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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 [[electronic resource]]
| 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 [[electronic resource]] |
| Autore | De Pillis John |
| Edizione | [1st edition.] |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2015 |
| Descrizione fisica | 1 online resource (xvi, 464 pages) : digital, PDF file(s) |
| Disciplina | 512.5 |
| Collana | Spectrum |
| Soggetto topico |
Algebras, Linear
Special relativity (Physics) |
| ISBN | 1-61444-517-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
front cover; copyright page; Contents; I. A FIRST PASS ; Preface; Exposition and Paradoxes; Organization of this Book; Introduction to the Paradoxes; Aristotle vs. Galileo; Frames of Reference; Straight-Line Trajectories in 3-Space; Galilean Relativity; Special Relativity: A First Pass; A Symmetry Principle; Lorentzian Relativity; The Ubiquitous Shrinkage Constant; Paradox: The Accommodating Universe; Paradox: Time and Distance Asymmetry; Paradox: The Traveling Twin; Paradox: The Train in the Tunnel; Paradox: The Pea-Shooter; Paradox: The Bug and Rivet; Exercises; Clocks and Rods in Motion
The Perfect ClockSynchronizing Clocks within a Single Frame; Moving Clocks Run Slow, Moving Rods Shrink; Exercises; The Algebra of Frames; Inertial Frames of Reference; Vector Space Structure of Frames; Several Parallel Moving Frames; Six Rules for Frames; Exercises; The Graphing of Frames; The Filmstrip Model of Spacetime; Constant Velocities in Spacetime; Worldlines are Parallel to the Home Frame Time Axis; Simultaneous and Static Events; Linearity of Line-of-Sight Functions; Exercises; II. GALILEAN TRANSFORMATIONS OF FRAMES ; Galilean Transformations; Key Ideas; Galilean Spacetime Diagrams The Galilean MatrixPattern of the Galilean Matrix; Addition of Speeds via Matrices; Addition of Speeds via Areas; III. The SPEED OF LIGHT IS CONSTANT ; Constant c in Spacetime; Minkowski Spacetime Diagrams; Constant c and Simultaneity; How Constant c Destroys Simultaneity; Exercise; IV. LORENTZ TRANSFORMATIONS OF FRAMES ; Lorentz Transformations; The Lorentz Matrix; Pattern of the Lorentz Matrix; The Lorentz Sum of Speeds; Addition of Speeds via Matrices; Addition of Speeds via Areas; Exercises; The Hyperbola of Time-Stamped Origins; Invariance of Minkowski Length The Time-Stamped Origins TheoremInterpreting the Time-Stamped Origins Theorem; Tangent Lines of Simultaneity; Exercises; V. GRAPHIC RESOLUTION OF THE PARADOXES ; The Accommodating Universe Paradox; Preview; Setup for the Minkowski Diagram; Resolving the Accommodating Universe; Exercises; The Length-Time Comparison Paradoxes; An Overview of the Paradoxes; Resolving the Mutual Length-Time Paradoxes; Summary; Exercises; The Twin Paradox; An Overview of the Paradox ; A Simplifying Assumption; Setup for the Minkowski Diagram; Resolving the Twin Paradox; General Relativity Confirmation; Exercises The Train-Tunnel ParadoxAn Overview of the Paradox ; A Distance Lemma; The Train-Tunnel Minkowski Diagram; Explaining Mutual Contraction; Resolving the Train-Tunnel Paradox; Exercises; The Pea-Shooter Paradox; An Overview of the Paradox; The Fizeau Experiment: Adding Speeds; Exercises; The Bug-Rivet Paradox; The Minkowski Diagram; Coordinates in the Minkowski Diagram; The Slinky Connection; Exercises; VI. ENERGY AND MASS ; E = mc2; How We Came to This Place; Speed-Dependent Mass: an Intuitive View; Equivalence of Mass and Energy; A Numerical Example; Exercises VII. THE MATHEMATICS OF WAVES AND LIGHT |
| Record Nr. | UNINA-9910792159003321 |
De Pillis John
|
||
