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: Leons sur les systmes 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 systmes 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.