Arithmetic applied mathematics
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Pergamon Press
1980
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | International series in nonlinear mathematics
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Arithmetic applied mathematics |c by Donald Greenspan |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Oxford [u.a.] |b Pergamon Press |c 1980 | |
| 300 | |a VII, 165 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a International series in nonlinear mathematics |v 1 | |
| 490 | 0 | |a Pergamon international library of science, technology, engineering and social studies | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Mathematical physics |x Data processing | |
| 650 | 0 | 7 | |a Mathematische Methode |0 (DE-588)4155620-3 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a International series in nonlinear mathematics |v 1 |w (DE-604)BV002809947 |9 1 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
PREFACE vii
CHAPTER 1 GRAVITY . 1
1.1 Introduction 1.
1.2 Gravity I
CHAPTER 2 LONG AND SHORT RANGE FORCES: GRAVITATION
AND MOLECULAR ATTRACTION AND REPULSION 7
2.1 Introduction 7
2.2 Gravitation 7
2.3 Basic Planar Concepts 9
2.4 Discrete Gravitation and Planetary Motion 11
2.5 The Generalized Newton s Method 13
2.6 An Orbit Example 14
2.7 Gravity Revisited 16
2.8 Classical Molecular Forces 18
2.9 Remark 19
CHAPTER 3 THE N BODY PROBLEM 20
3.1 Introduction 20
3.2 The Three Body Problem 20
3.3 Conservation of Energy 22
3.4 Solution of the Discrete Three Body Problem 23
3.5 Center of Gravity 25
3.6 Conservation of Linear Momentum 27
3.7 Conservation of Angular Momentum 27
3.8 The N Body Problem 30
3.9 Remark 31
CHAPTER 4 CONSERVATIVE MODELS 32
4.1 Introduction 32
4.2 The Solid State Building Block 32
4.3 Flow of Heat in a Bar 54
4.4 Oscillation of an Elastic Bar 36
4.5 Laminar and Turbulent Fluid Flows 39
CHAPTER 5 NONCONSERVATIVE MODELS 44
5.1 Introduction 44
5.2 Shock Waves 44
5.3 The Leap Frog Formulas 48
5.4 The Stefan Problem 48
5.5 Evolution of Planetary Type Bodies 64
5.6 Free Surface Fluid Flow 92
5.7 Porous Flow 104
v
vi Contents
CHAPTER 6 FOUNDATIONAL CONCEPTS OF SPECIAL RELATIVITY 109
6.1 Introduction 109
6.2 Basic Concepts 109
6.3 Events and a Special Lorentz Transformation 110
6.4 A General Lorentz Transformation 112
CHAPTER 7 ARITHMETIC SPECIAL RELATIVISTIC MECHANICS IN
ONE SPACE DIMENSION 115
7.1 Introduction 115
7.2 Proper Time 116
7.3 Velocity and Acceleration 117
7.4 Rest Mass and Momentum 119
7.5 The Dynamical Difference Equation 120
7.6 Energy 121
7.7 The Momentum Energy Vector 123
7.8 Remarks 124
CHAPTER 8 ARITHMETIC SPECIAL RELATIVISTIC MECHANICS IN
THREE SPACE DIMENSIONS 125
8.1 Introduction 125
8.2 Velocity, Acceleration, and Proper Time 125
8.3 Minkowski Space 128
8 4 4 Velocity and 4 Acceleration 129
8.5 Momentum and Energy 131
8.6 The Momentum—Energy 4 Vector 132
8.7 Dynamics 133
CHAPTER 9 LORENTZ INVARIANT COMPUTATIONS 136
9.1 Introduction 136
9.2 Invariant Computations 136
9.3 An Arithmetic, Newtonian Harmonic Oscillator 138
9.4 An Arithmetic, Relativistic Harmonic Oscillator 141
9.5 Motion of an Electric Charge in a Magnetic Field 145
APPENDIX 1 FORTRAN PROGRAM FOR GENERAL N BODY INTERACTION 148
APPENDIX 2 FORTRAN PROGRAM FOR PLANETARY TYPE EVOLUTION 154
REFERENCES AND SOURCES FOR FURTHER READING 158
INDEX 163
|
| adam_txt |
Contents
PREFACE vii
CHAPTER 1 GRAVITY . 1
1.1 Introduction 1.
1.2 Gravity I
CHAPTER 2 LONG AND SHORT RANGE FORCES: GRAVITATION
AND MOLECULAR ATTRACTION AND REPULSION 7
2.1 Introduction 7
2.2 Gravitation 7
2.3 Basic Planar Concepts 9
2.4 Discrete Gravitation and Planetary Motion 11
2.5 The Generalized Newton's Method 13
2.6 An Orbit Example 14
2.7 Gravity Revisited 16
2.8 Classical Molecular Forces 18
2.9 Remark 19
CHAPTER 3 THE N BODY PROBLEM 20
3.1 Introduction 20
3.2 The Three Body Problem 20
3.3 Conservation of Energy 22
3.4 Solution of the Discrete Three Body Problem 23
3.5 Center of Gravity 25
3.6 Conservation of Linear Momentum 27
3.7 Conservation of Angular Momentum 27
3.8 The N Body Problem 30
3.9 Remark 31
CHAPTER 4 CONSERVATIVE MODELS 32
4.1 Introduction '32
4.2 The Solid State Building Block 32
4.3 Flow of Heat in a Bar 54
4.4 Oscillation of an Elastic Bar 36
4.5 Laminar and Turbulent Fluid Flows 39
CHAPTER 5 NONCONSERVATIVE MODELS 44
5.1 Introduction 44
5.2 Shock Waves 44
5.3 The Leap Frog Formulas 48
5.4 The Stefan Problem 48
5.5 Evolution of Planetary Type Bodies 64
5.6 Free Surface Fluid Flow 92
