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
The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.