This book is an enlarged and revised English edition of a Polish
version published in 1996 by the Publishing House of Maria Curie-
Sklodowska University in Lublin, Poland. It is the first volume of a
planned series of books of problems in mathematical analysis. The
second volume, already published in Polish, is under translation into
English. The series is mainly intended for students who take courses
in basic principles of analysis. The choice and arrangement of the
material make it suitable for self-study, and instructors may find it
useful as an aid in organizing tutorials and seminars.
This volume covers three topics: real numbers, sequences, and
series. It does not contain problems concerning metric and topological
spaces, which we intend to present in subsequent volumes.
The book is divided into two parts. The first part is a collection
of exercises and problems, and the second contains their solutions.
Complete solutions are given in most cases. Where no difficulties
could be expected or when an analogous problem has already been
solved, only a hint or simply an answer is given. Very often various
solutions of a given problem are possible; we present here only one,
hoping students themselves will find others.