This book gives a compact exposition of the fundamentals of the theory of locally convex
topological vector spaces. Furthermore it contains a survey of the most important results of a
more subtle nature which cannot be regarded as basic but knowledge which is useful for
understanding applications. Finally the book explores some of such applications connected with
differential calculus and measure theory in infinite-dimensional spaces. These applications are
a central aspect of the book which is why it is different from the wide range of existing
texts on topological vector spaces. Overall this book develops differential and integral
calculus on infinite-dimensional locally convex spaces by using methods and techniques of the
theory of locally convex spaces. The target readership includes mathematicians and physicists
whose research is related to infinite-dimensional analysis.
