Computer-oriented mathematical physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Pergamon Press
1981
|
| Schriftenreihe: | International series in nonlinear mathematics.
3. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 170 S.: graph.Darst. |
| ISBN: | 0080264719 |
Internformat
MARC
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| 245 | 1 | 0 | |a Computer-oriented mathematical physics |
| 264 | 1 | |a Oxford |b Pergamon Press |c 1981 | |
| 300 | |a VIII, 170 S.: graph.Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a International series in nonlinear mathematics. |v 3. | |
| 490 | 0 | |a Pergamon international library of science, technology, engineering and social studies. | |
| 650 | 7 | |a Elementaire deeltjes |2 gtt | |
| 650 | 7 | |a Fysische informatica |2 gtt | |
| 650 | 7 | |a Mathematische fysica |2 gtt | |
| 650 | 7 | |a Mechanica |2 gtt | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Mathematical physics | |
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Datensatz im Suchindex
| _version_ | 1804116703444992000 |
|---|---|
| adam_text | Contents
CHAPTER 1 MATHEMATICAL AND PHYSICAL SCIENCES 1
1.1 Introduction . 1
1.2 Mathematical Science 1
1.3 Physical Science , 4
1.4 Exercises 5
CHAPTER 2 GRAVITY 8
2.1 Introduction , 8
2.2 A Simple Experiment 8
2.3 Velocity 10
2.4 Acceleration 12
2.5 Further Experiments 13
2.6 A Mathematical Model 13
2.7 Still Further Experiments 18
2.8 Exercises 19
CHAPTER 3 THEORETICAL PHYSICS AS A MATHEMATICAL SCIENCE 21
3.1 Introduction 21
3.2 Basic Mathematical Concepts 21
3.3 Basic Physical Concepts 27
3.4 Remarks 31
3.5 Exercises 31
CHAPTER 4 THE PENDULUM AND OTHER OSCILLATORS 36
4.1 Introduction 36
4.2 A Theoretical Pendulum 36
4.3 The Harmonic Oscillator 40
4.4 Harmonic Motion 44
4.5 Remarks 48
4.6 Exercises 48
CHAPTER 5 WAVES . 50
5.1 Introduction 50
5.2 The Discrete String . 50
5.3 Examples 53
5.4 Exercises 57
CHAPTER 6 VECTORS 59
6.1 Introduction 59
6.2 Two Dimensional Vectors ..... 59
6.3 Three Dimensional Vectors • 61
6.4 Exercises 66
vii
viii Table of Contents
CHAPTER 7 GRAVITATION 69
7.1 Introduction 69
7.2 The 1/r2 Law 69
7.3 Gravitation 71
7.4 Basic Planar Concepts 73
7.5 Planetary Motion and Discrete Gravitation 75
7.6 Newton s Method of Iteration 77
7.7 An Orbit Example 82
7.8 Gravity Revisited 84
7.9 Attraction and Repulsion 87
7.10 Remarks 89
7.11 Exercises 89
CHAPTER 8 THE THREE BODY PROBLEM 92
8.1 Introduction 92
8.2 The Equations of Motion 92
8.3 Conservation of Energy 94
8.4 Solution of the Discrete Three Body Problem 95
8.5 The Oscillatory Nature of Planetary Perihelion Motion 97
8.6 Center of Gravity 101
8.7 Conservation of Linear Momentum 103
8.8 Conservation of Angular Momentum 103
8.9 Exercises 107
CHAPTER 9 THE n BODY PROBLEM 109
9.1 Introduction 109
9.2 Discrete n Body Interaction 109
9.3 The Solid State Building Block 110
9.4 Flow of Heat in a Bar 112
9.5 Oscillation of an Elastic Bar 114
9.6 Exercises 117
CHAPTER 10 DISCRETE FLUID MODELS 118
10.1 Introduction 118
10.2 Laminar and Turbulent Flows 118
10.3 Shock Waves 123
10.4 Exercises 127
CHAPTER 11 SPINNING TOPS AND SKATERS 129
11.1 Introduction 129
11.2 The Spinning Top 129
11.3 Angular Velocity 130
11.4 The Spinning Skater 132
11.5 Exercises 136
CHAPTER 12 THE GALILEAN PRINCIPLE OF RELATIVITY 138
12.1 Introduction 138
12.2 The Galilean Principle 138
12.3 Remarks 140
12.4 Exercises 140
APPENDIX A FORTRAN PROGRAM FOR THE HARMONIC OSCILLATOR
EXAMPLE OF SECTION 4.4 142
APPENDIX B FORTRAN PROGRAM FOR THE WAVE INTERACTION
EXAMPLE OF SECTION 5.3 143
APPENDIX C FORTRAN PROGRAM FOR THE ORBIT CALCULATION
OF SECTION 7.7 145
APPENDIX D FORTRAN PROGRAM FOR THREE BODY PROBLEM
OF SECTION 8.2 147
APPENDIX E FORTRAN PROGRAM FOR GENERAL n BODY
INTERACTION 151
