edited by Felipe Cucker (City University of Hong Kong) & J Maurice Rojas (Texas A&M University, USA)

This invaluable book contains 19 papers selected from those submitted to a conference held in Hong Kong in July 2000 to celebrate the 70th birthday of Professor Steve Smale. It may be regarded as a continuation of the proceedings of SMALEFEST 1990 (”From Topology to Computation”) held in Berkeley, USA, 10 years before, but with the focus on the area in which Smale worked more intensively during the '90's, namely the foundations of computational mathematics.

• The Work of Steve Smale on the Theory of Computation: 1990–1999 (L Blum & F Cucker)
• Data Compression and Adaptive Histograms (O Catoni)
• Polynomial Systems and the Momentum Map (G Malajovich & J M Rojas)
• IBC-Problems Related to Steve Smale (E Novak & H Wo(niakowski)
• Nearly Optimal Polynomial Factorization and Rootfinding I: Splitting a Univariate Polynomial into Factors over an Annulus (V Y Pan)
• Complexity Issues in Dynamic Geometry (J Richter-Gebert & U H Kortenkamp)
• Grace-Like Polynomials (D Ruelle)
• From Dynamics to Computation and Back? (M Shub)
• and other papers