Matematyka i fizyka

• Autorzy: Lax P. D.

Warianty tytułu

EN

Mathematics and physics

• Języki publikacji: PL

Słowa kluczowe

PL

matematyka; fizyka; związek matematyki z fizyką

• Wydawca: Polskie Towarzystwo Fizyczne
• Czasopismo: Postępy Fizyki
• Rocznik: 2008
• Tom: T. 59, z. 6
• Strony: 262--269
• Opis fizyczny: Bibliogr. 34 poz., rys.

Twórcy

autor

Lax P. D.

• Courant Institute, New York University, New York, USA

Bibliografia

• G.D. Birkhoff, ,”What is the ergodic theorem?”, Amer. Math. Monthly 49, 222 (1942).
• L. Boltzmann, Wissenschaftliche Abhandlungen (Chelsea Pub. Co., New York 1968).
• D. Christodoulou, S. Klainerman, The Global Nonlinear Stability of the Minkowski Space (Princeton University Press, Princeton, NJ 1993).
• L. de Branges, “A proof of the Bieberbach conjecture”, Acta Math. 154, 137 (1985).
• F. Dyson, “Statistical theory of the energy levels of complex systems I, II, III”, J. Math. Physics 3, 140 (1962).
• F. Dyson, “Missed opportunities”, Bull. Amer. Math. Soc. 78, 635 (1972).
• J.W. Gibbs, The Collected Works of J. Willard Gibbs (Longman’s, Green and Co., 1931).
• J. Glimm, “Solutions in the large for nonlinear hyperbolic systems of equations”, CPAM 18, 697 (1965).
• D. Gottlieb, C.-W. Shu, ,”On the Gibbs phenomenon and its resolution”, SIAM Review 39, 644 (1997).
• E. Hewitt, R.E. Hewitt, ,”The Gibbs-Wilbraham phenomenon: an episode in Fourier analysis”, Archive for History of Exact Sciences 21, 129 (1979).
• D. Hilbert, „Begründung der kinetischen Gastheorie“, Math. Ann. 72, 562 (1912).
• S. Hou, X.-D. Liu, ,”Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method”, J. Sci. Computing 31, 127 (2007).
• A. Koestler, The Sleepwalkers (Penguin Books, 1959).
• J. Leray, “Sur le mouvement d’un fluide visqueux emplissant l’espace”, Acta Math. 63, 193 (1934).
• X.D. Liu, P.D. Lax, “Solution of two-dimensional Riemann problems of gas dynamics by positive schemes”, SIAM J. Sci. Comp. 19, 319 (1998).
• C. Loewner, „Untersuchungen über schlichte konforme Abbildungen des Einheitskreises I“, Math. Ann. 89, 103 (1923).
• J.C. Maxwell, “A dynamical theory of the electromagnetic field”, Phil. Trans. Royal Soc. London 155, 459 (1865); The Scientific Papers of James Clerk Maxwell (Scottish Acad. Press, 1982), s. 526.
• B.M. McCoy, “Introductory Remarks to Szego’s Paper »On Certain Hermitean Forms Associated with the Fourier Series of a Positive Function«”, w: Gabor Szego Collected Papers, red. R. Askey, t. 1 (Birkhäuser, 1982), s. 47.
• O. Neugebauer, “Notes on Kepler”, CPAM 14, 593 (1961).
• A. Odlyzko, ,”On the distribution of the spacing between the zeros of the ζ function”, Math. Comp. 48, 273 (1989).
• L. Onsager, “Statistical hydrodynamics”, Nuovo Cimento Suppl. 6, 261 (1949).
• B. Riemann, ,“Über die Fortpflanzung ebener Luftwellen von endlicher Schwingingsweite“, Collected Papers (Springer Verlag, 1990), s. 188.
• E. Schrödinger, Collected Papers on Wave Mechanics (Blackie and Son Ltd., London 1928).
• C.W. Schultz-Rinne, J.P. Collins, H.M. Glaz, “Numerical solution of the Riemann problem for two-dimensional gas dynamics”, SIAM J. Sci. Comp. 14, 1394 (1993).
• J. Schwartz, ,”The pernicious influence of mathematics on science”, w: Logic, Methodology and Philosophy of Science, red. E. Nagel, P. Suppes, A. Tarski (Stanford University Press, 1962).
• G. Szegö, ”On certain Hermitean forms associated with Fourier series of a positive function”, Comm. Sem. Math. Univ. Lund, Tome Supplementaire, Festshrift Marcel Riesz, Lund 1952, s. 228; Gabor Szegö Collected Papers, red. E. Askey, t. 3 (Birkhäuser, 1982), s. 270.
• J. von Neumann, ,”Proof of the Quasi-ergodic Hypothesis”, NAS Proc. 186, 70 (1932); Collected Works, t. I (Pergamon Press, 1961).
• J. von Neumann, „Mathematische Begründung der Quanten-mechanik“, Goett. Nach. (1927), s. 1; Collected Works, t. I (Pergamon Press, 1961).
• J. von Neumann, A.W. Burke, H.H. Goldstine, “Preliminary Discussion of the Logical Design of an Electronic Computing Instrument”, Collected Works, t. V (Pergamon Press, 1963).
• W. Werner, “Random planar curves and Schramm-Loewner evolutions”, w: Lectures on Probability Theory and Statistics, Lecture Notes in Math., t. 1840 (Springer Verlag, 2004), s. 107.
• E. Wigner, “On the statistical distribution of the width and spacing of nuclear resonance levels”, Proc. Cambridge Phil. Soc. 47, 790 (1951).
• E. Wigner, “Random Matrices in Physics”, SIAM Review 9, 1 (1967).
• H. Wilbraham, “On certain periodic functions”, Cambridge Dublin Math. J. 3, 198 (1848).
• E. Witten, ,”Magic, Mystery and Matrix”, w: Mathematics: Frontiers and Perspectives, red. V. Arnold, M. Atiyah, P. Lax, B. Mazur (Amer. Math. Soc., Providence, RI 2000), s. 343.