Book Review
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MathSciNet review:
1566598
Full text of review:
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Book Information:
Authors:
Samuel Eilenberg and
Calvin C. Elgot
Title:
Recursiveness
Additional book information:
Academic Press, New York and London, 1970. vii+89 pp.
1962. J. L. Borges, Ficciones, Grove Press, New York, 1962. (translated from the Spanish).
Calvin C. Elgot and Abraham Robinson, Random-access stored-program machines, an approach to programming languages, J. Assoc. Comput. Mach. 11 (1964), 365–399. MR 174193, DOI 10.1145/321239.321240
Rózsa Péter, Rekursive Funktionen, Akademischer Verlag, Budapest, 1951 (German). MR 0044467
Hartley Rogers Jr., Theory of recursive functions and effective computability, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0224462
Rózsa Péter, Über die Verallgemeinerung der Theorie der rekursiven Funktionen für abstrakte Mengen geeigneter Struktur als Definitionsbereiche, Acta Math. Acad. Sci. Hungar. 12 (1961), 271–314 (German, with Russian summary). MR 136545, DOI 10.1007/BF02023919
J. C. Shepherdson and H. E. Sturgis, Computability of recursive functions, J. Assoc. Comput. Mach. 10 (1963), 217–255. MR 151374, DOI 10.1145/321160.321170
Michael A. Arbib, Theories of abstract automata, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. MR 0321626
Günter Asser, Rekursive Wortfunktionen, Z. Math. Logik Grundlagen Math. 6 (1960), 258–278 (German). MR 130172, DOI 10.1002/malq.19600061506
Shih-hua Hu, Recursive algorithms. Theory of recursive algorithms I, Acta Math. Sinica 10 (1960), 66–88 (Chinese, with English summary). MR 112833
Vladeta Vučković, Rekursive Wortarithmetik, Acad. Serbe Sci. Publ. Inst. Math. 14 (1960), 9–60 (German). MR 125790
Frieder Schwenkel, Rekursive Wortfunktionen über unendlichen Alphabeten, Z. Math. Logik Grundlagen Math. 11 (1965), 133–147 (German). MR 173634, DOI 10.1002/malq.19650110209
J. F. P. Hudson, Piecewise linear topology, W. A. Benjamin, Inc., New York-Amsterdam, 1969. University of Chicago Lecture Notes prepared with the assistance of J. L. Shaneson and J. Lees. MR 0248844
- 1962.
- J. L. Borges, Ficciones, Grove Press, New York, 1962. (translated from the Spanish).
- 1964.
- C. C. Elgot and A. Robinson, Random-access stored-program machines, an approach to programming languages, J. Assoc. Comput. Mach. 11 (1964), 365-399. MR 30 #4400. MR 0174193
- 1967.
- R. Péter, Rekursive Funktionen, Akad. Kiadó, Budapest, 1951; English transl., Academic Press, New York; Akad. Kiadó, Budapest, 1967. MR 13, 421; MR 36 #2496. MR 44467
- 1967.
- H. Rogers, Jr., Theory of recursive functions and effective computability, McGraw-Hill, New York, 1967. MR 37 #61. MR 224462
- 1961, 1962. R. Péter, Über die Verallgeimeinerung der Theorie der rekursiven Funktionen für abstrakte Mengen geigneter Struktur als Definitionsbereiche, Acta Math. Acad. Sci. Hungar. 12 (1961), 271-314; ibid. 13 (1962), 1-24. MR 25 #15; MR 26 #3601. For a summary in English see "On the generalization of the theory of recursive functions for abstract sets of appropriate structure as domains of definition", [Péter, 1967] Appendix. MR 136545
- 1963.
- J. C. Shepherdson and H. E. Sturgis, Computability of recursive functions, J. Assoc. Comput Mach. 10 (1963), 217-255. MR 27 #1359. MR 151374
- 1969.
- M. A. Arbib, Theories of abstract automata, Prentice-Hall, Englewood Cliffs, N. J., 1969. MR 321626
- 1960.
- G. Asser, Rekursive Wortfunktionen, Z. Math. Logik Grundlagen Math. 6 (1960), 258-278. MR 24 #A39. MR 130172
- 1960.
- S.-H. Hu, Recursive algorithms. Theory of recursive algorithms. I, Acta Math. Sinica 10 (1960), 66-88 = Chinese Math. 1 (1962), 64-96. MR22 #3684a. MR 112833
- 1960.
- Vladeta Vučkovič, Rekursive Wortarithmetik, Acad. Serbe Sci. Publ. Inst. Math. 14 (1960), 9-60. MR 23 #A3087. MR 125790
- 1965.
- F. Schwenkel, Rekursive Wortfunktionen über unendlichen Alphabeten, Z. Math. Logik Grundlagen Math. 11 (1965), 133-147. MR 30 #3845. MR 173634
- 1965.
- F. Schwenkel, Piecewise Linear Topology, by J. F. P. Hudson, Benjamin, New York, 1969. MR 248844
1965. F. Schwenkel, Piecewise Linear Topology, by J. F. P. Hudson, Benjamin, New York, 1969.
Review Information:
Reviewer:
Michael A. Arbib
Journal:
Bull. Amer. Math. Soc.
77 (1971), 512-521
DOI:
https://doi.org/10.1090/S0002-9904-1971-12735-0
