"Proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989"--Foreword.

Includes bibliographical references.

The conversion of a high order programming language from floating-point arithmetic to range arithmetic / Oliver Aberth -- Sylvester's form of the resultant and the matrix-triangularization subresultant PRS method / Alkiviadis G. Akritas -- Computing the Tsirelson space norm / Johnnie W. Baker, Oberta A. Slotterbeck and Richard Aron -- Floating-point systems for theorem proving / G. Bohlender, J. Wolff von Gudenberg and W.L. Miranker -- Computer algebra and indefinite integrals / Manuel Bronstein -- A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics / Alessandra Celletti and Luigi Chierchia -- On a computer algebra aided proof in bifurcation theory / Carmen Chicone and Marc Jacobs .

MACSYMA program to implement averaging using elliptic functions / Vincent T. Coppola and Richard H. Rand -- Validated anti-derivatives / George F. Corliss -- A toolbox for nonlinear dynamics / Shannon Coffey ... [et al.] -- Computer assisted proofs of stability of matter / R. de la Llave -- Accurate strategies for K.A.M. bounds and their implementation / R. de la Llave and D. Rana -- A software tool for analysis in function spaces / J.-P. Eckmann, A. Malaspinas and S. Oliffson Kamphorst -- Equation solving by symbolic computation / Anthony C. Hearn -- Deciding a class of Euclidean geometry theorems with Buchberger's algorithm / Bernhard Kutzler -- Lie transform tutorial : II / Kenneth R. Meyer -- Interval tools for computer aided proofs in analysis / Ramon E. Moore .

Tools for mathematical computation / L.B. Rall -- Shadowing trajectories of dynamical systems / Tim Sauer and James A. Yorke -- Transformation to versal normal form / Dieter S. Schmidt -- Computer assisted lower bounds for atomic energies / Luis A. Seco.