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From the reviews: "...Well thought out concept. Provides students at master's level, both a revision and a continuation of their undergraduate analysis lectures. New elements of advanced analysis are motivated by their applications to variational problems and elliptic PDE, thus illustrating their significance in the important area of current mathematics. The book will serve some readers seeking to deepen their mathematical knowledge, it is however designed to arouse curiosity for one of the most attractive fields of mathematics. ..." Heinrich Begehr, Mathematische Semesterberichte 1999 (translated by Catriona M. Byrne).