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Publications Stanislaw M. of Ulam

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Publications Stanislaw M. of Ulam Uber topologische Abbildungen der euklidischen Spharen (with J. Schreier). * Fundamental Mathe- matical 23( 1934): 102–1 8. Transformation Theory Sur les transformations isometriques d’espaces vectoriels normes (with S. Mazur). * Comptes Rendus de L’Academie des Sciences 194(1932): Publications of 946-8. Sur les transformations continues des spheres cuclidiennes (with J. Schreier). * Comptes Rendus de L’Academie des Sciences 197( 1933): 967–8. Sur un coefficient lie aux transformations contin- Stanislaw M. Ulam ues d’ensembles (with C. Kuratowski). * Funda- mental Mathematical 20( 1933): 244–53. (with Karol Borsuk). * Mathematische Anna/en 108( 1933): 3 11–8. On approximate isometrics (with D. H. Hyers). * Bulletin of the American Mathematical Society 51( 1945): 288-92. Set Theory Sur une propriete de la mesure de M. Lebesgue (with J. Schreier).* Comptes Rendus de L’Acade- Approximate isometrics of the space of continuous Remark on the generalised Bernstein’s theorem.* mie des Sciences 192( 1931): 539-42. Fundamenta Mathematicae 13(1929): 281-3. functions (with D. H. Hyers).* Annals of Mathe- matics, Second Series 48( 1947): 285–9. Zum Massbegriff in Produktraumen. ” In Verhand- Concerning functions of sets. * Fundamental Math- lungen, Internationaler Mathernatikerkongress ematicae 14( 1929): 231–3. Random processes and transformations. In Pro- Zurich 1932, volume 2, 118–9. Zurich: Orell ceedings of the International Congress of Math- Fussli Verlag, 1932. Uber gewisse Zerlegungen von Mengen.* Funda- ematicians (Cambridge, Massachusetts, August mental Mathematical 20(1933): 221–3. 30-September 6, 1950), volume 2, 264–75. Prov- Sur la theorie de la mesure clans les espaces idence, Rhode Island: American Mathematical combinatoires et son application au calcul des Society, 1952. On the equivalence of any set of first category probabilities: I. Variables independantes (with to a set of measure zero (with J. C. Oxtoby).* Z. Lomnicki). * Fundamental Mathematical Fundamental Mathematical 31(1938): 201–6. Quadratic transformations. Part I (with M. T. 23( 1934): 237–78. Menzel and P. R. Stein). Los Alamos Scientific Laboratory report LA–2305, 1959. On visual hulls of sets (with G. H. Misters).* On the existence of a measure invariant under a Proceedings of the National Academy of Sciences transformation (with J. C. Oxtoby). * Annals of of the United States of America 57(1967): 1172-4. Some properties of certain non-linear transforma- Mathematics, Second Series 40(1939): 560-6. tions. * In Mathematical Models in Physical Sci- Note on the visual hull of a set (with W. A. ences.. Proceedings of the Conference at the Uni- Measure-preserving homeomorphisms and met- versity of Notre Dame, 1962, edited by Stefan Beyer).* Journal of Combinatorial Theory rical transitivity (with J. C. Oxtoby). * Annals of 4( 1968): 240–5. Drobot, 85–95. Englewood Cliffs, New Jersey: Mathematics, Second Series 42(1941): 874–920. Prentice- Hall, Inc., 1963. On equations with sets as unknowns (with Paul Erdos). * Proceedings of the National Academy What is measure?* American Mathematical Computer studies of some history-dependent of Sciences of the United States of America Monthly 50(1943): 597–602. random processes (with W. A. Beyer and R. G. 60(1968): 1189-95. Schrandt). Los Alamos Scientific Laboratory Topology report LA-4246, 1969. I Measure On symmetric products of topological spaces Non-linear transformation studies on electronic Zur Masstheorie in der allgemeinen Mengenlehre.* (with Karol Borsuk).* Bulletin of the American computers (with P. R. Stein). * Rozprawy Matem- Fundamenta Mathematicae 16(1930): 140-50. Mathematical Society 37(1931): 875–82. atyczne 39( 1963): 1-66. The Introduction and Part Also in Mengenlehre, edited by U. Feigner, 223– I are also in Essays on Cellular Automata, edited 33. Darmstadt: Wissenschaftliche Gesellschaft, Quelques proprietes topologiques du produit by Arthur W. Burks. Urbana, Illinois: University 1979. combinatoire (with C. Kuratowski).* Fundamental of Illinois Press, 1970. Mathematicae 19( 1932): 247–51. Lectures in non-linear algebraic transformations *This publication appears in Stanislaw Ulam: Eine Bemerkung uber die Gruppe der topolo- (with P. R. Stein). In Studies in Mathematical Sets, Numbers, and Universes, edited by W. A. gischen Abbildungen der Kreislinie auf sich Physics, edited by A. O. Barut, 263–3 14. Dor- Beyer, J, Mycielski, and G.-C. Rota. Cambridge, selbst (with J. Schreier).* Studia Mathametica drecht, The Netherlands: D. Reidel Publishing Massachusetts: The MIT Press, 1974. 