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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Oswald Veblen
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by Deane Montgomery PDF
Bull. Amer. Math. Soc. 69 (1963), 26-36
References
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  • Oswald Veblen and W. H. Bussey, Finite projective geometries, Trans. Amer. Math. Soc. 7 (1906), no. 2, 241–259. MR 1500747, DOI 10.1090/S0002-9947-1906-1500747-6
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    • 13. Oswald Veblen, Nondesarguesian and nonpascalian geometries (with J. H. M. Wedderburn), Trans. Amer. Math. Soc. 8 (1907), 379-388.
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    • 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.
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  • Oswald Veblen, On the Definition of Multiplication of Irrational Numbers, Amer. J. Math. 34 (1912), no. 2, 211–214. MR 1506149, DOI 10.2307/2369891
    • 23. Oswald Veblen, Jules Henri Poincaré, Proc. Amer. Philos. Soc. 51 (1912), iii-ix.
  • Oswald Veblen, An application of modular equations in analysis situs, Ann. of Math. (2) 14 (1912/13), no. 1-4, 86–94. MR 1502443, DOI 10.2307/1967604
  • Oswald Veblen, Decomposition of an $n$-space by a polyhedron, Trans. Amer. Math. Soc. 14 (1913), no. 1, 65–72. MR 1500936, DOI 10.1090/S0002-9947-1913-1500936-4
    • 26. Oswald Veblen, Manifolds of n dimensions (with J. W. Alexander), Acta Math. Ser. 2 14 (1913), 163-178. 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.
  • Oswald Veblen and Philip Franklin, On matrices whose elements are integers, Ann. of Math. (2) 23 (1921), no. 1, 1–15. MR 1502588, 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. 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. 35. Oswald Veblen, Geometry and physics, Science 57 (1923), 129-139. Address of vice president AAAS.
  • Oswald Veblen, The intersection numbers, Trans. Amer. Math. Soc. 25 (1923), no. 4, 540–550. MR 1501259, DOI 10.1090/S0002-9947-1923-1501259-6
  • Oswald Veblen and Tracy Yerkes Thomas, The geometry of paths, Trans. Amer. Math. Soc. 25 (1923), no. 4, 551–608. MR 1501260, DOI 10.1090/S0002-9947-1923-1501260-2
  • Oswald Veblen and Tracy Yerkes Thomas, Extensions of relative tensors, Trans. Amer. Math. Soc. 26 (1924), no. 3, 373–377. MR 1501284, DOI 10.1090/S0002-9947-1924-1501284-6
    • 39. Oswald Veblen, Invariance of the Poincaré numbers of a discrete group, Bull. Amer. Math. Soc. 30 (1924), 405-406. 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.
  • Oswald Veblen and Joseph Miller Thomas, Projective invariants of affine geometry of paths, Ann. of Math. (2) 27 (1926), no. 3, 279–296. MR 1502733, 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. 44. Oswald Veblen, Projective tensors and connections, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 154-166. 45. Oswald Veblen, Conformal tensors and connections, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 735-745. 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. 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. 50. Oswald Veblen, A generalization of the quadratic differential form, Quart. J. Math. Oxford. Ser. (2) 1 (1930), 60-76. 51. Oswald Veblen, Projective relativity (with B. Hoffmann), Phys. Rev. 36 (1930), 810-822. 52. Oswald Veblen, The department of mathematics, Princeton Alumni Weekly 31 (1931), 633. 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. 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. 56. Oswald Veblen, Projective Relativitätstheorie (Ergebnisse der Mathematik und ihrer Grenzgebiete, vol. 2, no. 1), Berlin, 1933, v+73 pp. 57. Oswald Veblen, Geometry of two-component spinors, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 462-474. 58. Oswald Veblen, Geometry of four-component spinors, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 503-517. 59. Oswald Veblen, Spinors in projective relativity, Proc. Nat. Acad. Sci. U.S.A. 19 (1933), 979-989. 60. Oswald Veblen, Projective differentiation of spinors (with A. H. Taub), Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 85-92. 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. 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. 64. Oswald Veblen, Formalism for conformal geometry, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 168-173. 65. Oswald Veblen, A conformal wave equation, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 484-487. 66. Oswald Veblen, Geometry of complex domains (with J. W. Givens), mimeographed lectures, Princeton, N. J., 1936, iii+227 pp. 67. Oswald Veblen, Spinors and projective geometry, International Congress of Mathematicians, Oslo, Vol. 1, 1937, pp. 111-127. 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.
  • Deane Montgomery and Oswald Veblen, Obituary: Nels Johann Lennes, Bull. Amer. Math. Soc. 60 (1954), 264–265. MR 61064, DOI 10.1090/S0002-9904-1954-09796-3
    • 71. Oswald Veblen, Reviews of books by Bortolotti, Russell, Vahlen, Lechalas, Stolz and Gmeiner Huntington, and Birkhoff in Bull. Amer. Math. Soc., 1905-1924.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 69 (1963), 26-36
  • DOI: https://doi.org/10.1090/S0002-9904-1963-10838-1
  • MathSciNet review: 0148526