Illustrated special relativity through its paradoxes :: a fusion of linear algebra, graphics, and reality /
"Assuming a minimum of technical expertise beyond basic matrix theory, the authors introduce inertial frames and Minkowski diagrams to explain the nature of simultaneity, why faster-than-light travel is impossible, and the proper way to add velocities. We resolve the twin paradox, the train-in-...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Washington, D.C. :
Mathematical Association of America,
[2013]
|
| Schriftenreihe: | Spectrum series.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Assuming a minimum of technical expertise beyond basic matrix theory, the authors introduce inertial frames and Minkowski diagrams to explain the nature of simultaneity, why faster-than-light travel is impossible, and the proper way to add velocities. We resolve the twin paradox, the train-in-tunnel paradox, the pra-shooter paradox along with the lesser-known bug-rivet paradox that shows how rigidity is incompatible with special relativity. Since Einstein in his seminal 1905 paper introducing special relativity, acknowledged his debt to Clerk Maxwell, we fully develop Maxwell's four equations that unify the theories of electricity, optics, and magnetism. These equations also lead to a simple calculation for the frame independent speed of electromagnetic waves in a vacuum."--Cover. |
| Beschreibung: | 1 online resource : illustrations. |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781614445173 1614445176 |
Internformat
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| 505 | 0 | |a Preface -- Introduction of the paradoxes -- Clocks and rods in motion -- The algebra in frames -- The graphing in frames -- Galilean transformation -- Constant c in spacetime -- Lorentz transformation -- The hyperbola of time-stamped origins -- The accommodating universe paradox -- The length-time comparison paradoxes -- The twin paradox -- The train-tunnel paradox -- The pea-shooter paradox -- The bug-rivet paradox -- E = mc² -- The nature of waves -- Maxwell's mathematical toolkit -- Electric and magnetic fields -- Electricity and magnetism: Gauss' laws -- Towards Maxwell's equations -- Electromagnetism: a qualitative view -- Electromagnetism: a quantitative view -- Epilogue: final thoughts -- Appendices. | |
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| contents | Preface -- Introduction of the paradoxes -- Clocks and rods in motion -- The algebra in frames -- The graphing in frames -- Galilean transformation -- Constant c in spacetime -- Lorentz transformation -- The hyperbola of time-stamped origins -- The accommodating universe paradox -- The length-time comparison paradoxes -- The twin paradox -- The train-tunnel paradox -- The pea-shooter paradox -- The bug-rivet paradox -- E = mc² -- The nature of waves -- Maxwell's mathematical toolkit -- Electric and magnetic fields -- Electricity and magnetism: Gauss' laws -- Towards Maxwell's equations -- Electromagnetism: a qualitative view -- Electromagnetism: a quantitative view -- Epilogue: final thoughts -- Appendices. |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn880143943 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:59Z |
| institution | BVB |
| isbn | 9781614445173 1614445176 |
| language | English |
| oclc_num | 880143943 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource : illustrations. |
| psigel | ZDB-4-EBA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Mathematical Association of America, |
| record_format | marc |
| series | Spectrum series. |
| series2 | Spectrum series |
| spelling | De Pillis, John. Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / John de Pillis, José Wudka ; illustrations and animations by John de Pillis. Washington, D.C. : Mathematical Association of America, [2013] ©2013 1 online resource : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier Spectrum series Includes bibliographical references and index. "Assuming a minimum of technical expertise beyond basic matrix theory, the authors introduce inertial frames and Minkowski diagrams to explain the nature of simultaneity, why faster-than-light travel is impossible, and the proper way to add velocities. We resolve the twin paradox, the train-in-tunnel paradox, the pra-shooter paradox along with the lesser-known bug-rivet paradox that shows how rigidity is incompatible with special relativity. Since Einstein in his seminal 1905 paper introducing special relativity, acknowledged his debt to Clerk Maxwell, we fully develop Maxwell's four equations that unify the theories of electricity, optics, and magnetism. These equations also lead to a simple calculation for the frame independent speed of electromagnetic waves in a vacuum."