If, however, we restrict ourselves to a comparatively narrow class of rational functions and utilize the illustrative language of graphs, we can present the concepts of derivative and integral in a few pages, sufficiently accurately and at the same time pithily.
We now come to Calculus of Rational Functions by G. E. Shilov in the Little Mathematics Library.
The pamphlet “Calculus of Rational Functons” discusses
graphs of functions and the differential and integral calculi
as applied to the simplest class of functions, viz. the rational
functions of one variable. It is intended for pupils of senior
forms and first year students of colleges and universities.
The book was translated from the Russian by V. I. Kisin and was first published by Mir in 1976 with a second reprint in 1982.
PDF | OCR | Cover | Bookmarked | 3.9 MB | 62 pp | 600 dpi
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4. Solutions to Problems