George Collins discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.g. robot motion), also stimulating fundamental research in computer algebra over the past three decades. This volume is a state-of-the art collection of important papers on CAD and QE and on the related area of algorithmic aspects of real geometry. In addition to original contributions by S. Basu et al., L. Gonzalez-Vega et...

The book contains invited and contributed talks presented at the 18th European Conference on Few-Body Problems in Physics, held in Bled (Slovenia) in September 2002. The topics covered range from sub-nucleonic to molecular scales and demonstrate the latest theoretical, experimental, and computational advances, with an emphasis on interdisciplinarity of few-body techniques.

The first Asia-Pacific Conference on Few-Body Problems in Physics took place from August 23 to August 28, 1999, at the Noda campus of the Sci ence University of Tokyo in Noda-city and Sawayaka Chiba Kenmin Plaza in Kashiwa-city, a suburb of Tokyo close to the Narita-Tokyo International Air port, with the Frontier Research Center for Computation Sciences (FRCCS) of the Science University of Tokyo as the host institute. The High Energy Accel erator Research Organization (KEK), the Institute of Physical and Chemical Research (RIKEN), the Research Center for Nuclear Physics (RCNP)-Osaka...

This volume collects the invited and contributed papers presentedt at the work shop Nuclear Dynamics: from quarks to NUCLEI, which was hosted by Centro de Ffsica das Interacc;6es Fundamentais (CFIF) at Instituto Superior Tecnico (1ST) in Lisbon, Portugal, from October 31st to November 2nd, 2002. The response to this initiative exceeded the initial expectations of the organizers. Participants arrived to Lisbon, not only from countries within a close vicinity to Portugal, but also from Central and Northern Europe, from Africa, from the United States, from South and Central America, and from...

The sixteenth European Conference on Few Body Problems in Physics has taken place from June 1 to June 6, 1998, in Autrans, a little village in the mountains, close to Grenoble. The Conference follows those organized in Peniscola (1995), Amsterdam (1993), Elba (1991), Uzhgorod (1990) ... The present one has been organized by a group of physicists working in different fields at the University Joseph Fourier of Grenoble who find in this occasion a good opportunity to join their efforts. The core of the organizing committee was nevertheless located at the Institut des Sciences Nucleaires, whose...

The Workshop N* Physics and non-perturbative QeD was held at the Eu ropean Center for Theoretical Studies and Related Areas (ECT*) in Trento, Italy, during May 18-29, 1998. Previous workshops of the series on N* Physics took place at the Florida State University (1994), at CEBAF (1995), at the Institute for Nuclear Theory in Seattle (1996) and at the George Washington University (1997). The Workshop was devoted to a summary of recent experimental and the oretical research on N* phsyics and special emphasis was given to the infor mation that photo-and electro-production of nucleon resonances...

The Thirteenth European Conference on Few-Body Problems in Phys- ics (European Few-Body Problems XIII) was held at the Elba Internation- al Physics Centre (EIPC) in Marciana Marina, Isola d'Elba, Italy, during September 9-14, 1991. The previous Conferences of the series, promoted by the European Few-Body Physics Research Committee, took place in Budapest (1972), Graz (1973), Tiibingen (1975), Vlieland (1976), Uppsala (1977), Dubna (1979), Sesimbra (1980), Ferrara (1981), Tbilisi (1984), Bala- tonfiired (1985), Fontevraud (1987), and Uzhgorod (1990). The European Few-Body Conferences represent...

On the occasion of the 50th anniversary of the discovery of the Schrodinger equation a small symposium was organized in Vienna. It had mainly retrospective character, where after an appreciation of Schrodinger's scientific achievements the results were collected which one could extract from his equation. Of course not all the developments which originated in Schrodingers dis- coveries could be included. Instead, it was attempted to present a review of the established predictions which follow directly from his equation. Despite the 50 years of its existence there are always new results of this...

Soluble quantum field theory models are a rare commodity. An infinite number of degrees of freedom and noncompact invariance groups have a nasty habit of ex ploding in the model-makers' face. Nevertheless, impor tant progress has recently been made in the class of superrenormalizable relativistic theories, such as a self-interacting boson in a two-dimensional space time 1]. These results have been obtained starting with the free field and adding the interaction in a carefully controlled way. Yet, the models successfully studied in this way do DQ have an infinite field strength...