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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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Bibliography of Norbert Wiener
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Bull. Amer. Math. Soc. 72 (1966), 135-145
References
    1. Norbert Wiener, On the rearrangement of the positive integers in a series of ordinal numbers greater than that of any given fundamental sequence of omegas, Messenger of Math, 3 (1913), No. 511. 2. Norbert Wiener, The highest good, J. Phil. Psych. and Sci. Method 9 (1914), 512-520. 3. Norbert Wiener, Relativism, J. Phil. Psych. and Sci. Method 9 (1914), 561-577. 4. Norbert Wiener, A simplification of the logic of relations, Proc. Cambridge Philos. Soc. 27 (1914), 387-390. 5. Norbert Wiener, A contribution to the theory of relative position, Proc. Cambridge Philos. Soc. 27 (1914), 441-449. 6. Norbert Wiener, Studies in synthetic logic, Proc. Cambridge Philos. Soc. 18 (1915), 24-28. 7. Norbert Wiener, The shortest line dividing an area in a given ratio, J. Phil. Psych. and Sci. Method (1915), 567-574.
  • Norbert Wiener, Certain formal invariances in Boolean algebras, Trans. Amer. Math. Soc. 18 (1917), no. 1, 65–72. MR 1501062, DOI 10.1090/S0002-9947-1917-1501062-4
  • Norbert Wiener, Bilinear operations generating all operations rational in a domain $\Omega$, Ann. of Math. (2) 21 (1920), no. 3, 157–165. MR 1503613, DOI 10.2307/2007254
  • Norbert Wiener, A set of postulates for fields, Trans. Amer. Math. Soc. 21 (1920), no. 2, 237–246. MR 1501142, DOI 10.1090/S0002-9947-1920-1501142-3
  • 11. Norbert Wiener, Certain iterative characteristics of bilinear operations, Bull. Amer. Math. Soc. 27 (1920), 6-10.
  • Norbert Wiener, The mean of a functional of arbitrary elements, Ann. of Math. (2) 22 (1920), no. 2, 66–72. MR 1502573, DOI 10.2307/1967855
  • 13. Norbert Wiener, On the theory of sets of points in terms of continuous transformations, G. R. Strasbourg Math. Congress, 1920. 14. Norbert Wiener, Certain iterative properties of bilinear operations, G. R. Strasbourg Math. Congress, 1920. 15. Norbert Wiener, A new theory of measurement: A study in the logic of mathematics, Proc. London Math. Soc. 19 (1921), 181-205.
  • Jing Yang and Jean W. Richard, The influence of Norbert Wiener on Hua-Loo-Keng, Historia Sci. (2) 16 (2006), no. 1, 96–103. MR 2271720
  • 17. Norbert Wiener, The average of an analytical functional, Proc. Nat. Acad. Sci. U.S.A. 7 (1921), 253-260. 18. Norbert Wiener, The average of an analytical functional and the Brownian movement, Proc. Nat. Acad. Sci. U.S.A. 7 (1921), 294-298.
  • David Jerison and Daniel W. Stroock, Norbert Wiener, The Legacy of Norbert Wiener: A Centennial Symposium (Cambridge, MA, 1994) Proc. Sympos. Pure Math., vol. 60, Amer. Math. Soc., Providence, RI, 1997, pp. 3–19. MR 1460269, DOI 10.1090/pspum/060/1460269
  • 20. Norbert Wiener, The relation of space and geometry to experience, Monist. 32 (1922), 12-60; 200-247; 364-394. 21. Norbert Wiener, The group of the linear continuum, Proc. London Math. Soc. 20 (1922), 329-346. 22. Norbert Wiener, A new type of integral expansion, J. Math, and Phys. 1 (1922), 167-176.
  • N. Wiener, Limit in terms of continuous transformation, Bull. Soc. Math. France 50 (1922), 119–134. MR 1504813, DOI 10.24033/bsmf.1022
  • 24. Norbert Wiener, Certain notions in potential theory, J. Math, and Phys. 3 (1924), 24-51. 25. Norbert Wiener, The equivalence of expansions in terms of orthogonal functions (with J. L. Walsh), J. Math, and Phys. 1 (1922), 103-122. 26. Norbert Wiener, On the nature of mathematical thinking, Austral. J. Psych, and Phil. 1 (1923), 268-272. 27. Norbert Wiener, Note on a paper of M. Banach, Fund. Math. 4 (1923), 136-143. 28. Norbert Wiener, Nets and the Dirichlet problem (with H. B. Phillips), J. Math, and Phys. 2 (1923), 105-124. 29. Norbert Wiener, Differential space, J. Math, and Phys. 2 (1923), 131-174.
