**signed**

## 1947 · [Washington, DC]:

by KAC, Mark: (1914-1984).

[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.
(Inventory #: S13280)