Kiselev's Calculus — First Complete English Translation
by A. P. Kiselev
Translated by Valery Manokhin, PhD
The first complete English translation of Kiselev's calculus — the final volume in his school course. Single-variable differential and integral calculus, proof-based, with classical applications to mechanics and physics. The bridge from Algebra II into the analysis tradition that produced Markov's probability theory.
4 chapters
Where this fits in school — US, UK and Canada ↓Adults and self-learners welcome — great mathematics has no age limit.
Where this fits in school
Not sure this is the right first book? Start here →Full curriculum table — every book by school year →| United States | 11–12 | AP Calculus AB foundation — not AB-complete, and not BC |
|---|---|---|
| England | Years 12–13 | A-level Pure: differentiation and integration |
| Canada (Ontario) | Ontario 12 | MCV4U derivatives; the integral half is beyond Ontario secondary · BC Calculus 12 |
Not covered in this book
series, parametric and polar calculus, and differential equations · vectors · statistics and data handling · probability
Source these strands elsewhere. They are missing from the book, not from this description.
How this book fits
See the whole sequence →Work through first
- Kiselev's Algebra II$54.95
- Rashevsky's Trigonometry$39.95
Problems to work alongside it
- Gunter & Kuzmin$99.95
- Gunter & Kuzmin, Part I$64.95
- Gunter & Kuzmin, Part II$54.95
What comes next
- Gunter & Kuzmin$99.95
- Gunter & Kuzmin, Part I$64.95
Further reading
A historical text to read beside the course, not a substitute for it.
Table of contents
The printed contents page in full.
Translator's Preface
Introduction
Foundations of the Theory of Limits
Some Applications of the Theory of Limits
Elements of Differential Calculus
Some Applications of Differential Calculus
Elements of Integral Calculus
Exercises
Formats and editions
| Format | List price (USD) | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Digital edition | $54.95 | — | Gumroad · Read online | Buy → |
| Kindle | $59.95 | — | Amazon | Buy → |
| Paperback | $54.95 | 978-1-9194658-8-3 | Amazon | Buy → |
| Hardcover | $84.95 | 978-1-9194658-9-0 | Amazon | Buy → |
List price: the US publisher list price in USD, shown for reference. Amazon sets its own price in each store — see the current price on Amazon. The Gumroad price is the price charged.
The digital edition is read online in the Gumroad reader. It is not a downloadable file.
Product details
- Publisher
- Northern Star Academic Press
- Language
- English
- Translator
- Valery Manokhin, PhD
- First published
- 2026-05-26
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Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
More in This Series
Kiselev's Arithmetic
by A. P. Kiselev
US grades 4–7 · UK Years 5–8
The foundational arithmetic textbook used in Russian schools for over a century, in complete English translation. 6 parts, 214 sections. Whole numbers through proportional quantities, with mathematical proofs for every operation. Paperback, hardcover and Kindle on Amazon; the digital edition is read online in Gumroad; there is no file to download.
Kiselev's Algebra I
by A. P. Kiselev
US grades 7–9 · UK Years 8–10
6 chapters, 126 sections, 239 exercises. From relative numbers and polynomials through first-degree equations, powers, roots, and quadratics.
Kiselev's Algebra II
by A. P. Kiselev
US grades 9–12 · UK Years 10–13
12 chapters plus Supplements, 187 sections. Functions, quadratic systems, inequalities, logarithms, progressions, complex numbers, the binomial theorem, and continued fractions.