| Washington : , : Mathematical Association of America, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 [[electronic resource]]
| 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 [[electronic resource]] |
| Autore | De Pillis John |
| Edizione | [1st edition.] |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2015 |
| Descrizione fisica | 1 online resource (xvi, 464 pages) : digital, PDF file(s) |
| Disciplina | 512.5 |
| Collana | Spectrum |
| Soggetto topico |
Algebras, Linear
Special relativity (Physics) |
| ISBN | 1-61444-517-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
front cover; copyright page; Contents; I. A FIRST PASS ; Preface; Exposition and Paradoxes; Organization of this Book; Introduction to the Paradoxes; Aristotle vs. Galileo; Frames of Reference; Straight-Line Trajectories in 3-Space; Galilean Relativity; Special Relativity: A First Pass; A Symmetry Principle; Lorentzian Relativity; The Ubiquitous Shrinkage Constant; Paradox: The Accommodating Universe; Paradox: Time and Distance Asymmetry; Paradox: The Traveling Twin; Paradox: The Train in the Tunnel; Paradox: The Pea-Shooter; Paradox: The Bug and Rivet; Exercises; Clocks and Rods in Motion
The Perfect ClockSynchronizing Clocks within a Single Frame; Moving Clocks Run Slow, Moving Rods Shrink; Exercises; The Algebra of Frames; Inertial Frames of Reference; Vector Space Structure of Frames; Several Parallel Moving Frames; Six Rules for Frames; Exercises; The Graphing of Frames; The Filmstrip Model of Spacetime; Constant Velocities in Spacetime; Worldlines are Parallel to the Home Frame Time Axis; Simultaneous and Static Events; Linearity of Line-of-Sight Functions; Exercises; II. GALILEAN TRANSFORMATIONS OF FRAMES ; Galilean Transformations; Key Ideas; Galilean Spacetime Diagrams The Galilean MatrixPattern of the Galilean Matrix; Addition of Speeds via Matrices; Addition of Speeds via Areas; III. The SPEED OF LIGHT IS CONSTANT ; Constant c in Spacetime; Minkowski Spacetime Diagrams; Constant c and Simultaneity; How Constant c Destroys Simultaneity; Exercise; IV. LORENTZ TRANSFORMATIONS OF FRAMES ; Lorentz Transformations; The Lorentz Matrix; Pattern of the Lorentz Matrix; The Lorentz Sum of Speeds; Addition of Speeds via Matrices; Addition of Speeds via Areas; Exercises; The Hyperbola of Time-Stamped Origins; Invariance of Minkowski Length The Time-Stamped Origins TheoremInterpreting the Time-Stamped Origins Theorem; Tangent Lines of Simultaneity; Exercises; V. GRAPHIC RESOLUTION OF THE PARADOXES ; The Accommodating Universe Paradox; Preview; Setup for the Minkowski Diagram; Resolving the Accommodating Universe; Exercises; The Length-Time Comparison Paradoxes; An Overview of the Paradoxes; Resolving the Mutual Length-Time Paradoxes; Summary; Exercises; The Twin Paradox; An Overview of the Paradox ; A Simplifying Assumption; Setup for the Minkowski Diagram; Resolving the Twin Paradox; General Relativity Confirmation; Exercises The Train-Tunnel ParadoxAn Overview of the Paradox ; A Distance Lemma; The Train-Tunnel Minkowski Diagram; Explaining Mutual Contraction; Resolving the Train-Tunnel Paradox; Exercises; The Pea-Shooter Paradox; An Overview of the Paradox; The Fizeau Experiment: Adding Speeds; Exercises; The Bug-Rivet Paradox; The Minkowski Diagram; Coordinates in the Minkowski Diagram; The Slinky Connection; Exercises; VI. ENERGY AND MASS ; E = mc2; How We Came to This Place; Speed-Dependent Mass: an Intuitive View; Equivalence of Mass and Energy; A Numerical Example; Exercises VII. THE MATHEMATICS OF WAVES AND LIGHT |
| Record Nr. | UNINA-9910819823803321 |
|
De Pillis John
|
||