  • Norbert Wiener, Note on a New Type of Summability, Amer. J. Math. 45 (1923), no. 2, 83–86. MR 1506492, DOI 10.2307/2370489
  • Norbert Wiener, Discontinuous boundary conditions and the Dirichlet problem, Trans. Amer. Math. Soc. 25 (1923), no. 3, 307–314. MR 1501246, DOI 10.1090/S0002-9947-1923-1501246-8
  • 32. Norbert Wiener, Note on the series ∑(+1∕n), Bull. Acad. Polon. Ser. A (1923), 87-90.
  • Fagi Levinson, Speech by Fagi Levinson. [Recollections about Norbert Wiener.], The Legacy of Norbert Wiener: A Centennial Symposium (Cambridge, MA, 1994) Proc. Sympos. Pure Math., vol. 60, Amer. Math. Soc., Providence, RI, 1997, pp. 33–35. MR 1460272, DOI 10.1090/pspum/060/1460272
  • 34. Norbert Wiener, The quadratic variation of a function and its Fourier coefficients, J. Math. and Phys. 3 (1924), 72-94.
  • Fagi Levinson, Speech by Fagi Levinson. [Recollections about Norbert Wiener.], The Legacy of Norbert Wiener: A Centennial Symposium (Cambridge, MA, 1994) Proc. Sympos. Pure Math., vol. 60, Amer. Math. Soc., Providence, RI, 1997, pp. 33–35. MR 1460272, DOI 10.1090/pspum/060/1460272
  • 36. Norbert Wiener, Une condition nécessaire et suffisante de possibilité pour le problème de Dirichlet, C. R. Acad. Sci. Paris 178 (1924), 1050-1053.
  • Paul A. Samuelson, Some memories of Norbert Wiener, The Legacy of Norbert Wiener: A Centennial Symposium (Cambridge, MA, 1994) Proc. Sympos. Pure Math., vol. 60, Amer. Math. Soc., Providence, RI, 1997, pp. 37–42. MR 1460273, DOI 10.1090/pspum/060/1460273
  • 38. Norbert Wiener, Un problème de probabilités dénombrables, Bull. Soc. Math. France 11 (1924), 3-4. 39. Norbert Wiener, Note on a paper of O. Perron, J. Math. and Phys. 4 (1925), 21-32. 40. Norbert Wiener, The solution of a difference equation by trigonometrical integrals, J. Math. and Phys. 4 (1925), 153-163.
  • Norbert Wiener, A contribution to the theory of interpolation, Ann. of Math. (2) 26 (1925), no. 3, 212–216. MR 1502691, DOI 10.2307/1967899
  • David Jerison and Daniel Stroock, Norbert Wiener, Notices Amer. Math. Soc. 42 (1995), no. 4, 430–438. MR 1319275
  • 43. Norbert Wiener, On the representation of functions by trigonometrical integrals, Math. Z. 24 (1925), 576-616. 44. Norbert Wiener, Verallgemeinerte Trigonometrische Entwicklungen, Gott. Nachrichten (1925), 151-158. 45. Norbert Wiener, A new formulation of the laws of quantization for periodic and aperiodic phenomena (with M. Born), J. Math, and Phys. 5 (1926), 84-98. 46. Norbert Wiener, Eine neue Formulierung der Quantengesetze fur Periodische und nicht Periodische Borganze, Z. Physik 36 (1926), 174-187. 47. Norbert Wiener, The harmonic analysis of irregular motion, J. Math. and Phys. 5 (1926), 99-121. 48. Norbert Wiener, The harmonic analysis of irregular motion (Second Paper), J. Math. and Phys. 5 (1926), 158-189.
  • Norbert Wiener, The operational calculus, Math. Ann. 95 (1926), no. 1, 557–584. MR 1512294, DOI 10.1007/BF01206627
  • Philip Franklin and Norbert Wiener, Analytic approximations to topological transformations, Trans. Amer. Math. Soc. 28 (1926), no. 4, 762–785. MR 1501373, DOI 10.1090/S0002-9947-1926-1501373-8
  • 51. Norbert Wiener, On the closure of certain assemblages of trigonometrical functions, Proc. Nat. Acad. Sci. 13 (1927), 27-29. 52. Norbert Wiener, Laplacians and continuous linear functionals, Acta Sci. Math. (Szeged) 3 (1927), 7-16. 53. Norbert Wiener, The spectrum of an array and its application to the study of the translation properties of a simple class of arithmetical functions, J. Math. and Phys. 6 (1927), 145-157. 54. Norbert Wiener, Quantum theory and gravitational relativity (with D. J. Struik), Nature 119 (1927), 853-854. 55. Norbert Wiener, A relativistic theory of quanta (with D. J. Struik), J. Math. and Phys. 7 (1927), 1-23. 56. Norbert Wiener, Sur la théorie relativiste des quanta (with D. J. Struik), C. R. Acad. Sci. Paris 185 (1927), 42-44.
