Symmetry in science: an introduction to the general theory
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1995
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 213 S. Ill., graph. Darst. |
| ISBN: | 0387943757 |
Staff View
MARC
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| 100 | 1 | |a Rosen, Joe |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Symmetry in science |b an introduction to the general theory |c Joe Rosen |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1995 | |
| 300 | |a XV, 213 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 7 | |a Symmetrie |2 gtt | |
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Record in the Search Index
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Contents
Preface vii
1. What Is Symmetry? 1
2. The Mathematics of Symmetry: Group Theory 5
2.1. The Group Concept 6
2.2. Mapping 19
2.3. Isomorphism 23
2.4. Equivalence Relation 27
2.5. Homomorphism 29
2.6. Subgroup 34
2.7. Summary of Chapter Two 36
3. Group Theory Continued 38
3.1. Conjugacy, Equivalence Class, Invariant Subgroup, Kernel 38
3.2. Coset Decomposition 43
3.3. Factor Group 46
3.4. Anatomy of Homomorphism 49
3.5. Generators 53
3.6. Direct Product 54
3.7. Permutations, Symmetric Groups 56
3.8. Cycles, Transpositions, Alternating Groups 60
3.9. Cayley's Theorem 63
3.10. Summary of Chapter Three 64
4. Symmetry: The Formalism 66
4.1. System, State 66
4.2. Transformations, Transformation Group 68
4.3. Transformations in Space, Time, and Space Time 73
4.4. State Equivalence 78
4.5. Symmetry Transformations, Symmetry Group 80
4.6. Quantification of Symmetry 86
4.7. Quantum Systems 88
4.8. Summary of Chapter Four 90
xiii
xiv Contents
5. Application of Symmetry 92
5.1. Causal Relation 93
5.2. The Equivalence Principle 97
5.3. The Symmetry Principle 104
5.4. Minimalistic Use of the Symmetry Principle 106
5.5. Maximalistic Use of the Symmetry Principle 121
5.6. Quantum Systems 123
5.7. Summary of Chapter Five 124
6. Approximate Symmetry and Spontaneous Symmetry Breaking 126
6.1. Approximate Symmetry 126
6.2. Spontaneous Symmetry Breaking 129
6.3. Summary of Chapter Six 133
7. Symmetry in Processes, Conservation, and Cosmic Considerations 134
7.1. Symmetry of the Laws of Nature 134
7.2. Symmetry of Initial and Final States, the General Symmetry
Evolution Principle 142
7.3. The Special Symmetry Evolution Principle and Entropy 145
7.4. Conservation 150
7.5. Cosmic Considerations 153
7.6. Summary of Chapter Seven 155
8. Symmetry: The Concept 157
8.1. The Essence of Symmetry 157
8.2. How Is Change? 160
8.3. Symmetry of the Universe 162
8.4. Analogy as Symmetry 164
8.5. Summary of Chapter Eight 167
9. Symmetry in Science 169
9.1. Science 169
9.2. Reduction as Symmetry 171
9.3. Observer and Observed 172
9.4. Quasi Isolated System and Surroundings 174
9.5. Initial State and Evolution 176
9.6. Reproducibility as Symmetry 178
9.7. Predictability as Symmetry 180
9.8. Symmetry at the Foundation of Science 182
9.9. Summary of Chapter Nine 182
10. More Symmetry in Science 184
10.1. Analogy in Science 184
10.2. Symmetry of Evolution 185
10.3. Symmetry of States 188
10.4. Summary of Chapter Ten 190
Contents xv
Summary of Principles 191
Onward 193
Bibliography 195
Index 205 |
| any_adam_object | 1 |
| author | Rosen, Joe |
| author_facet | Rosen, Joe |
| author_role | aut |
| author_sort | Rosen, Joe |
| author_variant | j r jr |
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| bvnumber | BV010510339 |
| callnumber-first | Q - Science |
| callnumber-label | Q172 |
| callnumber-raw | Q172.5.S95 |
| callnumber-search | Q172.5.S95 |
| callnumber-sort | Q 3172.5 S95 |
| callnumber-subject | Q - General Science |
| classification_rvk | SK 950 UQ 1300 |
| classification_tum | MAT 200f |
| ctrlnum | (OCoLC)246595657 (DE-599)BVBBV010510339 |
| dewey-full | 501/.51164 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 501 - Philosophy and theory |
| dewey-raw | 501/.51164 |
| dewey-search | 501/.51164 |
| dewey-sort | 3501 551164 |
| dewey-tens | 500 - Natural sciences and mathematics |
| discipline | Allgemeine Naturwissenschaft Physik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-12-06T15:15:20Z |
| institution | BVB |
| isbn | 0387943757 |
| language | English |
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| physical | XV, 213 S. Ill., graph. Darst. |
| publishDate | 1995 |
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| publisher | Springer |
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| spelling | Rosen, Joe Verfasser aut Symmetry in science an introduction to the general theory Joe Rosen New York [u.a.] Springer 1995 XV, 213 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Groepentheorie gtt Groupes, Théorie des ram Natuurwetenschappen gtt Symmetrie gtt Symétrie (physique) ram Symétrie ram Naturwissenschaft Group theory Symmetry Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Symmetrie (DE-588)4058724-1 s Physik (DE-588)4045956-1 s DE-604 Gruppentheorie (DE-588)4072157-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007005702&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rosen, Joe Symmetry in science an introduction to the general theory Groepentheorie gtt Groupes, Théorie des ram Natuurwetenschappen gtt Symmetrie gtt Symétrie (physique) ram Symétrie ram Naturwissenschaft Group theory Symmetry Gruppentheorie (DE-588)4072157-7 gnd Symmetrie (DE-588)4058724-1 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4058724-1 (DE-588)4045956-1 |
| title | Symmetry in science an introduction to the general theory |
| title_auth | Symmetry in science an introduction to the general theory |
| title_exact_search | Symmetry in science an introduction to the general theory |
| title_full | Symmetry in science an introduction to the general theory Joe Rosen |
| title_fullStr | Symmetry in science an introduction to the general theory Joe Rosen |
| title_full_unstemmed | Symmetry in science an introduction to the general theory Joe Rosen |
| title_short | Symmetry in science |
| title_sort | symmetry in science an introduction to the general theory |
| title_sub | an introduction to the general theory |
| topic | Groepentheorie gtt Groupes, Théorie des ram Natuurwetenschappen gtt Symmetrie gtt Symétrie (physique) ram Symétrie ram Naturwissenschaft Group theory Symmetry Gruppentheorie (DE-588)4072157-7 gnd Symmetrie (DE-588)4058724-1 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Groepentheorie Groupes, Théorie des Natuurwetenschappen Symmetrie Symétrie (physique) Symétrie Naturwissenschaft Group theory Symmetry Gruppentheorie Physik |
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| work_keys_str_mv | AT rosenjoe symmetryinscienceanintroductiontothegeneraltheory |