analitik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mécanique analytique</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mécanique analytique</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics, Analytic</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mechanik</subfield><subfield code="0">(DE-588)4038168-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Theoretische Mechanik</subfield><subfield code="0">(DE-588)4185100-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mechanik</subfield><subfield code="0">(DE-588)4038168-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Mechanik</subfield><subfield code="0">(DE-588)4038168-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Theoretische Mechanik</subfield><subfield code="0">(DE-588)4185100-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Mathematische Physik</subfield><subfield code="0">(DE-588)4037952-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate texts in mathematics</subfield><subfield code="v">60</subfield><subfield code="w">(DE-604)BV000000067</subfield><subfield code="9">60</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001239110&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001239110</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection>
id	DE-604.BV001878323
illustrated	Illustrated
indexdate	2024-08-01T16:24:50Z
institution	BVB
isbn	3540968903 0387968903
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001239110
oclc_num	18681352
open_access_boolean
owner	DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-824 DE-29T DE-863 DE-BY-FWS DE-634 DE-83 DE-11 DE-706
owner_facet	DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-824 DE-29T DE-863 DE-BY-FWS DE-634 DE-83 DE-11 DE-706
physical	IX, 508 S. Ill., zahlr. graph. Darst.
publishDate	1989
publishDateSearch	1989
publishDateSort	1989
publisher	Springer
record_format	marc
series	Graduate texts in mathematics
series2	Graduate texts in mathematics
spellingShingle	Arnolʹd, V. I. 1937-2010 Mathematical methods of classical mechanics Graduate texts in mathematics Mekanik, Analitik Mécanique analytique Mécanique analytique ram Mechanics, Analytic Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Mathematik (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematische Physik (DE-588)4037952-8 gnd
subject_GND	(DE-588)4038168-7 (DE-588)4185100-6 (DE-588)4037944-9 (DE-588)4155620-3 (DE-588)4037952-8
title	Mathematical methods of classical mechanics
title_alt	Matematičeskie metody klassičeskoj mechaniki
title_auth	Mathematical methods of classical mechanics
title_exact_search	Mathematical methods of classical mechanics
title_full	Mathematical methods of classical mechanics V. I. Arnold
title_fullStr	Mathematical methods of classical mechanics V. I. Arnold
title_full_unstemmed	Mathematical methods of classical mechanics V. I. Arnold
title_short	Mathematical methods of classical mechanics
title_sort	mathematical methods of classical mechanics
topic	Mekanik, Analitik Mécanique analytique Mécanique analytique ram Mechanics, Analytic Mechanik (DE-588)4038168-7 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Mathematik (DE-588)4037944-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematische Physik (DE-588)4037952-8 gnd
topic_facet	Mekanik, Analitik Mécanique analytique Mechanics, Analytic Mechanik Theoretische Mechanik Mathematik Mathematische Methode Mathematische Physik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001239110&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000067
work_keys_str_mv	AT arnolʹdvi matematiceskiemetodyklassiceskojmechaniki AT arnolʹdvi mathematicalmethodsofclassicalmechanics

Verfügbarkeit

Inhaltsverzeichnis

Würzburg Magazin

Bestandesangaben von Würzburg Magazin
Signatur:	1911 1999:1135
Exemplar 1	ausleihbar Verfügbar Bestellen

MARC

Datensatz im Suchindex

Würzburg Magazin

Ähnliche Einträge