Oswald Veblen. (English) Zbl 0107.00608
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historyReferences:
| [1] | Oswald Veblen, Hilbert’s foundations of geometry, Monist 13 (1903), 303-309. |
| [2] | Oswald Veblen, The Heine-Borel theorem, Bull. Amer. Math. Soc. 10 (1904), 436-439. · JFM 35.0389.01 |
| [3] | Oswald Veblen, Polar Coordinate Proofs of Trigonometric Formulas, Amer. Math. Monthly 11 (1904), no. 1, 6 – 12. · JFM 35.0583.03 · doi:10.2307/2970131 |
| [4] | Oswald Veblen, The transcendence of \pi and e, Amer. Math. Monthly 11 (1904), 219-223. · JFM 35.0442.01 |
| [5] | Oswald Veblen, A system of axioms for geometry, Trans. Amer. Math. Soc. 5 (1904), no. 3, 343 – 384. · JFM 35.0495.02 |
| [6] | Oswald Veblen, Theory on plane curves in non-metrical analysis situs, Trans. Amer. Math. Soc. 6 (1905), no. 1, 83 – 98. · JFM 36.0530.02 |
| [7] | Oswald Veblen, Definition in terms of order alone in the linear continuum and in well-ordered sets, Trans. Amer. Math. Soc. 6 (1905), no. 2, 165 – 171. · JFM 36.0523.05 |
| [8] | Oswald Veblen, Euclid’s parallel postulate, Open Court 19 (1905), 752-755. |
| [9] | Oswald Veblen, The foundations of geometry, Pop. Sci. Mo. (1906), 21-28. |
| [10] | Oswald Veblen, The square root and the relations of order, Trans. Amer. Math. Soc. 7 (1906), no. 2, 197 – 199. |
| [11] | Oswald Veblen and W. H. Bussey, Finite projective geometries, Trans. Amer. Math. Soc. 7 (1906), no. 2, 241 – 259. · JFM 37.0488.03 |
| [12] | Oswald Veblen, Collineations in a finite projective geometry, Trans. Amer. Math. Soc. 8 (1907), no. 3, 366 – 368. · JFM 38.0562.01 |
| [13] | Oswald Veblen, Nondesarguesian and nonpascalian geometries (with J. H. M. Wedderburn), Trans. Amer. Math. Soc. 8 (1907), 379-388. |
| [14] | Deane Montgomery, Oswald Veblen, A century of mathematics in America, Part I, Hist. Math., vol. 1, Amer. Math. Soc., Providence, RI, 1988, pp. 118 – 129. · Zbl 0669.01020 |
| [15] | Oswald Veblen, Introduction to infinitesimal analysis, functions on one real variable (with N. J. Lennes), Wiley, London and New York, 1907, vii+277 pp.; reprinted Stechert, New York, 1935. |
| [16] | Oswald Veblen, Continuous increasing functions of finite and transfinite ordinals, Trans. Amer. Math. Soc. 9 (1908), no. 3, 280 – 292. · JFM 39.0102.01 |
| [17] | Oswald Veblen, On the well-ordered subsets of the continuum, Rend. Circ. Mat. Palermo 25 (1908) 235-236, 397. · JFM 39.0102.02 |
| [18] | Oswald Veblen and John Wesley Young, A Set of Assumptions for Projective Geometry, Amer. J. Math. 30 (1908), no. 4, 347 – 380. · JFM 39.0606.01 · doi:10.2307/2369956 |
| [19] | Oswald Veblen, Projective geometry, 2 vols. (Vol. 1 with J. W. Young), Ginn, Boston, 1910-18, x+342+xii+511 pp. · Zbl 0018.32604 |
| [20] | Oswald Veblen, Letter to the editor of the Jahresbericht, Jber. Deutsch. Math. Verein. 19 (1910), 263. · JFM 41.0101.01 |
| [21] | Oswald Veblen, The foundations of geometry, with J. W. A. Young, Monographs on Topics of Modern Mathematics, New York, 1911, Chapter I, pp. 1-51. |
| [22] | Oswald Veblen, On the Definition of Multiplication of Irrational Numbers, Amer. J. Math. 34 (1912), no. 2, 211 – 214. · JFM 43.0222.07 · doi:10.2307/2369891 |
| [23] | Oswald Veblen, Jules Henri Poincaré, Proc. Amer. Philos. Soc. 51 (1912), iii-ix. |
| [24] | Oswald Veblen, An application of modular equations in analysis situs, Ann. of Math. (2) 14 (1912/13), no. 1-4, 86 – 94. · JFM 43.0574.01 · doi:10.2307/1967604 |