  • Norbert Wiener, A new definition of almost periodic functions, Ann. of Math. (2) 28 (1926/27), no. 1-4, 365–367. MR 1502789, DOI 10.2307/1968381
  • 58. Norbert Wiener, On a theorem of Bochner and Hardy, J. London Math. Soc. 2 (1927), 118-123. 59. Norbert Wiener, Sur la théorie relativiste des quanta, C. R. Acad. Sci. Paris 185 (1927), 184-185.
  • Norbert Wiener, Sur la théorie de la prévision statistique et du filtrage des ondes, Analyse Harmonique, Colloques Internationaux du Centre National de la Recherche Scientifique, no. 15, Centre National de la Recherche Scientifique, Paris, 1949, pp. 67–74 (French). MR 0032983
  • 61. Norbert Wiener, Une méthode nouvelle pour la démonstration des théorèms de Tauber, C. R. Acad. Sci. Paris 184 (1927), 793-795. 62. Norbert Wiener, The fifth dimension in relativistic quantum theory (with D. J. Struik), Proc. Nat. Acad. Sci. 14 (1928), 262-268. 63. Norbert Wiener, The spectrum of an arbitrary function, Proc. London Math. Soc. 27 (1928), 287-496. 64. Norbert Wiener, Coherency matrices and quantum theory, J. Math. and Phys. 1 (1928), 109-125. 65. Norbert Wiener, A new method of Tauberian theorems, J. Math. and Phys. 7 (1928), 161-184. 66. Norbert Wiener, Harmonic analysis and the quantum theory, J. Franklin Inst. 207 (1929), 525-534. 67. Norbert Wiener, Hermitian polynomials and Fourier analysis, J. Math. and Phys. 8 (1929), 70-73. 68. Norbert Wiener, Harmonic analysis and group theory, J. Math. and Phys. 8 (1929), 148-154. 69. Norbert Wiener, On the spherically symmetrical statistical field in Einstein’s unified theory of electricity and gravitation, Proc. Nat. Acad. Sci. 15 (1929), 353-356. 70. Norbert Wiener, On the spherically symmetrical statistical field in Einstein’s unified theory: A correction (with M. S. Vallarta), Proc. Nat. Acad. Sci. 15 (1929), 802-804. 71. Norbert Wiener, A type of Tauberian theorem applying to Fourier series, Proc. London Math. Soc 30 (1929), 1-8. 72. Norbert Wiener, Fourier analysis and asymptotic series, Operational circuit analysis by V. Bush, Wiley, New York, 1929; Appendix, pp. 366-379.
  • Norbert Wiener, Generalized harmonic analysis, Acta Math. 55 (1930), no. 1, 117–258. MR 1555316, DOI 10.1007/BF02546511
  • Norbert Wiener, Tauberian theorems, Ann. of Math. (2) 33 (1932), no. 1, 1–100. MR 1503035, DOI 10.2307/1968102
  • Norbert Wiener, A note on Tauberian theorems, Ann. of Math. (2) 33 (1932), no. 4, 787. MR 1503094, DOI 10.2307/1968223
  • 76. Norbert Wiener, A new deduction of the Gaussian distribution, J. Math. and Phys. 10 (1931), 284-288. 77. Norbert Wiener, Characters of infinite Abelian groups (with R. E. A. C. Paley), Int’l. Math. Congr., Zürich, 1932. 78. Norbert Wiener, Über eine Klasse Singulärer Integralgleichungen (with E. Hopf), S.-B. Preuss. Akad. Wiss. (1932), 696. 79. Norbert Wiener, Review: Harald Bohr. Fastperiodische Funktionen, Math. Gaz. 17 (1933), No. 54. 80. Norbert Wiener, Review: A. S. Besicovitch. Almost periodic functions, Math. Gaz. 16 (1932), No. 220.
  • Norbert Wiener, The Fourier integral and certain of its applications, Dover Publications, Inc., New York, 1959. MR 0100201
  • 82. Norbert Wiener, Notes on the theory and application of Fourier transforms (with R. E. A. C. Paley) I, II, Trans. Amer. Math. Soc. 35 (1933), 348-355; III, IV, V, VI, VII, ibid. 35 (1933), 761-791.
