The second volume of this introduction into analysis deals with the
integration theory of functions of one variable, the multidimensional
differential calculus and the theory of curves and line integrals. The
modern and clear development that started in Volume I is continued. In
this way a sustainable basis is created which allows the reader to deal
with interesting applications that sometimes go considerably beyond the
material that is represented in traditional textbooks. This applies, for
instance, to the exploration of Nemytskii operators which enable a
transparent introduction into the calculus of variations and the
derivation of the Euler-Lagrange equations. There are numerous examples
with varying degrees of difficulty and many informative figures.