Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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

 

 

Oswald Veblen


Author: Deane Montgomery
Journal: Bull. Amer. Math. Soc. 69 (1963), 26-36
MathSciNet review: 0148526
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 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.
  • 3. Oswald Veblen, Polar Coordinate Proofs of Trigonometric Formulas, Amer. Math. Monthly 11 (1904), no. 1, 6–12. MR 1516040, 10.2307/2970131
  • 4. Oswald Veblen, The transcendence of π and e, Amer. Math. Monthly 11 (1904), 219-223.
  • 5. Oswald Veblen, A system of axioms for geometry, Trans. Amer. Math. Soc. 5 (1904), no. 3, 343–384. MR 1500678, 10.1090/S0002-9947-1904-1500678-X
  • 6. Oswald Veblen, Theory on plane curves in non-metrical analysis situs, Trans. Amer. Math. Soc. 6 (1905), no. 1, 83–98. MR 1500697, 10.1090/S0002-9947-1905-1500697-4
  • 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. MR 1500702, 10.1090/S0002-9947-1905-1500702-5
  • 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. MR 1500742, 10.1090/S0002-9947-1906-1500742-7
  • 11. Oswald Veblen and W. H. Bussey, Finite projective geometries, Trans. Amer. Math. Soc. 7 (1906), no. 2, 241–259. MR 1500747, 10.1090/S0002-9947-1906-1500747-6
  • 12. Oswald Veblen, Collineations in a finite projective geometry, Trans. Amer. Math. Soc. 8 (1907), no. 3, 366–368. MR 1500790, 10.1090/S0002-9947-1907-1500790-8
  • 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. MR 1003167
  • 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. MR 1500814, 10.1090/S0002-9947-1908-1500814-9
  • 17. Oswald Veblen, On the well-ordered subsets of the continuum, Rend. Circ. Mat. Palermo 25 (1908) 235-236, 397.
  • 18. Oswald Veblen and John Wesley Young, A Set of Assumptions for Projective Geometry, Amer. J. Math. 30 (1908), no. 4, 347–380. MR 1506049, 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.
  • 20. Oswald Veblen, Letter to the editor of the Jahresbericht, Jber. Deutsch. Math. Verein. 19 (1910), 263.
  • 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. MR 1506149, 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. MR 1502443, 10.2307/1967604
  • 25. Oswald Veblen, Decomposition of an 𝑛-space by a polyhedron, Trans. Amer. Math. Soc. 14 (1913), no. 1, 65–72. MR 1500936, 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.
  • 29. Oswald Veblen and Philip Franklin, On matrices whose elements are integers, Ann. of Math. (2) 23 (1921), no. 1, 1–15. MR 1502588, 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.
  • 36. Oswald Veblen, The intersection numbers, Trans. Amer. Math. Soc. 25 (1923), no. 4, 540–550. MR 1501259, 10.1090/S0002-9947-1923-1501259-6
  • 37. Oswald Veblen and Tracy Yerkes Thomas, The geometry of paths, Trans. Amer. Math. Soc. 25 (1923), no. 4, 551–608. MR 1501260, 10.1090/S0002-9947-1923-1501260-2
  • 38. Oswald Veblen and Tracy Yerkes Thomas, Extensions of relative tensors, Trans. Amer. Math. Soc. 26 (1924), no. 3, 373–377. MR 1501284, 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.
  • 42. 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, 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.
  • 70. Deane Montgomery and Oswald Veblen, Obituary: Nels Johann Lennes, Bull. Amer. Math. Soc. 60 (1954), 264–265. MR 0061064, 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

DOI: https://doi.org/10.1090/S0002-9904-1963-10838-1