Guerre 14/18

1947 · S13280 — Washington DC:: The American Mathematical Monthly 1947. 1947. 27 offprints. Original printed or self-printed wrappers. From the collection of Abraham Pais. Very good. INVENTORY: 1. KAC Mark; Hurwitz H. Statistical Analysis of Certain Types of Random Functions. Offprint from: The Annals of Mathematical Statistics Vol. XV No. 2 pp. 173-181 June 1944. Signed by Pais. 2. KAC Mark. On the Notion of Recurrence in Discrete Stochastic Processes. Offprint from: The Bulletin of the American Mathematical Society Vol. 53 No. 10 pp. 1002-1010 October 1947. Signed by Pais. 3. KAC Mark; Erdos P. On the Number of Positive Sums of Independent Random Variables. Offprint from: Bulletin of the American Mathematical Society Vol. 53 No. 10 pp. 1011-1020 October 1947. Original grey printed wrappers. Signed by Pais. 4. KAC Mark; Siegert J. F. An Explicit Representation of a Stationary Gaussian Process. Offprint from: The Annals of Mathematical Statistics Vol. XVIII No. 3 pp. 439-442 September 1947. Signed by Pais. 5. KAC Mark. Random Walk and the Theory of Brownian Motion. Errata sheet laid in. Offprint from: The American Mathematical Monthly Vol. LIV No. 7 August-September 1947. Original light blue printed wrappers. Signed by Pais. 6. KAC Mark; Siegert J. F. On the Theory of Noise in Radio Recievers with Square Law Detectors. Offprint from: Journal of Applied Physics Vol. 18 No. 4 pp. 383-397 April 1947. Signed by Pais. 7. KAC Mark. On the Characteristic Functions of the Distributions of Estimates of Various Deviations in Samples from a Normal Population. Offprint from: The Annals of Mathematical Statistics Vol. XIX No. 2 pp. 257-261 June 1948. Signed by Pais. 8. KAC Mark. Probability Methods in some Problems of Analysis and Number Theory. Offprint from: Bulletin of The American Mathematical Society Vol. 55 No. 7 pp. 641-665 July 1949. 9. KAC Mark. On the Distributions of Certain Wiener Functionals. Offprint from: Transactions of The American Mathematical Society Vol. 65 No. 1 pp. 1-13 January 1949. Original light blue printed wrappers. 10. KAC Mark. The Monte Carlo Method and its Applications. Offprint from: Proceedings Computation Seminar pp. 74-81 December 1949. Original grey printed wrappers. Signed by Pais. 11. KAC Mark; Donsker M. D. A Sampling Method for Determining the Lowest Eigenvalue and the Principal Eigenfunction of Schrodinger's Equation. Offprint from: the Journal of Research of the National Bureau of Standards; U.S. Department of Commerce National Bureau of Standards. Research Paper RP2102 Volume 44 pp. 551-557 May 1950. 12. KAC Mark; Berlin T. H. The Spherical Model of a Ferromagnet. Offprint from: The Physical Review Vol. 86 No. 6 pp. 821-835 June 15 1952. 13. KAC Mark; Murdock W. L.; Szego G. On the Eigen-valves of Certain Hermitian Forms. Offprint from: Journal of Rational Mechanics and Analysis Vol. 2 No. 4 pp.767-800 October 1953. 14. KAC Mark. Signal and Noise Problems. Offprint from: The American Mathematical Monthly Vol. LXI No. 7 August-September 1954. Original light blue printed wrappers. 15. KAC Mark. Foundations of Kinetic Theory. Offprint from: Proceedings of the Third Berkley Symposium on Mathematical Statistics and Probability pp. 171-197 December 1954 and June and July 1955. Grey printed wrappers. 16. KAC Mark. Distribution of Eigenvalues of Certain Integral Operators. From: The Michigan Mathematical Journal Vol. 3 pp. 141-148 1955-56. Original printed wrappers. 17. KAC Mark; Darling D. A.; On Occupation Times for Markoff Processes. Offprint from: Transactions of the American Mathematical Society Vol. 84 No. 2 pp. 444-458 March 1957. Original light blue printed wrappers. 18. KAC Mark. A Class of Limit Theorems. Offprint from: Transactions of the American Mathematical Society Vol. 84 No. 2 pp. 459-471 March 1957. Original light blue printed wrappers. 19. KAC Mark; Kesten Harry. On Rapidly Mixing Transformations and an Application to Continued Fractions. Offprint from: Bulletin of the American Mathematical Society Vol. 64 No. 5 pp. 283-287 September 1958. Original green printed wrappers. 20. KAC Mark. On the Partition Function of a One-Dimensional Gas. Offprint from: The Physics of Fluids Volume 2 Number 1 pp. 8-12 January-February 1959. 21. KAC Mark. Mathematics Its Trends and Its Tensions. Occasional Papers of The Rockefeller Institute. New York: Rockefeller Institute 1961. 8 pp. Signed by Pais. 22. KAC Mark. Probability; The real world confronts the mathematician with events that are not strictly predictable. The methods he has developed to deal with such events have opened new domains of pure mathematics. From: Scientific America. September 1964 Vol. 211 No. 3 pp. 91-106. Original printed wrappers. 23. KAC Mark. The Work of T. H. Berlin in Statistical Mechanics—A Personal Reminiscence. Offprint from: Physics Today pp. 39-42 October 1964. 24. KAC Mark. Can One Hear the Shape of a Drum Offprint from: American Mathematical Monthly Vol. 73 No. 4 Part II pp. 1-23 April 1966. Original light blue printed wrappers. "His main interest was probability theory. His question "Can one hear the shape of a drum" set off research into spectral theory with the idea of understanding the extent to which the spectrum allows one to read back the geometry. In the end the answer was "no" in general For the 1966 paper that made the question famous Kac was given the Lester R. Ford Award in 1967 and the Chauvenet Prize in 1968."- Wikip. 25. KAC M.; Luttinger J. M. A Formula for the Pressure in Statistical Mechanics. Offprint from: J. Math. Phys. Vol. 14 No. 5 pp. 583-85 1973. 26. KAC Mark. Marginalia. Dehydrated elephants revisited. Offprint from: American Scientist pp. 633-634 November-December 1982. Original black pictorial wrappers. INSCRIBED BY THE AUTHOR "To Bram pour s'amuse" :: to Abraham Pais. 27. KAC Mark. A Note on Eigenvalues and Eigenfunctions of the Laplace Operator. From: Department of Mathematics Cornell University and the National Bureau of Standards. 6 pp. The Preparation of this paper was sponsored in part by the Office of Naval Research. Occasional handwritten corrections. / Kac completed his Ph.D. in mathematics at the University of Lwów Poland in 1937 under the direction of Hugo Steinhaus. In the year 1951–1952 at Cornell University Kac was on sabbatical at the Institute for Advanced Study. In 1952 Kac with Theodore H. Berlin introduced the spherical model of a ferromagnet a variant of the Ising model and with J. C. Ward found an exact solution of the Ising model using a combinatorial method. The American Mathematical Monthly, 1947. unknown books