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.

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