ANSWERS TO SELECTED EXERCISES 157
REFERENCES AND SOURCES FOR FURTHER READING 165
INDEX 167
|
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| author | Greenspan, Donald 1928- |
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| callnumber-first | Q - Science |
| callnumber-label | QC125 |
| callnumber-raw | QC125.2 |
| callnumber-search | QC125.2 |
| callnumber-sort | QC 3125.2 |
| callnumber-subject | QC - Physics |
| classification_rvk | UF 1000 SK 950 |
| ctrlnum | (OCoLC)8153183 (DE-599)BVBBV002247421 |
| dewey-full | 530.1/5 531 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics 531 - Classical mechanics |
| dewey-raw | 530.1/5 531 |
| dewey-search | 530.1/5 531 |
| dewey-sort | 3530.1 15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV002247421 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:43Z |
| institution | BVB |
| isbn | 0080264719 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001476868 |
| oclc_num | 8153183 |
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| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-83 DE-188 |
| physical | VIII, 170 S.: graph.Darst. |
| psigel | TUB-nvmb |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Pergamon Press |
| record_format | marc |
| series | International series in nonlinear mathematics. |
| series2 | International series in nonlinear mathematics. Pergamon international library of science, technology, engineering and social studies. |
| spelling | Greenspan, Donald 1928- Verfasser (DE-588)130583073 aut Computer-oriented mathematical physics Oxford Pergamon Press 1981 VIII, 170 S.: graph.Darst. txt rdacontent n rdamedia nc rdacarrier International series in nonlinear mathematics. 3. Pergamon international library of science, technology, engineering and social studies. Elementaire deeltjes gtt Fysische informatica gtt Mathematische fysica gtt Mechanica gtt Mathematische Physik Mathematical physics Mechanics Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Mechanik (DE-588)4038168-7 s Finite-Elemente-Methode (DE-588)4017233-8 s International series in nonlinear mathematics. 3. (DE-604)BV002809947 3. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476868&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Greenspan, Donald 1928- Computer-oriented mathematical physics International series in nonlinear mathematics. Elementaire deeltjes gtt Fysische informatica gtt Mathematische fysica gtt Mechanica gtt Mathematische Physik Mathematical physics Mechanics Numerisches Verfahren (DE-588)4128130-5 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Mechanik (DE-588)4038168-7 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4185100-6 (DE-588)4017233-8 (DE-588)4038168-7 |
| title | Computer-oriented mathematical physics |
| title_auth | Computer-oriented mathematical physics |
| title_exact_search | Computer-oriented mathematical physics |
| title_full | Computer-oriented mathematical physics |
| title_fullStr | Computer-oriented mathematical physics |
| title_full_unstemmed | Computer-oriented mathematical physics |
| title_short | Computer-oriented mathematical physics |
| title_sort | computer oriented mathematical physics |
| topic | Elementaire deeltjes gtt Fysische informatica gtt Mathematische fysica gtt Mechanica gtt Mathematische Physik Mathematical physics Mechanics Numerisches Verfahren (DE-588)4128130-5 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Elementaire deeltjes Fysische informatica Mathematische fysica Mechanica Mathematische Physik Mathematical physics Mechanics Numerisches Verfahren Theoretische Mechanik Finite-Elemente-Methode Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476868&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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