This volume is dedicated to the 30th anniversary of the founding of the Academic Gymnasium of St. Petersburg University. From the day it was founded until recent times, the school was officially called the 'Specialized Physico-Mathematical Boarding School No. 45 of Leningrad University' but was generally known as the '45th Boarding School'. Almost all of the authors of this volume graduated at different times from the 45th Boarding School and then studied at Leningrad University. The initial impetus for publishing this volume was a three-day conference held at St. Petersburg University in October 1993. The papers in the volume were mostly collected during the winter and spring of 1994. It also features ""Some Memories of Boarding School No. 45"" -A. A. Bolibruch.