The Theory and Its Philosophy
E-Book, Englisch, 272 Seiten
ISBN: 978-1-4831-3926-5
Verlag: Elsevier Reference Monographs
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Relativity: The Theory and its Philosophy;4
3;Copyright Page;5
4;Table of Contents;8
5;Dedicated;6
6;Preface;10
7;List of Logical Symbols;12
8;Chapter 1. Mathematical Preliminaries;14
8.1;Sets, Relations, Functions;14
8.2;N-tuples, Vectors, Matrices, and other Items;20
8.3;A Trigonometric Digression;28
8.4;Vector Algebra;29
8.5;The Calculus;41
8.6;Bibliography for Chapter 1;53
9;Chapter 2. Relativity and Newtonian Mechanics;54
9.1;The Concept of Relativity;54
9.2;Elementary Foundations of Newtonian Mechanics;57
9.3;The Principle of Classical Relativity;62
9.4;Bibiliography for Chapter 2;72
10;Chapter 3. The Principle of Special Relativity;74
10.1;The Breakdown of Classical Relativity;74
10.2;Relativistic Kinematics;76
10.3;Four-Vector Formalism and Space-Time Geometry;94
10.4;Relativistic Mechanics;104
10.5;The Principle of Special Relativity;109
10.6;Bibliography for Chapter 3;114
11;Chapter 4. Empiricism, Rationalism and Special Relativity;116
11.1;Relativity and the A Priori in the Philosophy of Eddington;117
11.2;The Transcendentalism of J. R. Lucas;123
11.3;The Radical Empiricism of Percy Bridgman;128
11.4;The Liberalized Empiricism of the Logical Positivists;132
11.5;Bibliography for Chapter 4;135
12;Chapter 5. Special Relativity and Conventionalism;136
12.1;The Conventionality of Simultaneity;138
12.2;Bibliography for Chapter 5;151
13;Chapter 6. The Commensurability of Classical and Relativistic Mechanics;153
13.1;Bibliography for Chapter 6;161
14;Chapter 7. More Mathematics;162
14.1;Motivation;162
14.2;Curvilinear Coordinates;164
14.3;Tensors and their Algebra;168
14.4;Tensor Calculus;173
14.5;The Riemann-Christoffel Tensor;182
14.6;Bibliography for Chapter 7;184
15;Chapter 8. The Path to General Relativity;186
15.1;The Classical Theory of Gravitation;186
15.2;The Field-Theoretic Standpoint;190
15.3;Mach's Principle;193
15.4;The Principle of Equivalence;195
15.5;The Principle of General Covariance;199
15.6;Bibliography for Chapter 8;203
16;Chapter 9. An Outline of General Relativity;204
16.1;Bibliography for Chapter 9;220
17;Chapter 10. Relativity and Covariance;221
17.1;Bibliography for Chapter 10;238
18;Chapter 11. Spacetime and Geometry;239
18.1;The Distinction Between Pure and Applied Mathematics;239
18.2;The Geometric Conventionalism of Henri Poincaré;242
18.3;The Geometric Empiricism of Hans Reichenbach;245
18.4;Geochronometric Conventionalism;249
18.5;A Critique of Geochronometric Conventionalism;253
18.6;General Relativity and Space-time Structure;257
18.7;The Ontology of Spacetime;262
18.8;Bibliography for Chapter 11;265
19;Index;268
