Part 8
Some functional equations in the theory of relativity. American Mathematical Society. _Bulletin_, Lancaster, Pa., 1919, vol. 26, pp. 26-34.
MICHELSON, A. A., and MORLEY, E. W.
The Relative Motion of the Earth and the Luminiferous Ether. _American Journal of Science_, 1887, vol. 34, p. 333.
See also: _Astro-Physical Journal_, vol. 37, pp. 100-193. The report of the crucial experiments that upset the idea of a stationary ether.
MINKOWSKI, HERMANN.
Relativitätsprinzip. _Jahresbericht der Deutschen Mathematiker-Vereinigung._ Leipzig, 1915, Band, 24, pp. 1241-1244.
NORDSTRÖM, GUNNAR.
Einstein’s theory of gravitation and Herglotz’s mechanics of continua. Koninklijke Akademie van Wetenschappen. _Proceedings_, Amsterdam, 1917, vol. 19.
NORDSTRÖM, G.
On the Energy of the Gravitation Field in Einstein’s Theory. Koninklijke Akademie van Wetenschappen. _Proceedings_, Amsterdam, 1918, vol. 20, pp. 1238-1245.
PALATINI, A.
La Teoria di Relatività nel suo Sviluppo Storieo. _Scientia_, Nov. and Dec., 1919 (in Italian and French).
PLANCK, MAX.
Zur Dynamik bewegter Systeme. Königlich Preussischen Akademie der Wissenschaften. _Sitzungberichte_, Berlin, 1907, pp. 542-570.
His theory.
PETZOLDT, J.
Does the Relativity Theory Exclude the Reality of Space and Time? _Deutsche Phys. Gesell._, Dec. 30, 1918.
RITZ, W.
La gravitation. _Scientia_, Bologna, 1909, vol. 5, pp. 152-165.
RUFUS, CARL.
Relativity in astronomy. _Popular Astronomy_, Northfield, Minn., 1918, vol. 26, pp. 160-165.
SILBERSTEIN, L.
The Theory of Relativity. London: Macmillan, 1914, 92 p.
SITTER, W. DE.
On Einstein’s theory of gravitation, and its astronomical consequences. Royal Astronomical Society. _Monthly Notices_, London, 1915-18, vol. 76, pp. 699-728; vol. 77, pp. 155-184; vol. 78, pp. 3-28.
On the relativity of rotation in Einstein’s theory. Koninklijke Akademie van Wetenschappen. _Proceedings_, Amsterdam, 1917, vol. 19, pp. 527-532.
On the relativity of inertia. Remarks concerning Einstein’s latest hypothesis. Koninklijke Akademie van Wetenschappen. _Proceedings_, Amsterdam, 1917, vol. 19, pp. 1217-1255.
Planetary motion and the motion of the moon according to Einstein’s theory. Koninklijke Akademie van Wetenschappen. _Proceedings_, Amsterdam, 1916, vol. 19, pp. 367-381.
Further Remarks on the Solutions of the Field-equations of Einstein’s Theory of Gravitation. Koninklijke Akademie van Wetenschappen. _Proceedings_, Amsterdam, 1918, vol. 20, pp. 1309-1312.
ST. JOHN, CHARLES EDWARD.
The principle of generalized relativity and the displacement of the Fraunhofer lines toward the red. Carnegie Institution of Washington. _Contributions of the Mount_ _Wilson Solar Observatory_, Washington, vol. 7, no. 138.
TRESLIN, J.
The equations of the theory of electrons in a gravitation field of Einstein deduced from a variation principle. Koninklijke Akademie van Wetenschappen. _Proceedings_, Amsterdam, 1917, Band 19, pp. 892-896.
TUNZELMAN, G. W. DE.
Relativity Theory. _Science Progress_, 1919, vol. 13.
WEYL, H.
Eine neue Erweiterung der Relativitätstheorie. _Annalen_ _der Physik_, 1919, vol. 59, pp. 100-123.
