Emmy Noether's wonderful theorem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Baltimore
Johns Hopkins University Press
2017
|
| Ausgabe: | Revised and updated edition |
| Schlagworte: | |
| Online-Zugang: | Emmy Noether's wonderful theorem Inhaltsverzeichnis |
| Beschreibung: | xvi, 321 Seiten Illustrationen, Diagramme 23 cm |
| ISBN: | 9781421422671 |
Internformat
MARC
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| 100 | 1 | |a Neuenschwander, Dwight E. |d 1952- |e Verfasser |0 (DE-588)1164087029 |4 aut | |
| 245 | 1 | 0 | |a Emmy Noether's wonderful theorem |c Dwight E. Neuenschwander, Southern Nazarene University |
| 250 | |a Revised and updated edition | ||
| 264 | 1 | |a Baltimore |b Johns Hopkins University Press |c 2017 | |
| 300 | |a xvi, 321 Seiten |b Illustrationen, Diagramme |c 23 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Noether-Theorem |0 (DE-588)4401301-2 |2 gnd |9 rswk-swf |
| 653 | |a Noether's theorem | ||
| 689 | 0 | 0 | |a Noether-Theorem |0 (DE-588)4401301-2 |D s |
| 689 | 0 | |5 DE-604 | |
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Datensatz im Suchindex
| _version_ | 1804178032657694720 |
|---|---|
| adam_text | CONTENTS
PREFACE
ACKNOWLEDGMENTS
QUESTIONS
X1
XLLL
XV
I WHEN FUNCTIONALS
ARE
EXTREMAL
1
SYMMETRY
3
1.1
SYMMETRY,
INVARIANCES,
AND
CONSERVATION LAWS
3
1.2
MEET EMMY NOETHER
8
2 FUNCTIONALS 21
2.1
SINGLE-INTEGRAL FUNCTIONALS
21
2.2
FORMAL DEFINITION
OF A
FUNCTIONAL 26
3 EXTREMALS
31
3.1
THE EULER-LAGRANGE
EQUATION
31
3.2
CONSERVATION LAWS
AS
COROLLARIES
TO
THE
EULER-LAGRANGE
EQUATION
43
3.3
ON
THE
EQUIVALENCE
OF
HAMILTON S
PRINCIPLE
AND
NEWTON S
SECOND
LAW 46
3.4
WHERE
DO
FUNCTIONAL
EXTREMAL
PRINCIPLES
COME
FROM? 49
3.5
WHY KINETIC MINUS
POTENTIAL
ENERGY?
53
3.6
EXTREMALS
WITH
EXTERNAL CONSTRAINTS
55
(VB11OTHEK
DEUTSCHES
MUSEUM
VIII
CONTENTS
II WHEN FUNCTIONALS ARE
INVARIANT
4
INVARIANCE 71
4.1 FORMAL
DEFINITION
OF
INVARIANCE
71
4.2 THE INVARIANCE IDENTITY
77
4.3
A
MORE LIBERAL DEFINITION
OF
INVARIANCE
79
5
EMMY NOETHER S
ELEGANT
(FIRST)
THEOREM
84
5.1
INVARIANCE
+
EXTREMAL
=
NOETHER S
THEOREM
84
5.2
EXECUTIVE SUMMARY
OF
NOETHER S THEOREM
88
5.3
EXTREMAL
OR
STATIONARY ?
90
5.4
AN
INVERSE PROBLEM: FINDING INVARIANCES
94
5.5
ADIABATIC INVARIANCE IN NOETHER S THEOREM
98
III
THE
INVARIANCE OF FIELDS
6
NOETHER S
THEOREM
AND
FIELDS 111
6.1 MULTIPLE-INTEGRAL FUNCTIONALS 111
6.2
EULER-LAGRANGE EQUATIONS
FOR FIELDS
115
6.3
CANONICAL
MOMENTUM
AND
THE
HAMILTONIAN
TENSOR FOR
FIELDS
119
6.4
EQUATIONS
OF
CONTINUITY
122
6.5
THE INVARIANCE
IDENTITY FOR FIELDS
124
6.6
NOETHER S
THEOREM
FOR FIELDS
128
6.7
COMPLEX FIELDS
129
6.8
GLOBAL GAUGE
TRANSFORMATIONS
133
7
LOCAL GAUGE
TRANSFORMATIONS
OF
FIELDS
147
7.1
LOCAL
GAUGE
INVARIANCE
AND
MINIMAL
COUPLING
147
7.2
ELECTRODYNAMICS
AS
A
GAUGE
THEORY,
PART
1:
FIELD TENSORS 153
7.3
PURE
ELECTRODYNAMICS, SPACETIME INVARIANCES,
AND
CONSERVATION LAWS
159
7.4
ELECTRODYNAMICS
AS
A
GAUGE THEORY,
PART
2:
MATTER-FIELD INTERACTIONS
163
7.5
LOCAL GAUGE
INVARIANCE
AND
NOETHER CURRENTS
168
7.6
INTERNAL
DEGREES
OF
FREEDOM
171
7.7
NOETHER S THEOREM
AND
GAUGED
INTERNAL
SYMMETRIES
180
CONTENTS
IX
8 EMMY NOETHER S
ELEGANT
(SECOND)
THEOREM
194
8.1
TWO NOETHER THEOREMS
194
8.2
NOETHER S SECOND
THEOREM 199
8.3
PARAMETRIC
INVARIANCE 205
8.4
FREE
FALL IN
A
GRAVITATIONAL FIELD 211
8.5
THE
GRAVITATIONAL
FIELD EQUATIONS 218
8.6
THE FUNCTIONALS
OF
GENERAL RELATIVITY 226
8.7
GAUGE
TRANSFORMATIONS
ON
SPACETIME
229
8.8
NOETHER S RESOLUTION
OF AN
ENIGMA
IN
GENERAL RELATIVITY 231
IV
TRANS-NOETHER
INVARIANCE
