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
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Washington : , : Mathematical Association of America, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
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
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[Washington, District of Columbia] : , : Mathematical Association of America, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Introduction to special relativity / Robert Resnick |
Autore | Resnick, Robert |
Pubbl/distr/stampa | New York : John Wiley & Sons, c1968 |
Descrizione fisica | x, 226 p. : ill. ; 23 cm |
Disciplina | 530.11 |
Soggetto topico | Special relativity (Physics) |
ISBN | 9780471717256 |
Classificazione |
53.1.51
LC QC6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003074659707536 |
Resnick, Robert
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New York : John Wiley & Sons, c1968 | ||
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Lo trovi qui: Univ. del Salento | ||
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Introduction to special relativity [by] Herman M. Schwartz |
Autore | Schwartz, Herman Meyer |
Pubbl/distr/stampa | New York : McGraw-Hill, [c1968] |
Descrizione fisica | 458 p. : ill. ; 23 cm |
Disciplina | 530.11 |
Collana | International series in pure and applied physics |
Soggetto topico | Special relativity (Physics) |
Classificazione | LC QC6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003809039707536 |
Schwartz, Herman Meyer
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New York : McGraw-Hill, [c1968] | ||
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Lo trovi qui: Univ. del Salento | ||
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Introduction to the basic concepts of modern physics: special relativity, quantum and statistical physics / Carlo Maria Becchi, Massimo D'Elia |
Autore | Becchi, Carlo Maria |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Milan ; New York : Springer, c2016 |
Descrizione fisica | x, 243 p. ; 24 cm |
Disciplina | 530 |
Altri autori (Persone) | D'Elia, Massimoauthor |
Collana | Unitext |
Soggetto topico |
Special relativity (Physics)
Statistical physics Quantum field theory |
ISBN | 9783319206295 |
Classificazione |
LC QC173.65
53.1.4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991002856069707536 |
Becchi, Carlo Maria
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Milan ; New York : Springer, c2016 | ||
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Lo trovi qui: Univ. del Salento | ||
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Introduction to the basic concepts of modern physics: [special relativity, quantum and statistical physics] / Carlo Maria Becchi, Massimo D'Elia |
Autore | Becchi, Carlo Maria |
Pubbl/distr/stampa | Milan ; New York : Springer, c2007 |
Descrizione fisica | x, 155 p. ; 24 cm |
Disciplina | 530.11 |
Altri autori (Persone) | D'Elia, Massimoauthor |
Collana | Unitext |
Soggetto topico |
Special relativity (Physics)
Statistical physics Quantum field theory |
ISBN |
9788847006065
8847006066 |
Classificazione |
LC QC173.65
53.1.51 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003822329707536 |
Becchi, Carlo Maria
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Milan ; New York : Springer, c2007 | ||
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Lo trovi qui: Univ. del Salento | ||
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Manuale di relatività ristretta : per la laurea triennale in fisica / Maurizio Gasperini |
Autore | Gasperini, Maurizio |
Pubbl/distr/stampa | Milano : Springer, 2010 |
Descrizione fisica | xv, 158 p. : ill. ; 24 cm |
Disciplina | 530.11 |
Collana | Collana di fisica e astronomia |
Soggetto topico | Special relativity (Physics) |
ISBN | 9788847016040 |
Classificazione |
AMS 83-01
AMS 83A05 LC QC173.65.G37 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNISALENTO-991003613479707536 |
Gasperini, Maurizio
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Milano : Springer, 2010 | ||
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Lo trovi qui: Univ. del Salento | ||
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The mathematics of Minkowski space-time [[electronic resource] ] : with an introduction to commutative hypercomplex numbers / / Francesco Catoni ... [et al.] |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Basel ; ; Boston, : Birkhäuser, c2008 |
Descrizione fisica | 1 online resource (271 p.) |
Disciplina | 516.374 |
Altri autori (Persone) | CatoniFrancesco |
Collana | Frontiers in mathematics |
Soggetto topico |
Generalized spaces
Special relativity (Physics) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-49123-3
9786611491239 3-7643-8614-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | N-Dimensional Commutative Hypercomplex Numbers -- The Geometries Generated by Hypercomplex Numbers -- Trigonometry in the Minkowski Plane -- Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox) -- General Two-Dimensional Hypercomplex Numbers -- Functions of a Hyperbolic Variable -- Hyperbolic Variables on Lorentz Surfaces -- Constant Curvature Lorentz Surfaces -- Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle). |
Record Nr. | UNINA-9910451275703321 |
Basel ; ; Boston, : Birkhäuser, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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The mathematics of Minkowski space-time [[electronic resource] ] : with an introduction to commutative hypercomplex numbers / / Francesco Catoni ... [et al.] |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Basel ; ; Boston, : Birkhäuser, c2008 |
Descrizione fisica | 1 online resource (271 p.) |
Disciplina | 516.374 |
Altri autori (Persone) | CatoniFrancesco |
Collana | Frontiers in mathematics |
Soggetto topico |
Generalized spaces
Special relativity (Physics) |
ISBN |
1-281-49123-3
9786611491239 3-7643-8614-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | N-Dimensional Commutative Hypercomplex Numbers -- The Geometries Generated by Hypercomplex Numbers -- Trigonometry in the Minkowski Plane -- Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox) -- General Two-Dimensional Hypercomplex Numbers -- Functions of a Hyperbolic Variable -- Hyperbolic Variables on Lorentz Surfaces -- Constant Curvature Lorentz Surfaces -- Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle). |
Record Nr. | UNINA-9910777458603321 |
Basel ; ; Boston, : Birkhäuser, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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The mathematics of Minkowski space-time [[electronic resource] ] : with an introduction to commutative hypercomplex numbers / / Francesco Catoni ... [et al.] |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Basel ; ; Boston, : Birkhäuser, c2008 |
Descrizione fisica | 1 online resource (271 p.) |
Disciplina | 516.374 |
Altri autori (Persone) | CatoniFrancesco |
Collana | Frontiers in mathematics |
Soggetto topico |
Generalized spaces
Special relativity (Physics) |
ISBN |
1-281-49123-3
9786611491239 3-7643-8614-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | N-Dimensional Commutative Hypercomplex Numbers -- The Geometries Generated by Hypercomplex Numbers -- Trigonometry in the Minkowski Plane -- Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox) -- General Two-Dimensional Hypercomplex Numbers -- Functions of a Hyperbolic Variable -- Hyperbolic Variables on Lorentz Surfaces -- Constant Curvature Lorentz Surfaces -- Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle). |
Record Nr. | UNINA-9910823268003321 |
Basel ; ; Boston, : Birkhäuser, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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