| Washington : , : Mathematical Association of America, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Autore | De Pillis John |
| Pubbl/distr/stampa | [Washington, District of Columbia] : , : Mathematical Association of America, , 2013 |
| Descrizione fisica | 1 online resource (0 p.) |
| Disciplina | 512.5 |
| Collana | Spectrum |
| Soggetto topico |
Algebras, Linear
Special relativity (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61444-517-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
front cover; copyright page; Contents; I. A FIRST PASS ; Preface; Exposition and Paradoxes; Organization of this Book; Introduction to the Paradoxes; Aristotle vs. Galileo; Frames of Reference; Straight-Line Trajectories in 3-Space; Galilean Relativity; Special Relativity: A First Pass; A Symmetry Principle; Lorentzian Relativity; The Ubiquitous Shrinkage Constant; Paradox: The Accommodating Universe; Paradox: Time and Distance Asymmetry; Paradox: The Traveling Twin; Paradox: The Train in the Tunnel; Paradox: The Pea-Shooter; Paradox: The Bug and Rivet; Exercises; Clocks and Rods in Motion
The Perfect ClockSynchronizing Clocks within a Single Frame; Moving Clocks Run Slow, Moving Rods Shrink; Exercises; The Algebra of Frames; Inertial Frames of Reference; Vector Space Structure of Frames; Several Parallel Moving Frames; Six Rules for Frames; Exercises; The Graphing of Frames; The Filmstrip Model of Spacetime; Constant Velocities in Spacetime; Worldlines are Parallel to the Home Frame Time Axis; Simultaneous and Static Events; Linearity of Line-of-Sight Functions; Exercises; II. GALILEAN TRANSFORMATIONS OF FRAMES ; Galilean Transformations; Key Ideas; Galilean Spacetime Diagrams The Galilean MatrixPattern of the Galilean Matrix; Addition of Speeds via Matrices; Addition of Speeds via Areas; III. The SPEED OF LIGHT IS CONSTANT ; Constant c in Spacetime; Minkowski Spacetime Diagrams; Constant c and Simultaneity; How Constant c Destroys Simultaneity; Exercise; IV. LORENTZ TRANSFORMATIONS OF FRAMES ; Lorentz Transformations; The Lorentz Matrix; Pattern of the Lorentz Matrix; The Lorentz Sum of Speeds; Addition of Speeds via Matrices; Addition of Speeds via Areas; Exercises; The Hyperbola of Time-Stamped Origins; Invariance of Minkowski Length The Time-Stamped Origins TheoremInterpreting the Time-Stamped Origins Theorem; Tangent Lines of Simultaneity; Exercises; V. GRAPHIC RESOLUTION OF THE PARADOXES ; The Accommodating Universe Paradox; Preview; Setup for the Minkowski Diagram; Resolving the Accommodating Universe; Exercises; The Length-Time Comparison Paradoxes; An Overview of the Paradoxes; Resolving the Mutual Length-Time Paradoxes; Summary; Exercises; The Twin Paradox; An Overview of the Paradox ; A Simplifying Assumption; Setup for the Minkowski Diagram; Resolving the Twin Paradox; General Relativity Confirmation; Exercises The Train-Tunnel ParadoxAn Overview of the Paradox ; A Distance Lemma; The Train-Tunnel Minkowski Diagram; Explaining Mutual Contraction; Resolving the Train-Tunnel Paradox; Exercises; The Pea-Shooter Paradox; An Overview of the Paradox; The Fizeau Experiment: Adding Speeds; Exercises; The Bug-Rivet Paradox; The Minkowski Diagram; Coordinates in the Minkowski Diagram; The Slinky Connection; Exercises; VI. ENERGY AND MASS ; E = mc2; How We Came to This Place; Speed-Dependent Mass: an Intuitive View; Equivalence of Mass and Energy; A Numerical Example; Exercises VII. THE MATHEMATICS OF WAVES AND LIGHT |
| Record Nr. | UNINA-9910465624603321 |
|
De Pillis John
|
||
| [Washington, District of Columbia] : , : Mathematical Association of America, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||