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.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. Each chapter (except Chap. IV and V) closes with a separate section of supplementary problems and questions aimed at reviewing and extending the material of the chapter.
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