D. Babbitt/V. Varadarajan: Formal reduction theory of meromorphic 
differential equations: 
A group theoretic view. Pacific J. Math. 109 (1983), 1-80.

5737 Thomas Becker/Volker Weispfenning: Gršbner bases. Springer 1993.
Contain on pages 528-530 a brief discussion of the connections between 
Gršbner bases and
differential algebra.

4812 Frits Beukers: Differential Galois theory. 4740 Waldschmidt, 413-439.

Frits Beukers/W. Brownawell/G. Heckman: Siegel normality.
Annals Math. 127 (1988), 279-308.

Frits Beukers/G. Heckman: Monodromy for the hypergeometric function
{'n}F{'n-1}. Inv. Math. 95 (1989), 325-354.

Frits Beukers/C. Peters: A family of K3 surfaces and z(3).
J. reine u. angew. Math. 351 (1984), 42-54.

FrŽdŽric Bien: D-modules and spherical representations.
Princeton UP 1991. $23.

Jan-Erik Bjšrk: Analytic D-models and applications. 
Kluwer 1993, 580p. $ 245. Nice price.

M. Bronstein: Symbolic integration. Towards practical algorithms. 
E. Tournier (ed.): Computer algebra and differential equations. 
Academic Press 1989.

G. Carrˆ Ferro: Gršbner bases and differential algebra. 
In L. Huguet/A. Poli (ed.):
Applied algebra, algebraic algorithms, and error-correcting codes. 
Springer LN Computer 
Science 356 (1987), 129-140.

G. Carrˆ Ferro: Some properties of lattice points and their application in 
differential algebra. t.a. 1992/93.

2281 J. Davenport/Y. Siret/E. Tournier: Computer algebra. Academic Press 1988.

G. Fano: †ber lineare homogene Differentialgleichungen.
Math. Annalen 53 (1900), 493-500.

M. Janet: Leons sur les systmes d'Žquations aux derivŽes 
partielles. Gauthier-Villars 1929.

N. Kamran: The equivalence problem of Elie Cartan, differential equations and 
computer
algebra. E. Tournier (ed.): Computer algebra and differential equations. 
Academic Press 1989.

I. Kaplansky: Differential algebras. Hermann 1957.
This small booklet contains a quick and very pleasant introduction to 
differential Galois theory.

N. Katz: On the calculation of some differential Galois group.
Inv. Math. 87 (1987), 13-61.

N. Katz: Exponential sums and differential equations.
Princeton UP 1990.

N. Katz/R. Pink: A note on pseudo-CM representations and differential Galois 
groups. 
Duke Math. J. 54 (1987), 57-65.

E. Kolchin: Algebraic matrix groups and the Picard-Vessiot theory of 
homogeneous linear 
ordinary differential equations. Annals of Math. 49 (1948), 1-42.

E. Kolchin: Existence theorems connected with the Picard-Vessiot theory of 
homogeneous linear 
ordinary differential equations. Bull. AMS 54 (1948), 927-932.

5785 E. Kolchin: Differential algebra and algebraic groups.
Academic Press 1973.

E. Kolchin: Differential algebraic groups. Academic Press 1985.

J. Kovacic: An algorithm for solving second order linear homogeneous 
differential equations. J. Symb. Comp. 2 (1986), 3-43.

1505 Ernst Kunz: KŠhler differentials. Vieweg 1986.

J. Levelt: Jordan decomposition for a class of singular differential 
operators. Arkiv Math. 13 (1975), 1-27.

J. Levelt: Differential Galois theory and tensor products.
Indag. Math. 1 (1990), 439-449.

Andy Magid: Lectures on differential Galois theory.
Oxford UP 1995, 105. 0-8218-7004-1. 

J. Martinet/J.-P. Ramis: ThŽorie de Galois diffŽrentielle. 
In E. Tournier (ed.): 
Computer algebra and differential equations. Academic Press 1989.

J.-F. Pommaret: Differential Galois theory. Gordon and Breach 1983.
Differential algebra applied to partial differential equations and a new 
approach to gauge 
field theory.

F. Riquier: Les systmes d'Žquations aux derivŽes partielles. 
Gauthier-Villars 1910.

J. Ritt: Differential equations from the algebraic standpoint.
AMS Coll. Publ. 14 (1932).

J. Ritt: Differential algebra. AMS 1950.

M. Singer: An outline of differential Galois theory. E. Tournier (ed.): Computer algebra and 
differential equations. Academic Press 1989.

Evelyne Tournier (ed.): Computer algebra and differential equations.
Academic Press 1989, 230p. 0-12-696260-x. £20. Contains the four review articles by Singer, 
Bronstein, Kamran and Ramis/Martinet specified in this bibliography.