The purpose of this volume is to give some guidelines for the student concerning the solution of problems in the theory of Functions in Several Variables. The intension is not to write a textbook, but instead to give some hints of how to solve problems in this fi eld. It therefore cannot replace any given textbook, but it may be used as a supplement to such a book on Functions in Several Variables. The chapters have been kept as short as possible, each dealing with one particular type of standard problem, supplied with short descriptions of the possible methods of solutions which may be available, their advantages.