  • Norbert Wiener, A one-sided Tauberian theorem, Math. Z. 36 (1933), no. 1, 787–789. MR 1545370, DOI 10.1007/BF01188648
  • 84. Norbert Wiener, R. E. A. C. Paley—In memoriam, Bull. Amer. Math. Soc. 39 (1933), 476. 85. Norbert Wiener, Characters of Abelian groups (with R. E. A. C. Paley), Proc. Nat. Acad. Sci. 19 (1933), 253-257. 86. Norbert Wiener, Review: E. C. Titchmarsh, The Fourier integral and certain of its applications, Math. Gaz. 17 (1933), 129; Science 132 (1933), 731.
  • R. E. A. C. Paley, N. Wiener, and A. Zygmund, Notes on random functions, Math. Z. 37 (1933), no. 1, 647–668. MR 1545426, DOI 10.1007/BF01474606
  • 88. Norbert Wiener, The total variation of g(xh)—f(x) (with R. C. Young), Trans. Amer. Math. Soc. 35 (1933), 327-340. 89. Norbert Wiener, Leibnitz and Haldane, Philos. Sci. 1 (1934), No. 4. 90. Norbert Wiener, Notes on the Kron theory of tensors in electrical machinery, Abstract, J. Electr. Eng. China 7, 3-4. 91. Norbert Wiener, A class of gap theorems, Ann. Scuola Norm. Sup. Pisa, E (1934-1936), 1-6. 92. Norbert Wiener, Fourier transforms in the complex domain (with R. E. A. C. Paley), Amer. Math. Soc. Colloq. Publ., Vol. 19, Amer. Math. Soc. Providence, R. I., 1934. 93. Norbert Wiener, Random functions, J. Math. and Phys. 14 (1934), No. 1. 94. Norbert Wiener, The closure of Bessel functions. Abstract 66, Bull. Amer. Math. Soc. 41 (1935), 35. 95. Norbert Wiener, Fabry’s gap theorem, Sci. Repts. of Nat’l. Tsing Hua Univ., Ser. A, 3 (1935), 239-245. 96. Norbert Wiener, A theorem of Carleman, Sci. Repts. of Nat’l. Tsing Hua Univ., Ser. A, 3 (1935), 291-298. 97. Norbert Wiener, Math. in American secondary schools, J. Math. Assoc. Japan for Secondary Education, Tokyo, 1935. 98. Norbert Wiener, The role of the observer, Philos. Sci. 3 (1936), 307-319. 99. Norbert Wiener, Sur les séries de Fourier lacunaires. Théorème direct (with Szolem Mandelbrojt), C. R. Acad. Sci. Paris 203 (1936), 34-36. 100. Norbert Wiener, Séries de Fourier lacunaires. Théorème inverses, with Szolem Mandelbrojt, C. R. Acad. Sci. Paris 203 (1936), 233-234. 101. Norbert Wiener, Gap theorems, C. R. de Congr. Int’l. des Math., 1936. 102. Norbert Wiener, A Tauberian gap theorem of Hardy and Littlewood, J. Chinese Math. Soc. 1 (1936), 15.
  • N. Wiener and W. T. Martin, Taylor’s series of entire functions of smooth growth, Duke Math. J. 3 (1937), no. 2, 213–223. MR 1545980, DOI 10.1215/S0012-7094-37-00314-4
  • 104. Norbert Wiener, Random Waring’s theorems. Abstract (with N. Levinson), Science 85 (1937), 439.
  • N. Wiener and H. R. Pitt, On absolutely convergent Fourier-Stieltjes transforms, Duke Math. J. 4 (1938), no. 2, 420–436. MR 1546064, DOI 10.1215/S0012-7094-38-00435-1
  • Norbert Wiener and Aurel Wintner, Fourier-Stieltjes Transforms and Singular Infinite Convolutions, Amer. J. Math. 60 (1938), no. 3, 513–522. MR 1507332, DOI 10.2307/2371591
  • 107. Norbert Wiener, Remarks on the classical inversion formula for the Laplace integral (with D. V. Widder), Bull. Amer. Math. Soc. 44 (1938), 573.
  • Norbert Wiener, The Homogeneous Chaos, Amer. J. Math. 60 (1938), no. 4, 897–936. MR 1507356, DOI 10.2307/2371268
  • 109. Norbert Wiener, The decline of cookbook engineering, Tech. Rev. 41 (1938), 23. 110. Norbert Wiener, Review: L. Hogben, Science for the citizen, Tech. Rev. 41 (1938), 66-67. 111. Norbert Wiener, The historical background of harmonic analysis, Amer. Math. Soc. Semicentennial Publications Vol. II, Semicentennial Addresses, Amer. Math. Soc., Providence, R. I., 1938. 112. Norbert Wiener, Review: Roger Burlingame, March of the iron men, Tech. Rev. 41 (1939), 115.