5.7 Porous Flow 104
v
vi Contents
CHAPTER 6 FOUNDATIONAL CONCEPTS OF SPECIAL RELATIVITY 109
6.1 Introduction 109
6.2 Basic Concepts 109
6.3 Events and a Special Lorentz Transformation 110
6.4 A General Lorentz Transformation 112
CHAPTER 7 ARITHMETIC SPECIAL RELATIVISTIC MECHANICS IN
ONE SPACE DIMENSION 115
7.1 Introduction 115
7.2 Proper Time 116
7.3 Velocity and Acceleration 117
7.4 Rest Mass and Momentum 119
7.5 The Dynamical Difference Equation 120
7.6 Energy 121
7.7 The Momentum Energy Vector 123
7.8 Remarks 124
CHAPTER 8 ARITHMETIC SPECIAL RELATIVISTIC MECHANICS IN
THREE SPACE DIMENSIONS 125
8.1 Introduction 125
8.2 Velocity, Acceleration, and Proper Time 125
8.3 Minkowski Space 128
8 4 4 Velocity and 4 Acceleration 129
8.5 Momentum and Energy 131
8.6 The Momentum—Energy 4 Vector 132
8.7 Dynamics 133
CHAPTER 9 LORENTZ INVARIANT COMPUTATIONS 136
9.1 Introduction 136
9.2 Invariant Computations 136
9.3 An Arithmetic, Newtonian Harmonic Oscillator 138
9.4 An Arithmetic, Relativistic Harmonic Oscillator 141
9.5 Motion of an Electric Charge in a Magnetic Field 145
APPENDIX 1 FORTRAN PROGRAM FOR GENERAL N BODY INTERACTION 148
APPENDIX 2 FORTRAN PROGRAM FOR PLANETARY TYPE EVOLUTION 154
REFERENCES AND SOURCES FOR FURTHER READING 158
INDEX 163 |
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| author | Greenspan, Donald 1928- |
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| callnumber-search | QC20.7.E4 |
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| callnumber-subject | QC - Physics |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)6357503 (DE-599)BVBBV022164619 |
| dewey-full | 530.1/5/02854044 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/5/02854044 |
| dewey-search | 530.1/5/02854044 |
| dewey-sort | 3530.1 15 72854044 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| discipline_str_mv | Physik Mathematik |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV022164619 |
| illustrated | Illustrated |
| index_date | 2024-07-02T16:19:20Z |
| indexdate | 2024-07-09T20:51:39Z |
| institution | BVB |
| isbn | 0080250475 0080250467 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015379302 |
| oclc_num | 6357503 |
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| owner | DE-706 DE-188 |
| owner_facet | DE-706 DE-188 |
| physical | VII, 165 S. graph. Darst. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| 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 Arithmetic applied mathematics by Donald Greenspan 1. ed. Oxford [u.a.] Pergamon Press 1980 VII, 165 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier International series in nonlinear mathematics 1 Pergamon international library of science, technology, engineering and social studies Datenverarbeitung Mathematische Physik Mathematical physics Data processing Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Theoretische Physik (DE-588)4117202-4 gnd rswk-swf Theoretische Physik (DE-588)4117202-4 s DE-604 Mathematische Methode (DE-588)4155620-3 s International series in nonlinear mathematics 1 (DE-604)BV002809947 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015379302&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Greenspan, Donald 1928- Arithmetic applied mathematics International series in nonlinear mathematics Datenverarbeitung Mathematische Physik Mathematical physics Data processing Mathematische Methode (DE-588)4155620-3 gnd Theoretische Physik (DE-588)4117202-4 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4117202-4 |
| title | Arithmetic applied mathematics |
| title_auth | Arithmetic applied mathematics |
| title_exact_search | Arithmetic applied mathematics |
| title_exact_search_txtP | Arithmetic applied mathematics |
| title_full | Arithmetic applied mathematics by Donald Greenspan |
| title_fullStr | Arithmetic applied mathematics by Donald Greenspan |
| title_full_unstemmed | Arithmetic applied mathematics by Donald Greenspan |
| title_short | Arithmetic applied mathematics |
| title_sort | arithmetic applied mathematics |
| topic | Datenverarbeitung Mathematische Physik Mathematical physics Data processing Mathematische Methode (DE-588)4155620-3 gnd Theoretische Physik (DE-588)4117202-4 gnd |
| topic_facet | Datenverarbeitung Mathematische Physik Mathematical physics Data processing Mathematische Methode Theoretische Physik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015379302&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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