The conference on “Perspectives in Analysis”, organised on the occasion of the 75th birthday of Lennart Carleson, was held in 2003 in Stockholm. Essays on relations between physical intuition and mathematical analysis written by leading specialists in the fields are collected in this book. The purpose of the variety of excellent contributions by the authors is to consider the future of analysis and related areas of physics. The book ends with a more philosophical and extensive essay by Lars Gårding consisting of five dialogues on “Encounters with science”. A DVD with videos of the talks by the authors is included.