--Cover. Preface -- Introduction of the paradoxes -- Clocks and rods in motion -- The algebra in frames -- The graphing in frames -- Galilean transformation -- Constant c in spacetime -- Lorentz transformation -- The hyperbola of time-stamped origins -- The accommodating universe paradox -- The length-time comparison paradoxes -- The twin paradox -- The train-tunnel paradox -- The pea-shooter paradox -- The bug-rivet paradox -- E = mc² -- The nature of waves -- Maxwell's mathematical toolkit -- Electric and magnetic fields -- Electricity and magnetism: Gauss' laws -- Towards Maxwell's equations -- Electromagnetism: a qualitative view -- Electromagnetism: a quantitative view -- Epilogue: final thoughts -- Appendices. Print version record. Algebras, Linear. http://id.loc.gov/authorities/subjects/sh85003441 Special relativity (Physics) http://id.loc.gov/authorities/subjects/sh85126383 Algèbre linéaire. Relativité restreinte (Physique) MATHEMATICS Algebra Intermediate. bisacsh SCIENCE Physics Mathematical & Computational. bisacsh Algebras, Linear fast Special relativity (Physics) fast Wudka, Jose. Print version: De Pillis, John. Illustrated special relativity through its paradoxes 9780615947655 (OCoLC)872267164 Spectrum series. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=759516 Volltext |
| spellingShingle | De Pillis, John Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / Spectrum series. Preface -- Introduction of the paradoxes -- Clocks and rods in motion -- The algebra in frames -- The graphing in frames -- Galilean transformation -- Constant c in spacetime -- Lorentz transformation -- The hyperbola of time-stamped origins -- The accommodating universe paradox -- The length-time comparison paradoxes -- The twin paradox -- The train-tunnel paradox -- The pea-shooter paradox -- The bug-rivet paradox -- E = mc² -- The nature of waves -- Maxwell's mathematical toolkit -- Electric and magnetic fields -- Electricity and magnetism: Gauss' laws -- Towards Maxwell's equations -- Electromagnetism: a qualitative view -- Electromagnetism: a quantitative view -- Epilogue: final thoughts -- Appendices. Algebras, Linear. http://id.loc.gov/authorities/subjects/sh85003441 Special relativity (Physics) http://id.loc.gov/authorities/subjects/sh85126383 Algèbre linéaire. Relativité restreinte (Physique) MATHEMATICS Algebra Intermediate. bisacsh SCIENCE Physics Mathematical & Computational. bisacsh Algebras, Linear fast Special relativity (Physics) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85003441 http://id.loc.gov/authorities/subjects/sh85126383 |
| title | Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / |
| title_auth | Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / |
| title_exact_search | Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / |
| title_full | Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / John de Pillis, José Wudka ; illustrations and animations by John de Pillis. |
| title_fullStr | Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / John de Pillis, José Wudka ; illustrations and animations by John de Pillis. |
| title_full_unstemmed | Illustrated special relativity through its paradoxes : a fusion of linear algebra, graphics, and reality / John de Pillis, José Wudka ; illustrations and animations by John de Pillis. |
| title_short | Illustrated special relativity through its paradoxes : |
| title_sort | illustrated special relativity through its paradoxes a fusion of linear algebra graphics and reality |
| title_sub | a fusion of linear algebra, graphics, and reality / |
| topic | Algebras, Linear. http://id.loc.gov/authorities/subjects/sh85003441 Special relativity (Physics) http://id.loc.gov/authorities/subjects/sh85126383 Algèbre linéaire. Relativité restreinte (Physique) MATHEMATICS Algebra Intermediate. bisacsh SCIENCE Physics Mathematical & Computational. bisacsh Algebras, Linear fast Special relativity (Physics) fast |
| topic_facet | Algebras, Linear. Special relativity (Physics) Algèbre linéaire. Relativité restreinte (Physique) MATHEMATICS Algebra Intermediate. SCIENCE Physics Mathematical & Computational. Algebras, Linear |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=759516 |
| work_keys_str_mv | AT depillisjohn illustratedspecialrelativitythroughitsparadoxesafusionoflinearalgebragraphicsandreality AT wudkajose illustratedspecialrelativitythroughitsparadoxesafusionoflinearalgebragraphicsandreality |