Book Review

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Book Information:

Author: David Eisenbud

Title: Commutative algebra with a view toward algebraic geometry

Additional book information: Graduate Texts in Math., vol. 150, Springer-Verlag, Berlin and New York, 1995, xvi+785 pp., ISBN 0-387-94268-8, $69.50$

*Introduction to commutative algebra*, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR

**0242802**

*Principles of algebraic geometry*, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR

**507725**

*On a theorem of Castelnuovo, and the equations defining space curves*, Invent. Math.

**72**(1983), no. 3, 491–506. MR

**704401**, DOI 10.1007/BF01398398

*On the periods of certain rational integrals. I, II*, Ann. of Math. (2) 90 (1969), 460-495; ibid. (2)

**90**(1969), 496–541. MR

**0260733**, DOI 10.2307/1970746

*Algebraic geometry*, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR

**0463157**

*Ring homomorphisms which are also lattice homomorphisms*, Amer. J. Math.

**61**(1939), 783–787. MR

**10**, DOI 10.2307/2371336

*On the geometry of a theorem of Riemann*, Ann. of Math. (2)

**98**(1973), 178–185. MR

**349687**, DOI 10.2307/1970910

*On the existence of special divisors*, Amer. J. Math.

**94**(1972), 431–436. MR

**323792**, DOI 10.2307/2374630

*Commutative ring theory*, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, Cambridge, 1986. Translated from the Japanese by M. Reid. MR

**879273**

*Local rings*, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR

**0155856**

*On Frobeniusean algebras. I*, Ann. of Math. (2)

**40**(1939), 611–633. MR

**16**, DOI 10.2307/1968946

*How much land does a man need*?, Short Stories, vol. 2, Modern Library, New York, 1965, pp. 183–199.

*Commutative algebra. Vol. 1*, Graduate Texts in Mathematics, No. 28, Springer-Verlag, New York-Heidelberg-Berlin, 1975. With the cooperation of I. S. Cohen; Corrected reprinting of the 1958 edition. MR

**0384768**

Review Information:

Reviewer: Mark Green

Affiliation: University of California at Los Angeles

Email: mlg@math.ucla.edu

Journal: Bull. Amer. Math. Soc.

**33**(1996), 367-370

DOI: https://doi.org/10.1090/S0273-0979-96-00662-3

Review copyright: © Copyright 1996 American Mathematical Society