  • R. H. Cameron and Norbert Wiener, Convergence properties of analytic functions of Fourier-Stieltjes transforms, Trans. Amer. Math. Soc. 46 (1939), 97–109. MR 72, DOI 10.1090/S0002-9947-1939-0000072-0
  • 114. Norbert Wiener, Generalization of Ikehara’s theorem (with J. R. Pitt), J. Math. and Phys. 17 (1939), No. 4. 115. Norbert Wiener, On singular distribution (with Aurel Wintner), J. Math. and Phys. 17 (1939), No. 4. 116. Norbert Wiener, A new method in statistical mechanics (with B. McMillan), Abstract 133, Bull. Amer. Math. Soc. 45 (1939), 234; Science 90 (1939), November 3.
  • Norbert Wiener, The ergodic theorem, Duke Math. J. 5 (1939), no. 1, 1–18. MR 1546100, DOI 10.1215/S0012-7094-39-00501-6
  • 118. Norbert Wiener, The use of statistical theory in the study of turbulence, Nature 144 (1939), 728. 119. Norbert Wiener, A canonical series for symmetric functions in statistical mechanics. Abstract 133, Bull. Amer. Math. Soc. 46 (1940), 57. 120. Norbert Wiener, Review: M. Fukamiya, On dominated ergodic theorems in L (p≥1), Math. Rev. 1 (1940), 148. 121. Norbert Wiener, Review: M. Fukamiya, The Lipschitz condition of random functions, Math. Rev. 1 (1940), 149. 122. Norbert Wiener, Review: Th. De Donder, L’énergétique déduite de la mécanique statistique générale, Math. Rev. 1 (1940), 192.
  • Norbert Wiener and Aurel Wintner, Harmonic analysis and ergodic theory, Amer. J. Math. 63 (1941), 415–426. MR 4098, DOI 10.2307/2371534
  • Norbert Wiener and Aurel Wintner, On the ergodic dynamics of almost periodic systems, Amer. J. Math. 63 (1941), 794–824. MR 6618, DOI 10.2307/2371623
  • George Pólya and Norbert Wiener, On the oscillation of the derivatives of a periodic function, Trans. Amer. Math. Soc. 52 (1942), 249–256. MR 7169, DOI 10.1090/S0002-9947-1942-0007169-X
  • 126. Norbert Wiener, Ergodic dynamics of almost periodic systems (with Aurel Wintner), Math. Rev. 4 (1943), 15 (same as reference 124 above). 127. Norbert Wiener, Behavior, purpose, and teleology (with Arturo Rosenblueth and J. Bigelow), Philos. Sci. 10 (1943), 18-24.
  • Norbert Wiener and Aurel Wintner, The discrete chaos, Amer. J. Math. 65 (1943), 279–298. MR 7949, DOI 10.2307/2371816
  • 129. Norbert Wiener, The role of models in science (with Arturo Rosenblueth), Philos. Sci. 12 (1945), 316-322.
  • Norbert Wiener, The theory of statistical extrapolation, Bol. Soc. Mat. Mexicana 2 (1945), 37–42 (Spanish). MR 0015724
  • Norbert Wiener, The theory of statistical extrapolation, Bol. Soc. Mat. Mexicana 2 (1945), 37–42 (Spanish). MR 0015724
  • Norbert Wiener, The theory of statistical extrapolation, Bol. Soc. Mat. Mexicana 2 (1945), 37–42 (Spanish). MR 0015724
  • Albert E. Heins and Norbert Wiener, A generalization of the Wiener-Hopf integral equation, Proc. Nat. Acad. Sci. U.S.A. 32 (1946), 98–101. MR 16521, DOI 10.1073/pnas.32.4.98
  • Szolem Mandelbrojt and Norbert Wiener, Sur les fonctions indéfiniment dérivables sur une demi-droite, C. R. Acad. Sci. Paris 225 (1947), 978–980 (French). MR 22586
  • 135. Norbert Wiener, A scientist rebels, Atlantic Monthly 179 (1947), 46.
  • Norbert Wiener, Time, communication, and the nervous system, Ann. New York Acad. Sci. 50 (1948), 197–220. MR 26285, DOI 10.1111/j.1749-6632.1948.tb39853.x
  • 137. Norbert Wiener, Review: L. Infeld, Whom the Gods love: The story of Evariste Galois, Scripta Math. 14 (1948), 273-274.
  • Norbert Wiener, Cybernetics, or Control and Communication in the Animal and the Machine, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1053, Hermann & Cie, Paris; The Technology Press, Cambridge, Mass.; John Wiley & Sons, Inc., New York, 1948. MR 0025096
  • 139. Norbert Wiener, A rebellious scientist after two years, Bull. Atomic Scientists 4 (1948), 338.
