Book Review

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MathSciNet review: 1568173

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Book Information:

Author: Wilfrid Hodges

Title: Model theory

Additional book information: {Encyclopedia of Mathematics and its Applications, vol.\ 42}, Cambridge University Press, Cambridge, 1993, xiii + 772 pp., US$99.95. ISBN 0-521-30442-3.

*Almost strongly minimal theories. I, II*, J. Symbolic Logic

**37**(1972), 487–493; ibid. 37 (1972), 657–660. MR

**321722**, DOI 10.2307/2272733

*Book Review: Classification theory and the number of non-isomorphic models*, Bull. Amer. Math. Soc. (N.S.)

**4**(1981), no. 2, 222–229. MR

**1567308**, DOI 10.1090/S0273-0979-1981-14891-6

*On strongly minimal sets*, J. Symbolic Logic

**36**(1971), 79–96. MR

**286642**, DOI 10.2307/2271517

**[4]**

*Model theory*, North-Holland, Amsterdam, 1973.

**[5]**

*Classification theory and the number of nonisomorphic models*(revised ed.) (reviewed by S. Shelah), J. Symbolic Logic

**58**(1993), 1071-1074.

*A new strongly minimal set*, Ann. Pure Appl. Logic

**62**(1993), no. 2, 147–166. Stability in model theory, III (Trento, 1991). MR

**1226304**, DOI 10.1016/0168-0072(93)90171-9

**[7]**

*Minimal subsets of differentially closed fields*(submitted).

*Zariski geometries*, Bull. Amer. Math. Soc. (N.S.)

**28**(1993), no. 2, 315–323. MR

**1183999**, DOI 10.1090/S0273-0979-1993-00380-X

*$p$-adic and real subanalytic sets*, Ann. of Math. (2)

**128**(1988), no. 1, 79–138. MR

**951508**, DOI 10.2307/1971463

*Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers*, Studies in Logic and the Foundations of Mathematics, Vol. 62, North-Holland Publishing Co., Amsterdam-London, 1971. MR

**0344115**

*On the categoricity in power of elementary deductive systems and some related problems*, Colloq. Math.

**3**(1954), 58–62. MR

**61561**, DOI 10.4064/cm-3-1-58-62

*On definable subsets of $p$-adic fields*, J. Symbolic Logic

**41**(1976), no. 3, 605–610. MR

**485335**, DOI 10.2307/2272038

*Groups and fields interpretable in separably closed fields*, Trans. Amer. Math. Soc.

**344**(1994), no. 1, 361–377. MR

**1231337**, DOI 10.1090/S0002-9947-1994-1231337-6

*Categoricity in power*, Trans. Amer. Math. Soc.

**114**(1965), 514–538. MR

**175782**, DOI 10.1090/S0002-9947-1965-0175782-0

*Classification of first order theories which have a structure theorem*, Bull. Amer. Math. Soc. (N.S.)

**12**(1985), no. 2, 227–232. MR

**776474**, DOI 10.1090/S0273-0979-1985-15354-6

**[16]**

*Classification theory and the number of nonisomorphic models*, second ed., North-Holland, Amsterdam, 1991.

**[17]**

*Sur les ensemble définissable de nombres réels i*, Fund. Math.

**17**(1931), 210-239.

**[18]**

*Model completeness results for expansions of the real field by restricted pfaffian functions and exponentiation*(to appear).

**[19]**

*Uncountably categorical theories*, Transl. Math. Monographs, vol. 117, Amer. Math. Soc., Providence, RI, 1991.

Review Information:

Reviewer: John T. Baldwin

Journal: Bull. Amer. Math. Soc.

**32**(1995), 280-285

DOI: https://doi.org/10.1090/S0273-0979-1995-00578-1