This School presented topics of current interest in high energy physics including Superstrings, Unified Theories and Cosmology.

This proceedings volume covers the main fields of mathematics: analysis, algebra and number theory, geometry and topology, combinatorics and graphs, applied mathematics, numerical analysis and computer mathematics, probability and statistics, teaching and popularization of mathematics.

This volume presents introductory lectures on the Standard Model and Higgs physics, as well as QCD. These lectures provided the particle physics background for the main topics of the school: astroparticle physics and modern cosmology.

A collection of lectures from eight authoritative speakers, High Energy Phenomenology is a concise introduction for postgraduates new to the field and provides a comprehensive overview of important research activities, results, and future directions for existing researchers. Coverage includes Ian Aitchison's introduction of standard model foundations, HERA physics, the physics and experimental challenges of future hadron colliders, and particle physics and cosmology. The book concludes with Alain Blondel's chapter on precision tests of the standard electroweak model at LEP.

Peter Gabriel Bergmann started his work on general relativity in 1936 when he moved from Prague to the Institute for Advanced Study in Princeton. Bergmann collaborated with Einstein in an attempt to provide a geometrical unified field theory of gravitation and electromagnetism. Within this program they wrote two articles together: A. Einstein and P. G. Bergmann, Ann. Math. 39, 685 (1938) ; and A. Einstein, V. Bargmann and P. G. Bergmann, Th. von Karman Anniversary Volume 212 (1941). The search for such a theory was intense in the ten years following the birth of general relativity. In recent years, some of the geometrical ideas proposed in these publications have proved essential in contemporary attempts towards the unification of all interactions including gravity, Kaluza-Klein type theories and supergravity theories. In 1942, Bergmann published the book "Introduction to the Theory of Relativity" which included a foreword by Albert Einstein. This book is a reference for the subject, either as a textbook for classroom use or for individual study. A second corrected and enlarged edition of the book was published in 1976. Einstein said in his foreword to the first edition: "Bergmann's book seems to me to satisfy a definite need. . . Much effort has gone into making this book logically and pedagogically satisfactory and Bergmann has spent many hours with me which were devoted to this end.

The interface between particle physics and cosmology, known as astroparticle physics, can play a key role in our understanding of the universe. This international school, cosponsored by the Houston Advanced Research Center (HARC) and the Superconducting Super Collider Laboratory (SSC), was proposed as an effort to coordinate the explosion in knowledge and attract reseachers to this fascinating discipline.

During July 1991. a group of 99 physicists from 57 laboratories in 27 countries met in Erice for the 29th Course of the International School of Subnuclear Physics. The countries represented were: Algeria. Argentina. Austria. Brazil. Canada. China. France. Germany. Greece. India. Ireland. Israel. Italy. New Zealand. Norway. Pakistan. Poland. Portugal. Rumania. Spain. Sweden. Switzerland. Thailand. Turkey. The Union of Soviet Socialist Republics. the United Kingdom. and the United States of America. The School was sponsored by the European Physical Society (EPS). the Italian Ministry of Education (MPI). the Italian Ministry of University and Scientific Research. the Sicilian Regional Government (ERS). and the Weizmann Institute of Science. The opening lecture of the School was given by Professor Lev Okun. A few remarks are in order. In the pre-Gorbachev era. Professor Okun's case was the most difficult: in spite of many invitations he was not allowed to come and lecture at Erice. Nowadays the hard times have nearly been forgotten. It is with pleasure that I recall here a discussion I had with my friend Lev Okun in my house during one of his rare visits to CERN. The after-dinner topic was Galileo Galilei and his great discovery; i. e . • the equality between gravitational and inertial masses - a discovery that we are celebrating now. four hundred years later. Here is a synthesis of Professor Okun's position: given a massive particle. the only quantity we should consider when talking about masses.