Janssen, Michel
How Einstein found his field equations : sources and interpretation - Cham, Switzerland : Birkhäuser (Springer Nature), [c2022] - 357 p. - Classic texts in the sciences .
Part I Essay
Chapter 1 Overview of the Contents of this Volume
Chapter 2 From the Entwurf field equations to the Einstein field equations: a first pass
Chapter 3 The Zurich Notebook: How Einstein found the Entwurf field equations
Chapter 4 Consolidating the Entwurf Theory
Chapter 5 The Entwurf field equations as the scaffold for the Einstein field equations
Chapter 6 Mercury’s perihelion : From 18” in the Entwurf theory to the 43” in general relativity
Chapter 7 Beyond the search for field equations
Part II Sources
Chapter 1 The Zurich Notebook (1912-13)
Chapter 2 The Einstein-Besso Manuscript (1913)
Chapter 3 The Formal Foundation of the General Theory of Relativity. The Differential Equations of the Gravitational Field(Part D, §§12-15)
Chapter 4 Einstein to Erwin Freundlich, September 30, 1915
Chapter 5 Einstein to A. Lorentz, October 12, 1915
Chapter 5 The November 1915 Papers
Chapter 7 Einstein to Arnold Sommerfeld, November 28, 1915
Chapter 8 Einstein to Paul Ehrenfest, January, 1916
Chapter 9 The Foundation of the General Theory of Relativity. Riemann-Christoffel tensor (§12) and Theory of the Gravitational Field (Part C, §§13–18)
Chapter 10 Hamilton’s Principle and the General Theory of Relativity
Einstein's field equations of gravitation are a core element of his general theory of relativity. In four short communications to the Prussian Academy of Sciences in Berlin in November 1015, we can follow the final steps toward these equations and the resulting theory's spectacular success in accounting for the anomalous motion of Mercury's perihelion. This source book provides an expert guide to these four groundbreaking papers. Following an introductory essay placing these papers in the context of the development of Einstein's theory, it presents and analyzes, in addition to the four papers of November 1915, a careful selection of (critical excerpts from) papers, letters, and manuscripts documenting the path that early on led Einstein to the field equations of the first November 1915 paper, but then took a turn away from them only to lead back to them in the end. Drawing on extensive research at the Einstein Papers Project and the Max Planck Institute for History of Science, this volume traces the intricate interplay between considerations of physics and considerations of mathematics that guided Einstein along this path. It thus presents a concise yet authoritative account of how Einstein found his field equations, affording readers who are prepared to immerse themselves in these intricacies a unique glimpse of Einstein at work at the height of his creative prowess. Highlights of this journey in Einstein's footsteps include the crucial pages (with detailed annotation) from the Zurich Notebook, the record of Einstein's early search for field equation with his mathematician friend Marcel Grossmann, and the Einstein-Besso manuscript, documenting Einstein's attempts with his friend and confidant Michele Besso to explain the Mercury anomaly on the basis of the equations that he and Grossmann had eventually settled on in the Zurich Notebook.---summary provided by publisher
9783030979577
QC173.6
How Einstein found his field equations : sources and interpretation - Cham, Switzerland : Birkhäuser (Springer Nature), [c2022] - 357 p. - Classic texts in the sciences .
Part I Essay
Chapter 1 Overview of the Contents of this Volume
Chapter 2 From the Entwurf field equations to the Einstein field equations: a first pass
Chapter 3 The Zurich Notebook: How Einstein found the Entwurf field equations
Chapter 4 Consolidating the Entwurf Theory
Chapter 5 The Entwurf field equations as the scaffold for the Einstein field equations
Chapter 6 Mercury’s perihelion : From 18” in the Entwurf theory to the 43” in general relativity
Chapter 7 Beyond the search for field equations
Part II Sources
Chapter 1 The Zurich Notebook (1912-13)
Chapter 2 The Einstein-Besso Manuscript (1913)
Chapter 3 The Formal Foundation of the General Theory of Relativity. The Differential Equations of the Gravitational Field(Part D, §§12-15)
Chapter 4 Einstein to Erwin Freundlich, September 30, 1915
Chapter 5 Einstein to A. Lorentz, October 12, 1915
Chapter 5 The November 1915 Papers
Chapter 7 Einstein to Arnold Sommerfeld, November 28, 1915
Chapter 8 Einstein to Paul Ehrenfest, January, 1916
Chapter 9 The Foundation of the General Theory of Relativity. Riemann-Christoffel tensor (§12) and Theory of the Gravitational Field (Part C, §§13–18)
Chapter 10 Hamilton’s Principle and the General Theory of Relativity
Einstein's field equations of gravitation are a core element of his general theory of relativity. In four short communications to the Prussian Academy of Sciences in Berlin in November 1015, we can follow the final steps toward these equations and the resulting theory's spectacular success in accounting for the anomalous motion of Mercury's perihelion. This source book provides an expert guide to these four groundbreaking papers. Following an introductory essay placing these papers in the context of the development of Einstein's theory, it presents and analyzes, in addition to the four papers of November 1915, a careful selection of (critical excerpts from) papers, letters, and manuscripts documenting the path that early on led Einstein to the field equations of the first November 1915 paper, but then took a turn away from them only to lead back to them in the end. Drawing on extensive research at the Einstein Papers Project and the Max Planck Institute for History of Science, this volume traces the intricate interplay between considerations of physics and considerations of mathematics that guided Einstein along this path. It thus presents a concise yet authoritative account of how Einstein found his field equations, affording readers who are prepared to immerse themselves in these intricacies a unique glimpse of Einstein at work at the height of his creative prowess. Highlights of this journey in Einstein's footsteps include the crucial pages (with detailed annotation) from the Zurich Notebook, the record of Einstein's early search for field equation with his mathematician friend Marcel Grossmann, and the Einstein-Besso manuscript, documenting Einstein's attempts with his friend and confidant Michele Besso to explain the Mercury anomaly on the basis of the equations that he and Grossmann had eventually settled on in the Zurich Notebook.---summary provided by publisher
9783030979577
QC173.6