Khinchin A.Ya. A course mathematical analysis

Tutorial. — Translated from, the third Russian edition. — Delhi: Hindustan Publishing Gorp., 1960. — 692 p. — (International monographs on advanced mathematics & physics).This course of mathematical analysis is a text-book for students of mechanico-mathematical and physico-mathematical faculties of our universities (and to some extent of pedagogical institutes as well); it is intended as the main text-book in the study of a science which appears in the curriculum under the heading of mathematical analysis and which deals with the theory of limits, infinite series and differential calculus with simple applications of these subjects. The necessity for such a text-book arose as most of the text-books on mathematical analysis published in this country have not fully satisfied the above requirements. Text-books which by their briefness and simplicity of treatment are within the reach of the average student are usually either obsolete or of lower scientific level than is required for the training of specialized-mathematicians ; other text-books which keep on the modern level are usually very bulky and their contents reach far beyond the scope of the current curriculum so that the average first and second years students are unable to benefit by them. It was therefore necessary to write a text-book whose contents would only include the strict requirements of the current curriculum and Which would, at the same time, fully conform to the modern scientific standard.