  • Norbert Wiener, Time, communication, and the nervous system, Ann. New York Acad. Sci. 50 (1948), 197–220. MR 26285, DOI 10.1111/j.1749-6632.1948.tb39853.x
  • 141. Norbert Wiener, Cybernetics, Scientific American 179 (1948), 14-18. 142. Norbert Wiener, An account of the spike potential of axons (with Arturo Rosenblueth, W. Pitts, and J. Garcia Ramos), J. Comp. Physiol. (1948), December.
  • Norbert Wiener, Sur la théorie de la prévision statistique et du filtrage des ondes, Analyse Harmonique, Colloques Internationaux du Centre National de la Recherche Scientifique, no. 15, Centre National de la Recherche Scientifique, Paris, 1949, pp. 67–74 (French). MR 0032983
  • Norbert Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series. With Engineering Applications, Technology Press of The Massachusetts Institute of Technology, Cambridge, Mass.; John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1949. MR 0031213, DOI 10.7551/mitpress/2946.001.0001
  • 145. Norbert Wiener, New concept of communication engineering, Electronics 22 (1949), 74-77.
  • Norbert Wiener, Obituary: Godfrey Harold Hardy (1877–1947), Bull. Amer. Math. Soc. 55 (1949), 72–77. MR 28232, DOI 10.1090/S0002-9904-1949-09165-6
  • 147. Norbert Wiener, Sound communication with the deaf, Philos. Sci. 16 (1949), No. 3. 148. Norbert Wiener, Some problems in sensory prosthesis (with L. Levine), Science 110 (1949), November 11. 149. Norbert Wiener, The thinking machine, Time 55 (1950), January 23.
  • Norbert Wiener and Leonard Geller, Some prime-number consequences of the Ikehara theorem, Acta Sci. Math. (Szeged) 12 (1950), 25–28. MR 34801
  • 151. Norbert Wiener, The human use of human beings, Houghton Mifflin, Boston, 1950 (paperback edition (Anchor) by Doubleday, 1954). 152. Norbert Wiener, Cybernetics, Bull. Amer. Acad. Arts and Sci. 3 (1950), No. 7. 153. Norbert Wiener, Some maxims for biologists and psychologists, Dialectica 4 (September 1950), 3. 154. Norbert Wiener, Purposeful and non-purposeful behavior (with Arturo Rosenblueth), Philos. Sci. (1950), October. 155. Norbert Wiener, Speech, language, and learning, J. Acoust. Soc. Amer. 22 (1950), 696-697.
  • Norbert Wiener, Comprehensive view of prediction theory, Proceedings of the International Congress of Mathematicians, Cambridge, Mass., 1950, vol. 2, Amer. Math. Soc., Providence, R.I., 1952, pp. 308–321. MR 0044777
  • Norbert Wiener, Entropy and information, Proc. Symposia Appl. Math. 2 (1950), 89. MR 32544, DOI 10.1090/psapm/002/0032544
  • 158. Norbert Wiener, Problems of sensory prosthesis, Bull. Amer. Math. Soc. 57 (1951), 27-35.
  • Norbert Wiener, Nelineĭ nye zadachi v teorii sluchaĭ nykh protsessov, Izdat. Inostr. Lit., Moscow, 1961 (Russian). Translated from the English by È. M. Hazen; edited by Ju. L. Klimontovič. MR 0130700
  • 160. Norbert Wiener, The brain (ss), Tech. Eng. News (1952), April; reprinted in paperback anthology, Crossroads in Time, ed. Groff Conklin, Doubleday, New York, 1953.
  • N. Wiener, Les machines à calculer et la forme (Gestalt), Les machines à calculer et la pensée humaine, Colloques internationaux du Centre National de la Recherche Scientifique, no. 37, Centre National de la Recherche Scientifique, Paris, 1953, pp. 461–463 (French). MR 0066110
  • Norbert Wiener and Armand Siegel, A new form for the statistical postulate of quantum mechanics, Phys. Rev. (2) 91 (1953), 1551–1560. MR 57763, DOI 10.1103/PhysRev.91.1551
  • Norbert Wiener and Armand Siegel, Distributions quantiques dans l’espace différentiel pour les fonctions d’ondes dépendant du spin, C. R. Acad. Sci. Paris 237 (1953), 1640–1642 (French). MR 59197
  • 164. Norbert Wiener, Miracle of the broom closet (ss), Tech. Eng. News 33 (1952), No. 7; reprinted in the Magazine of Fantasy and Science Fiction, ed. Anthony Boucher, February, 1954.