5(1934): 155–9. Company, 1970. Los Alamos Science Special Issue 1987 313 Publications Group Theory ber Theory Conference, University of Colorado, On the Monte Carlo method. In Proceedings of Boulder, Colorado, August 5–24, 1963, edited by the 1949 Symposium on Large-Scale Digital Cal- Sur le groupe des permutations de la suite des S. Chowla and B. Jones, 114-5. culating Machines, 207–1 2. Cambridge, Mas- nombres naturels (with J. Schreier). * Comptes sachusetts: Harvard University Press, 1951. Rendus de L’Academie des Sciences 197(1933): Problems and games in mathematics (with 737-8. R. D. Mauldin). Advances in Applied Mathematics Monte Carlo calculations in problems of math- 8( 1987):28 1-344. ematical physics. In Modern Mathematics for Uber die Permutationsgruppe der naturlichen the Engineer, Second Series, edited by Edwin Zahlenfolge (with J. Schreier).* Studia Mathe- F. Beckenbach, 95–108. New York: McGraw-Hill matica 4(1933): 134--41. Branching Processes Book Company, Inc., 1961. Sur le nombre de generateurs d’un groupe semi- Theory of multiplicative processes (with D. Haw- simple (with H. Auerbach). * Comptes Rendus de kins). Los Alamos Scientific Laboratory report L’Academie des Sciences 201(1935): 117–9. LA–171, 1944. Mathematical Physics Heuristic studies in problems of mathematical Sur le nombre des generateurs d’un groupe topo- Multiplicative systems, I (with C. J. Everett). * physics on high speed computing machines (with logique compact et connexe (with J. Schreier). * Proceedings of the National Academy of Sciences J. Pasta). Los Alamos Scientific Laboratory report Fundamental Mathematical 24(1935): 302-4. of the United States of America 34( 1948): 403–5. LA–1557, 1953. Uber die Automorphismen der Permutationsgruppe Multiplicative systems in several variables. Parts der naturlichen Zahlenfolge (with J. Schreier). * I, II, and III (with C. J. Everett). Los Alamos Studies of nonlinear problems. Part I (with Fundamental Mathematical 28(1937): 258-60. Scientific Laboratory reports LA–683, LA–690, E. Fermi, M. Tsingou, and J. Pasta). * Los Alamos and LA–707, 1948. Scientific Laboratory report LA– 1940, 1955. Also On ordered groups (with C. J. Everett). * Trans- in Enrico Fermi: Collected Papers, volume 2, actions of the American Mathematical Society Computations on certain binary branching pro- edited by E. Amaldi, H. L. Anderson, E. Persico, 57(1945): 208–16. cesses. In Computers in Mathematical Research, E. Segre, and A. Wattenberg. Chicago: University edited by R. F. Churchhouse and J.-C. Herz, 168– of Chicago Press, 1965. On some possibilities of generalizing the Lorentz 171. Amsterdam: North-Holland Publishing Com- group in the special relativity theory (with pany, 1968. C. J. Everett). * Journal of Combinatorial Theory Infinite models in physics.* In Proceedings of 1( 1966): 248-70. the Seventh Symposium in Applied Mathematics Weapons Research (Brooklyn Polytechnic Institute, April 14-15, 1955). American Mathematical Society Symposia Miscellaneous Fourteen weapons-related reports written by Ulam in Applied Mathematics, volume 7, 87–95. New and his collaborators between 1944 and 1958 are York: McGraw-Hill Book Company, Inc., 1957. Mathematical Topics still classified. These are listed in “Publications of Stanislaw M. Ulam,” compiled by B. Hendry (Los Probleme 56. Fundamental Mathematical Alamos Scientific Laboratory report LAMS–3923, 20(1933): 285. On the possibility of extracting energy from gravi- 1968) and in Stanislaw Ulam: Sets, Numbers, and tational systems by navigating space vehicles. Los Universes, edited by W. A. Beyer, J. Mycielski, Sur une propriete caracteristique de l’ellipsoide Alamos Scientific Laboratory report LAMS–2219, and G.-C. Rota (The MIT Press, 1974). (with H. Auerbach and S. Mazur).* Monatsheften 1958. fur Mathematik and Physik 42(1935): 45-8. Algebra Heuristic numerical work in some problems of Probleme 74. Fundamental Mathematical 30(1938): 365. Projective algebra I (with C. J. Everett). * Ameri- hydrodynamics (with John R. Pasta). * In Math- can Journal of Mathematics 68(1946): 77–88. ematical Tables and Other Aids to Computation 13(1959): 1–12. Problemes P34; P35; P35,R1 (with S. Banach). Colloquium Mathematicum 1(1947): 152-3. Generators for algebras of relations (with A. R. Bednarek). Bulletin of the American Mathematical Society 82( 1976):78 1-2. Stability of many-body computations. In Hydro- Approximately convex functions (with D. H. Hy- dynamic Instability, edited by Garrett Birkhoff, ers). * Proceedings of the American Mathematical Richard Bellman, and C. C. Lin, 247-58. Amer- Society 3(1952): 821-8. Projective algebra and the calculus of relations (with A. R. Bednarek). Journal of Symbolic Logic ican Mathematical Society Symposia in Applied 43( 1978): 56-64. Mathematics, volume 13. Providence, Rhode Is- A property of randomness of an arithmetical func- land: American Mathematical Society, 1962. tion (with N. Metropolis). * American Mathemati- cal Monthly 60( 1953): 252–3.
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