Problems In Calculus Of One Variable | I. A Maron

This textbook on mathematical analysis is based on many years’
experience of lecturing at a higher technical college. Its aim is to
train the students in active approach to mathematical exercises, as
is done at a seminar. Much attention is given to problems improving
the theoretical background. Therefore standard computational
exercises are supplemented by examples and problems explaining the 
theory, promoting its deeper understanding and stimulating precise 
mathematical thinking. Some counter examples explaining the need for 
certain conditions in the formulation of basic theorems are also 
included.

The book is designed along the following lines. Each section opens
with a concise theoretical introduction containing the principal
definitions, theorems and formulas. Then follows a detailed solution
of one or more typical problems. Finally, problems without solution
are given, which are similar to those solved but contain certain
peculiarities. Some of them are provided with hints.

These sections should prove of interest to the inquiring student,
and possibly also to lecturers in selecting material for classwork
or seminars.

This book was translated from the Russian by Leonid Levant. The book was published by first Mir Publishers in 1973.