Book Review
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MathSciNet review:
1566969
Full text of review:
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Book Information:
Authors:
Mircea Malita and
Corneliu Zidăroiu
Title:
Mathematics of organization
Additional book information:
Abacus Press, Tunbridge Wells, Kent, England, 1974, 383 pp., $30.00.
Richard Bellman, Dynamic programming, Princeton University Press, Princeton, N. J., 1957. MR 0090477
George B. Dantzig, Linear programming and extensions, Princeton University Press, Princeton, N.J., 1963. MR 0201189
E. B. Dynkin, General lateral conditions for some diffusion processes, Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66) Univ. California Press, Berkeley, Calif., 1967, pp. 17–49. MR 0217876
4. E. B. Dynkin and A. A: Juškevič, Markov control processes and their applications, Springer-Verlag (to appear).
Wendell H. Fleming and Raymond W. Rishel, Deterministic and stochastic optimal control, Applications of Mathematics, No. 1, Springer-Verlag, Berlin-New York, 1975. MR 0454768
6. R. A. Howard, Dynamic probabilistic systems, Wiley, New York, 1971.
7. L. Johansen, L. K. Kantorovich's contribution to economics, Scand. J. Economics 78 (1) (1976), 61-80.
L. V. Kantorovich, Mathematical methods of organizing and planning production, Management Sci. 6 (1959/60), 366–422. MR 129016, DOI 10.1287/mnsc.6.4.366
Richard M. Karp, Reducibility among combinatorial problems, Complexity of computer computations (Proc. Sympos., IBM Thomas J. Watson Res. Center, Yorktown Heights, N.Y., 1972) Plenum, New York, 1972, pp. 85–103. MR 0378476
10. T. C. Koopmans (Editor), Activity analysis of production and allocation, Cowles Commission Monograph, no. 13, Wiley, New York; Chapman & Hall, London, 1951.
11. Oskar Morgenstern, The collaboration between Oskar Morgenstern and John von Neumann on the theory of games, J. Economic Lit. 14 (3) (1976), 805-816.
Philip M. Morse and George E. Kimball, Methods of Operations Research, Technology Press of The Massachusetts Institute of Technology, Cambridge, Mass.; John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1951. MR 0044067
J. Neveu, Discrete-parameter martingales, Revised edition, North-Holland Mathematical Library, Vol. 10, North-Holland Publishing Co., Amsterdam-Oxford; American Elsevier Publishing Co., Inc., New York, 1975. Translated from the French by T. P. Speed. MR 0402915
L. S. Pontrjagin, V. G. Boltjanskiĭ, R. V. Gamkrelidze, and E. F. Miščenko, Matematicheskaya teoriya optimal′nykh protsessov, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). MR 0166036
Herbert Scarf, The computation of economic equilibria, Cowles Foundation Monograph, No. 24, Yale University Press, New Haven, Conn.-London, 1973. With the collaboration of Terje Hansen. MR 0391909
J. v. Neumann, Zur Theorie der Gesellschaftsspiele, Math. Ann. 100 (1928), no. 1, 295–320 (German). MR 1512486, DOI 10.1007/BF01448847
John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, N.J., 1944. MR 0011937
Abraham Wald, Statistical Decision Functions, John Wiley & Sons, Inc., New York, N. Y.; Chapman & Hall, Ltd., London, 1950. MR 0036976
19. J. Werin, Tjalling Koopmans' contributions to economics, Scand. J. Economics 78 (1) (1976), 81-102.
- 1.
- R. E. Bellman, Dynamic programming, Princeton Univ. Press, Princeton, NJ., 1957. MR 19, 820. MR 0090477
- 2.
- G. B. Dantzig, Linear programming and extensions, Princeton Univ. Press, Princeton, NJ., 1963. MR 34 # 1073. MR 201189
- 3.
- E. B. Dynkin and A. A: Juškevič, Markov processes: Theorems and problems, "Nauka", Moscow, 1967; English transl., Plenum Press, New York, 1969. MR 36 #6006; 39 #3585a. MR 217876
- 4.
- E. B. Dynkin and A. A: Juškevič, Markov control processes and their applications, Springer-Verlag (to appear).
- 5.
- W. H. Fleming and R. W. Rishel, Deterministic and stochastic optimal control, Applications of Mathematics, vol. 1, Springer-Verlag, Berlin and New York, 1975. MR 454768
- 6.
- R. A. Howard, Dynamic probabilistic systems, Wiley, New York, 1971.
- 7.
- L. Johansen, L. K. Kantorovich's contribution to economics, Scand. J. Economics 78 (1) (1976), 61-80.
- 8.
- L. V. Kantorovič, Mathematical methods of organizing and planning production, Leningrad, 1939; English transl, Management Sci. 6 (1959/60), 366-422. MR 23 #B2053. MR 129016
- 9.
- R. M. Karp, Reducibility among combinatorial problems, Complexity of Computer Computations (R. E. Miller and J. W. Thatcher, Editors), Plenum Press, New York, 1972. pp. 85-103, MR 51 # 14644. MR 378476
- 10.
- T. C. Koopmans (Editor), Activity analysis of production and allocation, Cowles Commission Monograph, no. 13, Wiley, New York; Chapman & Hall, London, 1951.
- 11.
- Oskar Morgenstern, The collaboration between Oskar Morgenstern and John von Neumann on the theory of games, J. Economic Lit. 14 (3) (1976), 805-816.
- 12.
- P. M. Morse and G. E. Kimball, Methods of operations research, M.I.T. Press, Wiley, New York; Chapman & Hall, London, 1951. MR 13, 364. MR 44067
- 13.
- J. Neveu, Discrete-parameter martingales, North-Holland, Amsterdam; American Elsvier, New York, 1975. MR 402915
- 14.
- L. S. Pontrjagin, B. G. Boltjanskiĭ, R. V. Gamkrelidze and E. F. Miščenko, The mathematical theory of optimal processes, Gosudarstv. Izdat. Fiz.-Mat, Lit., Moscow, 1961; English transl., Interscience, New York, 1962. MR 29 #3316a, b. MR 166036
- 15.
- H. Scarf, The computation of economic equilibria, Cowles Foundation Monograph, no. 24, Yale Univ. Press, New Haven, Conn., 1973. MR 52 # 12727. MR 391909
- 16.
- J. von Neumann, Zür Theorie der Gesellschaftsspiele, Math. Ann. 100 (1928), 295-320. MR 1512486
- 17.
- J. von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton Univ. Press, Princeton, N.J., 1944. MR 6, 235. MR 11937
- 18.
- A. Wald, Statistical decision functions, Wiley, New York; Chapman & Hall, London, 1950. MR 12, 193. MR 36976
- 19.
- J. Werin, Tjalling Koopmans' contributions to economics, Scand. J. Economics 78 (1) (1976), 81-102.
Review Information:
Reviewer:
Laurie Snell
Journal:
Bull. Amer. Math. Soc.
83 (1977), 676-681
DOI:
https://doi.org/10.1090/S0002-9904-1977-14342-5