  • Norbert Wiener, Ex-prodigy. My childhood and youth, Simon & Schuster, New York, 1953. MR 0057817
  • 166. Norbert Wiener, The concept of homeostasis in medicine, Transactions and Studies of the College of Physicians of Philadelphia (4) 20 (1953), No. 3. 167. Norbert Wiener, The differential space theory of quantum mechanics (with Armand Siegel), Phys. Rev. 91 (1953), 1551.
  • Norbert Wiener, Optics and theory of stochastic processes, J. Opt. Soc. Amer. 43 (1953), 225–228. MR 70767, DOI 10.1364/JOSA.43.000225
  • 169. Norbert Wiener, The future of automatic machinery, Mechanical Engineering (1953), 130-132, February.
  • Norbert Wiener, Nonlinear prediction and dynamics, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1954–1955, vol. III, University of California Press, Berkeley-Los Angeles, Calif., 1956, pp. 247–252. MR 0084928
  • N. Wiener and A. Siegel, The differential-space theory of quantum systems, Nuovo Cimento (10) 2 (1955), no. supplemento, 982–1003. MR 94161, DOI 10.1007/BF02744277
  • Norbert Wiener, On the factorization of matrices, Comment. Math. Helv. 29 (1955), 97–111. MR 68663, DOI 10.1007/BF02564273
  • 173. Norbert Wiener, Thermodynamics of the message, Neurochemistry, ed. K. E. C. Elliott, Thomas, Springfield, 1955. 174. Norbert Wiener, Time and organization, Second Fawley Foundation Lecture, University of Southampton, 1955.
  • N. Wiener and A. Siegel, The differential-space theory of quantum systems, Nuovo Cimento (10) 2 (1955), no. supplemento, 982–1003. MR 94161, DOI 10.1007/BF02744277
  • 176. Norbert Wiener, The theory of prediction, Modern mathematics for the engineer, ed. E. F. Beckenbach, McGraw-Hill, New York, 1956.
  • Norbert Wiener, I am a mathematician. The later life of a prodigy, Doubleday & Co., Garden City, N.Y., 1956. MR 0077455
  • 178. Norbert Wiener, Brain waves and the interferometer, J. Phys. Soc. Japan 18 (1956), No. 8. 179. Norbert Wiener, Moral reflections of a mathematician, Bull. Atomic Scientists 12 (1956), 53-57; reprinted from I am a mathematician. 180. Norbert Wiener, Rhythms in physiology with particular reference to encephalography. Proceedings of the Rudolf Virchow Medical Society in the City of New York, Vol. 16, 1957; pp. 109-124.
  • N. Wiener and E. J. Akutowicz, The definition and ergodic properties of the stochastic adjoint of a unitary transformation, Rend. Circ. Mat. Palermo (2) 6 (1957), 205–217; addendum, 349. MR 97863, DOI 10.1007/BF02843846
  • Norbert Wiener and Aurel Wintner, Notes on Pólya’s and Turán’s hypotheses concerning Liouville’s factor, Rend. Circ. Mat. Palermo (2) 6 (1957), 240–248. MR 99319, DOI 10.1007/BF02843849
  • 183. Norbert Wiener, The role of the mathematician in a materialistic culture (A scientist’s dilemma in a materialistic world), Columbia Engineering Quarterly, Proceedings of the Second Combined Plan Conference, Arden House, October 6-9, 1957; pp. 22-24.
  • Norbert Wiener and Aurel Wintner, On the Non-Vanishing of Euler Products, Amer. J. Math. 79 (1957), no. 4, 801–808. MR 1507477, DOI 10.2307/2372436
  • N. Wiener and P. Masani, The prediction theory of multivariate stochastic processes. I. The regularity condition, Acta Math. 98 (1957), 111–150. MR 97856, DOI 10.1007/BF02404472
  • N. Wiener and P. Masani, The prediction theory of multivariate stochastic processes. II. The linear predictor, Acta Math. 99 (1958), 93–137. MR 97859, DOI 10.1007/BF02392423
  • 187. Norbert Wiener, Logique, probabilité et méthode des sciences physiques, La Methodes dans les Sciences Modernes, Editions Science et Industrie, ed. François Le Lionnais, Paris, 1958; pp. 111-112.
  • Norbert Wiener, My connection with cybernetics, its origins and its future, Cybernetica 37 (1994), no. 3-4, 193–203. Reprinted from Cybernetica 1 (1958), no. 1, 1–14. MR 1328045
  • 189. Norbert Wiener, Random time, Nature 181 (1958), 561-562. 190. Norbert Wiener, Time and the science of organization, Scientia (1958), September.
