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References
- 1 2 3 4 5 "CV Tilman Sauer". Geschichte der Mathematik, Universität Mainz.
- ↑ "Tilman Sauer. List of Publications, Date: February 15, 2021" (PDF). Universität Mainz.
- ↑ Sauer, Tilman (2004). "Albert Einstein's 1916 Review Article on General Relativity". arXiv: physics/0405066 .
- 1 2 Sauer, Tilman (2004). "The challenge of editing Einstein's scientific manuscripts". Documentary Editing. 26: 145–165. arXiv: physics/0412142 . Bibcode:2004physics..12142S.
- ↑ Majer, Ulrich (2010). "The Hilbert Edition: What is it and what is it good for?". Philosophia Scientiae. 14 (1): 141–152. doi:10.4000/philosophiascientiae.138.
- ↑ Brief biography of Sauer, Max Planck Institute for the History of Science
- ↑ "PD Dr. Tilman Sauer". 2012. Archived from the original on 2013-10-02.
- ↑ The importance of the 1912 Zurich notebook was first recognized by John Stachel. Using the 1912 notebook, parts of the GR early history were developed by John D. Norton and published in 1984. Norton, John (1984). "How Einstein found his field equations, 1912-1915" (PDF). Historical Studies in the Physical Sciences. 14 (2): 253–316. doi:10.2307/27757535. JSTOR 27757535. Among other things, Norton found that Einstein had already in 1912 developed ideas on gravitational lensing, which were first published in the 1936 paper Lens-like action of a star by deviation of light in the gravitational field, doi : 10.1126/science.84.2188.506.
- ↑ Renn, Jürgen; Sauer, Tilman; Stachel, John (1997). "The origin of gravitational lensing: A postscript to Einstein's 1936 Science paper". Science. 275 (5297): 184–186. Bibcode:1997Sci...275..184R. doi:10.1126/science.275.5297.184. PMID 8985006. S2CID 43449111.
- ↑ "Eclipses of the stars: Mandl, Einstein, and the early history of gravitational lensing by J. Renn and T. Sauer". Revisiting the Foundations of Relativistic Physics: Festschrift in Honor of John Stachel. Kluwer. 2003. pp. 69–92; Abhay Ashtekar, Robert Cohen, Don Howard, Jürgen Renn, Sahotra Sarkar, Abner Shimony (eds.)
{{cite book}}: CS1 maint: postscript (link) preprint, translated into German in Renn, J.; Sauer, T. (2005). "Im Rampenlicht der Sterne. Einstein, Mandl und die Ursprünge der Gravitationslinsenforschung; Im Rampenlicht dedddddddddr Sterne. Einstein, Mandl und die Ursprünge der Gravitationslinsenforschung". Acta Historica Astronomiae. 27: 210–239. Bibcode:2005AcHA...27..210R. - ↑ Siegfried, Tom (October 1, 2015). "The amateur who helped Einstein see the light". Science News (Sciencenews.org).
- ↑ Sauer, T. (1999). "The Relativity of Discovery: Hilbert's First Note on the Foundations of Physics". Archive History Exact Sciences. 53: 529–575. arXiv: physics/9811050 .
- ↑ Sauer, T. (2005). "Einstein equations and Hilbert action: What is missing from page 8 of the evidence for Hilbert's first communication on the foundations of physics?". Archives for the History of the Exact Sciences. 59: 577–590. doi:10.1007/s00407-005-0100-6.. The first set of page proofs of Hilbert's paper was investigated by Leo Corry, Jürgen Renn, and John Stachel. Corry, L.; Renn, J.; Stachel, J. (1997). "Belated decision in the Hilbert-Einstein priority dispute". Science. 278 (5341): 1270–1273. Bibcode:1997Sci...278.1270C. doi:10.1126/science.278.5341.1270. Daniela Wuensch disputed the opinions of Corry, Renn, and Stachel. Wünsch, Daniela (2005). "New research on the discovery of the field equations of the general relativity by David Hilbert and Albert Einstein" (PDF). Astronomische Nachrichten. 326: 636–637. Bibcode:2005AN....326..636W.
- ↑ Sauer, Tilman (2001). "The Feynman path goes Monte Carlo". In Bachmann, Michael; Janke, Wolfhard; Pelster, Axel; Schmidt, Hans-Jürgen (eds.). Fluctuating paths and fields: festschrift dedicated to Hagen Kleinert on the occasion of his 60th birthday. World Scientific. pp. 29–42. arXiv: physics/0107010 . doi:10.1142/9789812811240_0003. ISBN 978-981-02-4648-8. S2CID 11013017.
- ↑ Janke, Wolfhard; Pelster, Axel, eds. (2008). "Remarks on the origin of path integration: Einstein and Feynman by Tilman Sauer". Path Integrals—New Trends and Perspectives: Proceedings of the 9th International Conference, held in Dresden, Germany, September 23 – 28, 2007. World Scientific. pp. 3–13. arXiv: 0801.1654 . doi:10.1142/9789812837271_0001. ISBN 978-981-283-726-4. S2CID 14502716.
- ↑ "Euler-Vorlesung: Archiv".