9
INVARIANCE IN PHASE
SPACE
241
9.1
PHASE SPACE 241
9.2
HAMILTON S PRINCIPLE IN
PHASE SPACE
243
9.3
NOETHER S THEOREM
AND
HAMILTON S EQUATIONS
245
9.4
HAMILTON-JACOBI THEORY 246
10
THE
ACTION
AS
A
GENERATOR
260
10.1
CONSERVATION
OF
PROBABILITY
AND
CONTINUOUS
TRANSFORMATIONS
261
10.2
THE POETRY
OF
NATURE
265
APPENDIXES
271
A
SCALARS, VECTORS,
AND
TENSORS 273
B
SPECIAL RELATIVITY 279
C
EQUATIONS
OF
MOTION
IN
QUANTUM MECHANICS
286
D
CONJUGATE VARIABLES
AND
LEGENDRE TRANSFORMATIONS
291
E
THE JACOBIAN
295
F
THE COVARIANT
DERIVATIVE 299
BIBLIOGRAPHY
305
INDEX
311
|
| any_adam_object | 1 |
| author | Neuenschwander, Dwight E. 1952- |
| author_GND | (DE-588)1164087029 |
| author_facet | Neuenschwander, Dwight E. 1952- |
| author_role | aut |
| author_sort | Neuenschwander, Dwight E. 1952- |
| author_variant | d e n de den |
| building | Verbundindex |
| bvnumber | BV044626911 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)992118889 (DE-599)HBZHT019344522 |
| discipline | Mathematik |
| edition | Revised and updated edition |
| format | Book |
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| id | DE-604.BV044626911 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:31Z |
| institution | BVB |
| isbn | 9781421422671 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030025041 |
| oclc_num | 992118889 |
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| owner | DE-29T DE-20 DE-210 DE-19 DE-BY-UBM DE-12 |
| owner_facet | DE-29T DE-20 DE-210 DE-19 DE-BY-UBM DE-12 |
| physical | xvi, 321 Seiten Illustrationen, Diagramme 23 cm |
| psigel | DHB_DM DHB_BSB_FID |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Johns Hopkins University Press |
| record_format | marc |
| spelling | Neuenschwander, Dwight E. 1952- Verfasser (DE-588)1164087029 aut Emmy Noether's wonderful theorem Dwight E. Neuenschwander, Southern Nazarene University Revised and updated edition Baltimore Johns Hopkins University Press 2017 xvi, 321 Seiten Illustrationen, Diagramme 23 cm txt rdacontent n rdamedia nc rdacarrier Noether-Theorem (DE-588)4401301-2 gnd rswk-swf Noether's theorem Noether-Theorem (DE-588)4401301-2 s DE-604 http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=7419887&custom_att_2=simple_viewer Emmy Noether's wonderful theorem Inhaltsverzeichnis Digitalisierung Deutsches Museum application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030025041&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neuenschwander, Dwight E. 1952- Emmy Noether's wonderful theorem Noether-Theorem (DE-588)4401301-2 gnd |
| subject_GND | (DE-588)4401301-2 |
| title | Emmy Noether's wonderful theorem |
| title_auth | Emmy Noether's wonderful theorem |
| title_exact_search | Emmy Noether's wonderful theorem |
| title_full | Emmy Noether's wonderful theorem Dwight E. Neuenschwander, Southern Nazarene University |
| title_fullStr | Emmy Noether's wonderful theorem Dwight E. Neuenschwander, Southern Nazarene University |
| title_full_unstemmed | Emmy Noether's wonderful theorem Dwight E. Neuenschwander, Southern Nazarene University |
| title_short | Emmy Noether's wonderful theorem |
| title_sort | emmy noether s wonderful theorem |
| topic | Noether-Theorem (DE-588)4401301-2 gnd |
| topic_facet | Noether-Theorem |
| url | http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=7419887&custom_att_2=simple_viewer http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030025041&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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