  • Norbert Wiener, Nonlinear problems in random theory, Technology Press Research Monographs, Technology Press of The Massachusetts Institute of Technology, Cambridge, Mass.; John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0100912
  • Norbert Wiener and Pesi Masani, Sur la prévision linéaire des processus stochastiques vectoriels à densité spectrale bornée, C. R. Acad. Sci. Paris 246 (1958), 1492–1495 (French). MR 97857
  • Norbert Wiener and Pesi Masani, Sur la prévision linéaire des processus stochastiques vectoriels à densité spectrale bornée, C. R. Acad. Sci. Paris 246 (1958), 1492–1495 (French). MR 97857
  • N. Wiener and E. J. Akutowicz, A factorization of positive Hermitian matrices, J. Math. Mech. 8 (1959), 111–120. MR 0103388, DOI 10.1512/iumj.1959.8.58007
  • 195. Norbert Wiener, The tempter, Random House, New York, 1959. 196. Norbert Wiener, Non-linear prediction (in "Probability and statistics") (with P. Masani), The Harald Cramer Volume, ed. U. Grenander, Stockholm, 1959.
  • P. Masani and N. Wiener, On bivariate stationary processes and the factorization of matrix-valued functions, Teor. Veroyatnost. i Primenen 4 (1959), 322–331 (English, with Russian summary). MR 0114250
  • 198. Norbert Wiener, Preface to "Cybernetics of natural systems" by D. Stanley-Jones, Pergamon Press, London, 1960. 199. Norbert Wiener, "The grand privilege", Saturday Review (1960), March 5. 200. Norbert Wiener, Some moral and technical consequences of automation, Science 131 (1960). 201. Norbert Wiener, Kybernetik, Contribution to Das Soziologische Wörterbuch, F. Enke Verlag, Stuttgart, 1960.
  • N. Wiener, Über Informationstheorie, Naturwissenschaften 48 (1961), 174–176 (German). MR 127444, DOI 10.1007/BF00597467
  • 203. Norbert Wiener, Science and society, Voprosy Filosofii (1961), No. 7.
  • Norbert Wiener, Cybernetics, or control and communication in the animal and the machine, The M.I.T. Press, Cambridge, Mass.; John Wiley & Sons, Inc., New York-London, 1961. 2nd ed. MR 0127995
  • 205. Norbert Wiener, L’homme et la machine, Proc. Colloques Philosophiques Internationaux de Royaumont, July, 1962; Le concept d’information dans la science contemporaine, Gauthier-Villars, Paris, 1965, pp. 99-132. 206. Norbert Wiener, Contribution to Proc. of the International Symposium on the Application of Automatic Control in Prosthetics Design, August 27-31, 1962, Opatija, Yugoslavia; p. 132. 207. Norbert Wiener, The mathematics of self-organizing systems, Recent developments in information and decision processes, Macmillan, New York, 1962. 208. Norbert Wiener, Introduction to neurocybernetics and Epilogue (With J. P. Schade), Progress in brain research, Vol. 2 (Nerve, Brain and Memory Models), Elsevier Publishing Co., Amsterdam, 1963, pp. 1-7, 264-268.
  • Norbert Wiener and Giacomo Della Riccia, Random theory in classical phase space and quantum mechanics, Proc. Conf. on Theory and Appl. of Analysis in Function Space (Dedham, Mass., 1963) M.I.T. Press, Cambridge, Mass., 1964, pp. 3–14. MR 0186250
  • 210. Norbert Wiener, On the oscillations of nonlinear systems, Proc. Symposium on Stochastic Models in Medicine and Biology, Mathematics Research Center, U. S. Army, June 12-14, 1963. 211. Norbert Wiener, God and Golem, Inc.: A comment on certain points where cybernetics impinges on religion, The MIT Press, Cambridge, Mass., 1964.
  • Norbert Wiener, Cybernetics, or control and communication in the animal and the machine, The M.I.T. Press, Cambridge, Mass.; John Wiley & Sons, Inc., New York-London, 1961. 2nd ed. MR 0127995
  • 213. Norbert Wiener, Reprinting of [143] as Time series, Wiley paperbacks, 1964 (paperback edition by The MIT Press).
  • Norbert Wiener, Selected papers of Norbert Wiener, including Generalized harmonic anaylsis and Tauberian theorems, Society for Industrial and Applied Mathematics, Philadelphia, Pa.; The M.I.T. Press, Cambridge, Mass., 1964. With contributions by Y. W. Lee, N. Levinson and W. T. Martin. MR 0182520, DOI 10.2307/1989769
Additional Information
  • Journal: Bull. Amer. Math. Soc. 72 (1966), 135-145
  • DOI: https://doi.org/10.1090/S0002-9904-1966-11474-X
  • MathSciNet review: 0183604