| [25] | Oswald Veblen, Decomposition of an \?-space by a polyhedron, Trans. Amer. Math. Soc. 14 (1913), no. 1, 65 – 72. · JFM 44.0626.01 |
| [26] | Oswald Veblen, Manifolds of n dimensions (with J. W. Alexander), Acta Math. Ser. 2 14 (1913), 163-178. · JFM 44.0558.02 |
| [27] | Oswald Veblen, On the deformation of an n-cell, Proc. Nat. Acad. Sci. U.S.A. 3 (1917), 654-656. |
| [28] | Oswald Veblen, Rotating bands (with P. L. Alger), J. U. S. Artillery 51 (1919), 355-390. |
| [29] | Oswald Veblen and Philip Franklin, On matrices whose elements are integers, Ann. of Math. (2) 23 (1921), no. 1, 1 – 15. · JFM 48.0097.01 · doi:10.2307/1967777 |
| [30] | Oswald Veblen, Analysis situs, Amer. Math. Soc. Colloq. Publ. Vol. 5, part 2, 1922, vii+150 pp.; 2nd ed., 1931, x+194 pp. · Zbl 0001.40604 |
| [31] | Oswald Veblen, The Riemann geometry and its generalization (with L. P. Eisenhart), Proc. Nat. Acad. Sci. U.S.A. 8 (1922), 19-23. |
| [32] | Oswald Veblen, Normal coordinates for the geometry of paths, Proc. Nat. Acad. Sci. U.S.A. 8 (1922), 192-197. |
| [33] | Oswald Veblen, Projective and affine geometry of paths, Proc. Nat. Acad. Sci. U.S.A. 8 (1922), 347-350. |
| [34] | Oswald Veblen, Equiaffine geometry of paths, Proc. Nat. Acad. Sci. U.S.A. 9 (1923), 3-4. · JFM 49.0546.04 |
| [35] | Oswald Veblen, Geometry and physics, Science 57 (1923), 129-139. Address of vice president AAAS. |
| [36] | Oswald Veblen, The intersection numbers, Trans. Amer. Math. Soc. 25 (1923), no. 4, 540 – 550. · JFM 50.0657.02 |
| [37] | Oswald Veblen and Tracy Yerkes Thomas, The geometry of paths, Trans. Amer. Math. Soc. 25 (1923), no. 4, 551 – 608. |
| [38] | Oswald Veblen and Tracy Yerkes Thomas, Extensions of relative tensors, Trans. Amer. Math. Soc. 26 (1924), no. 3, 373 – 377. · JFM 50.0502.04 |
| [39] | Oswald Veblen, Invariance of the Poincaré numbers of a discrete group, Bull. Amer. Math. Soc. 30 (1924), 405-406. · JFM 50.0698.01 |
| [40] | Oswald Veblen, Remarks on the foundations of geometry, Bull. Amer. Math. Soc. 31 (1925), 121-141, AMS retiring presidential address, December 31, 1924. |
| [41] | Oswald Veblen, Projective normal coordinates for the geometry of paths (with J. M. Thomas), Proc. Nat. Acad. Sci. U.S.A. 11 (1925), 204-207. · JFM 51.0569.04 |
| [42] | Oswald Veblen and Joseph Miller Thomas, Projective invariants of affine geometry of paths, Ann. of Math. (2) 27 (1926), no. 3, 279 – 296. · JFM 52.0732.01 · doi:10.2307/1967848 |
| [43] | Oswald Veblen, Invariants of quadratic differential forms (Cambridge Tracts in Math. and Math. Phys., no. 24), Cambridge, 1927, vii + 102 pp. Translation into Japanese, Tokyo, 1951, 144. · Zbl 0067.12401 |
| [44] | Oswald Veblen, Projective tensors and connections, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 154-166. · JFM 54.0803.02 |
| [45] | Oswald Veblen, Conformal tensors and connections, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 735-745. · JFM 54.0757.04 |
| [46] | Oswald Veblen, Differential invariants and geometry, International Congress of Mathematicians, Bologna, Vol. 1, 1929, pp. 181-189. |
| [47] | Oswald Veblen, Generalized projective geometry, J. London Math. Soc. 4 (1929), 140-160. · JFM 55.0413.02 |
| [48] | Oswald Veblen, Differential forms; Projection in mathematics; Projective geometry; Encyclopaedia Britannica, 14th ed., London and New York, 1929, Vol. 7, pp. 365-366; Vol. 18, pp. 572-576. |
| [49] | Oswald Veblen, Henry Burchard Fine–in memoriam, Bull. Amer. Math. Soc. 35 (1929), 726-730. · JFM 55.0020.11 |
