An illustrated guide to relativity:
Literaturangaben
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Literaturangaben |
| Beschreibung: | X, 256 S. Ill., graph. Darst. |
| ISBN: | 9780521141000 9780521763943 |
Internformat
MARC
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| 245 | 1 | 0 | |a An illustrated guide to relativity |c Tatsu Takeuchi |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2010 | |
| 300 | |a X, 256 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804143679094390784 |
|---|---|
| adam_text | Titel: An illustrated guide to relativity
Autor: Takeuchi, Tatsu
Jahr: 2010
Contents
Preface to English edition page viii
Preface to Japanese edition ix
Part I Kinematics: Relativity without any equations 1
1 Welcome to the world of relativity 2
2 Basics 4
2.1 Questions about motion 4
2.2 Frames of reference 5
2.3 Relativity of motion 12
2.4 The Law of Inertia 14
2.5 Inertial and non-inertial frames 18
2.6 What s so special about Special Relativity? 26
3 Galilean relativity 30
3.1 Basic questions 30
3.2 Spacetime diagrams 34
3.3 The Galilei transformation 40
3.4 Addition of velocities 54
3.5 Acceleration and Newton s Second Law 56
4 Einsteinian relativity 59
4.1 The mystery of the speed of light 59
4.2 Modification to the spacetime diagram 64
4.3 The problem 66
4.4 The solution 72
4.5 Einstein s argument 80
4.6 The solution, continued 85
4.7 Conservation of spacetime volume 88
4.8 The Lorentz transformation 94
4.9 The low velocity limit of the Lorentz transformation 108
Contents
4.10 Addition of velocities HO
4.11 Dependence of inertia on speed H6
Causality 12°
5.1 Before and after 120
5.2 Paradox? 122
5.3 Instantaneous communication? 124
5.4 Impossibility of faster than light travel 126
5.5 The light-cone 128
Consequences 130
6.1 Synchronization of clocks 130
6.2 Time dilation 132
6.3 What time dilation DOES NOT mean 138
6.4 Lorentz contraction 140
6.5 What Lorentz contraction DOES NOT mean 146
6.6 Twin paradox 148
6.7 Doppler effect 154
6.7.1 Red shift 156
6.7.2 Blue shift 158
6.7.3 Red shift and the expansion of the universe 160
Summary of Part I 162
Part II Problems 165
8 Qualitative problems 166
8.1 Reading the spacetime diagram 166
8.1.1 Street lamps 166
8.1.2 Supernovae 168
8.2 Questions on before and after 170
8.2.1 The hare and the tortoise 1 170
8.2.2 The hare and the tortoise 2 172
8.2.3 The hare and the tortoise 3 174
8.2.4 The starship and the supernova 176
8.3 Relativistic sports 178
8.3.1 Tagging up in baseball 1 178
8.3.2 Tagging up in baseball 2 180
8.3.3 The offside rule in soccer 182
8.4 Lorentz contraction 184
8.4.1 Train and tunnel 184
8.4.2 The starship and the enemy space cruiser 1 186
Contents vii
8.4.3 The starship and the enemy space cruiser 2 188
8.4.4 The duel of the space cruisers 190
8.4.5 Trains in a tunnel 192
Solutions to Chapter 8 problems 194
Quantitative problems 200
9.1 Addition of velocities 200
Part III Dynamics: Relativity with a few equations 207
10 The world s most famous equation 209
11 The problem 210
12 Newtonian dynamics 212
12.1 The mass-momentum vector 212
12.2 The impulse vector 218
12.3 Inertial mass 220
12.4 Newton s Second Law 222
12.5 Newton s Third Law and the conservation of
mass-momentum 224
13 Relativistic dynamics 230
13.1 The energy-momentum vector 230
13.2 The energy-momentum vector of a photon 236
13.3 The work-impulse vector 240
13.4 Conservation of energy-momentum 244
13.5 E = mc2 246
13.6 Common misconception about E = mc2 248
14 Summary of Part III 251
Afterword 252
References 254
Index 255
|
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| author | Takeuchi, Tatsu |
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| author_facet | Takeuchi, Tatsu |
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| dewey-ones | 530 - Physics |
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| dewey-search | 530.11 |
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| discipline | Physik |
| edition | 1. publ. |
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| id | DE-604.BV036956088 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:51:29Z |
| institution | BVB |
| isbn | 9780521141000 9780521763943 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020871061 |
| oclc_num | 695937110 |
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| owner_facet | DE-29T DE-19 DE-BY-UBM DE-384 DE-83 |
| physical | X, 256 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge Univ. Press |
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| spelling | Takeuchi, Tatsu Verfasser (DE-588)142543985 aut An illustrated guide to relativity Tatsu Takeuchi 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2010 X, 256 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Spezielle Relativitätstheorie (DE-588)4182215-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Spezielle Relativitätstheorie (DE-588)4182215-8 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020871061&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Takeuchi, Tatsu An illustrated guide to relativity Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| subject_GND | (DE-588)4182215-8 (DE-588)4151278-9 |
| title | An illustrated guide to relativity |
| title_auth | An illustrated guide to relativity |
| title_exact_search | An illustrated guide to relativity |
| title_full | An illustrated guide to relativity Tatsu Takeuchi |
| title_fullStr | An illustrated guide to relativity Tatsu Takeuchi |
| title_full_unstemmed | An illustrated guide to relativity Tatsu Takeuchi |
| title_short | An illustrated guide to relativity |
| title_sort | an illustrated guide to relativity |
| topic | Spezielle Relativitätstheorie (DE-588)4182215-8 gnd |
| topic_facet | Spezielle Relativitätstheorie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020871061&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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