Raum, Zeit, Materie. Springer. 1918.
Zur Gravitätionstheorie. _Annalen der Physik_, 1917, vol. 54, pp. 117-145.
WILSON, EDWIN BIDWELL.
Generalized coördinates, relativity, and gravitation. _Astrophysical_ _Journal_, Chicago, 1917, vol. 45, pp. 244-253.
WILSON, WILLIAM.
Relativity and gravitation. Physical Society of London. _Proceedings_, London, 1919, vol. 31, pp. 69-77.
WILSON and LEWIS.
The Time-Space Manifold. _Proceedings of the American_ _Academy of Arts and Sciences_, Nov., 1912, vol. 48, pp. 389-506.
THANKS
Most of the mathematical references cited above have been borrowed bodily from the book list prepared by Miss Mary E. Todd of the Science Room of the New York Public Library and published in the _Library Journal_. As soon as the Einstein craze struck New York these books were placed on a long table and it has been difficult to find a seat at this table, day or evening, ever since. At Cambridge University when Professor Eddington lectured on the Einstein theory the students waiting for the opening of the hall doors formed a cue extending half-way across Trinity Great Court. It is unusual in any university to have “standing room only” at a lecture on mathematical physics.
About half of the present volume appeared in _The Independent_ of November 29, December 7, 13, and 20, 1919, and I am indebted to Hamilton Holt, the editor, and to Karl V. S. Howland, the publisher of that magazine, for the privilege of reprinting them in book form. I am further grateful to several professors of physics, mathematics, astronomy and philosophy who have been kind enough to criticize and correct this material, but since it would not be fair to hold them responsible for my personal views and unconventional language I shall have to express my thanks to them in private.
INDEX
Bergson, Henri, 47, 51, 52
Carlyle, iv
Curvature of space, 26, 35, 38, 96
Eclipse observations, 2, 65, 72
Einstein, Albert Postulates of, 13, 83, 111 Theory of time, 109 Theory of gravitation, 39, 58, 76, 80, 86, 93, 96, 109 Life of, 78 Works of, 116, 117
Equivalence, principle of, 14, 83, 86
Ether, 8, 11, 88, 106
Flammarion, Camille, 40
Flatland, 35, 57
Fourth dimension, 24, 34, 49
Gravitation, 68, 74, 77, 80, 86, 90
Laws, natural, 102, 109
Light, deflection of ray, 11, 62, 79, 85
Light, pressure of, 67, 93
Lodge, Sir Oliver, 2, 68, 75, 87, 88
Lorentz, 22, 111, 112, 118
Macdonald, George, 34
Maxwell, Clerk, 67, 111, 112
Mercury, orbit of, 14, 66
Michelson and Morley experiment, 11, 21, 22, 85
Minkowski, iv, 18
Mirror, images, 18
Motion picture illustrations, 31, 44, 46, 50, 53
Newton, 15, 23, 39, 66, 76, 79, 87, 90, 95
Non-Euclidean geometry, 30, 48, 57, 112
Planck, 98, 121
Poincaré, H., 88, 107
Relativity of measurements, 15, 20, 26
Relativity of motion, 4, 8, 15, 23
Relativity of time, 15, 24, 47, 51
Slade, 58, 60
Spectrum, shifting of lines of, 14, 77, 85
Theories, reception of new, 98, 101
Theory of relativity, 2, 15
Thomson, Sir Joseph, 3, 93, 94, 95
Time as fourth dimension, 30, 32, 49
Time, reversal of, 41, 44
Wells, H. G., 32, 34, 40, 52
Zöllner, 58, 60
=TRANSCRIBER’S NOTES=
Simple typographical errors have been silently corrected; unbalanced quotation marks were remedied when the change was obvious, and otherwise left unbalanced.
Punctuation and spelling were made consistent when a predominant preference was found in the original book; otherwise they were not changed.
Inconsistent hyphens left as printed.