| [50] | Oswald Veblen, A generalization of the quadratic differential form, Quart. J. Math. Oxford. Ser. (2) 1 (1930), 60-76. · JFM 56.0630.03 |
| [51] | Oswald Veblen, Projective relativity (with B. Hoffmann), Phys. Rev. 36 (1930), 810-822. · JFM 57.1577.02 |
| [52] | Oswald Veblen, The department of mathematics, Princeton Alumni Weekly 31 (1931), 633. · Zbl 0067.12401 |
| [53] | Oswald Veblen, The significance of Fine Hall, Princeton Alumni Weekly 32 (1931), 112-113. Incorporated in an article entitled, A memorial to a school-teacher. |
| [54] | Oswald Veblen, A set of axioms for differential geometry (with J. H. C. Whitehead), Proc. Nat. Acad. Sci. U.S.A. 17 (1931), 551-561. · Zbl 0003.13002 |
| [55] | Oswald Veblen, The foundations of differential geometry (with J. H. C. Whitehead), (Cambridge Tracts in Math. and Math. Phys., no. 29), Cambridge, 1932, ix+96 pp. Translation into Japanese by Kentaro Yano, Tokyo, 1950, 104. · Zbl 0005.21801 |
| [56] | Oswald Veblen, Projective Relativitätstheorie (Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 2, no. 1), Berlin, 1933, v+73 pp. · Zbl 0006.41902 |
| [57] | Oswald Veblen, Geometry of two-component spinors, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 462-474. · Zbl 0006.42001 |
| [58] | Oswald Veblen, Geometry of four-component spinors, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 503-517. · Zbl 0007.08002 |
| [59] | Oswald Veblen, Spinors in projective relativity, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 979-989. · Zbl 0008.18304 |
| [60] | Oswald Veblen, Projective differentiation of spinors (with A. H. Taub), Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 85-92. · JFM 60.0686.02 |
| [61] | Oswald Veblen, The Dirac equation in projective relativity (with A. H. Taub and J. von Neumann), Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 383-388. · Zbl 0009.38104 |
| [62] | Oswald Veblen, Certain aspects of modern geometry–A course of three lectures . . . I. The modern approach to elementary geometry; II. Analysis situs; III. Modern differential geometry, Rice Institute pamphlets 21 (1934), 207-255. |
| [63] | Oswald Veblen, Spinors, J. Washington Acad. Sci. 24 (1934), 281-290; Science 80 (1934) 415-419. · Zbl 0010.13301 |
| [64] | Oswald Veblen, Formalism for conformal geometry, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 168-173. · Zbl 0011.17504 |
| [65] | Oswald Veblen, A conformal wave equation, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 484-487. · Zbl 0012.18102 |
| [66] | Oswald Veblen, Geometry of complex domains (with J. W. Givens), mimeographed lectures, Princeton, N. J., 1936, iii+227 pp. · Zbl 0067.12401 |
| [67] | Oswald Veblen, Spinors and projective geometry, International Congress of Mathematicians, Oslo, Vol. 1, 1937, pp. 111-127. · Zbl 0018.32604 |
| [68] | Oswald Veblen, George David Birkhoff (1884-1944), American Philosophical Society Year Book, 1946, 1947, 279-285; also in Birkhoff, G. D., Collected mathematical papers, Vol. 1, New York, 1950, pp. xv-xxi. |
| [69] | Oswald Veblen, Opening Address, Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, Vol. I, 1952, pp. 124-125. |
| [70] | Deane Montgomery and Oswald Veblen, Obituary: Nels Johann Lennes, Bull. Amer. Math. Soc. 60 (1954), 264 – 265. |
| [71] | Oswald Veblen, Reviews of books by Bortolotti, Russell, Vahlen, Lechalas, Stolz and Gmeiner Huntington, and Birkhoff in Bull. Amer. Math. Soc., 1905-1924. |
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