Malinin and Burenin's Arithmetic — A Complete English Translation
by A. Malinin & K. Burenin
Translated by Valery Manokhin, PhD
A complete English translation of Malinin and Burenin's Imperial Russian arithmetic textbook. 11 chapters, 301 sections. Covers numeration, operations on whole numbers, divisibility, fractions, ratios, proportions, percentage, interest, and Diophantine problems.
11 chapters· 301 numbered articles
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 | 5–8 | Grade 6–7 math (the continued-fractions chapter is Precalculus) |
|---|---|---|
| England | Years 6–9 | KS2 into KS3 |
| Canada (Ontario) | Ontario 5–8 | QC Elementary 5 – Secondary II |
Not covered in this book
negative numbers · coordinate geometry · statistics and data handling · probability · metric units — the problems use pre-revolutionary Russian measures, with a conversion table
Source these strands elsewhere. They are missing from the book, not from this description.
How this book fits
See the whole sequence →Covers much of the same ground
- Kiselev's Arithmetic$44.95
These overlap heavily. Each note says what that book has which this one does not — the differences are what decide between them.
Problems to work alongside it
- Rachinsky Solutions$39.95
What comes next
Further reading
A historical text to read beside the course, not a substitute for it.
Table of contents
8 section headings — the printed contents page in full.
Introduction
Numeration
Operations with Whole Numbers
Compound Concrete Numbers
On Divisors
Fractions
Decimal Fractions
Continued Fractions
Ratios
Proportions
Rules of Three
Appendix: Units of Measure8 sections
- Linear measure
- Square measure
- Cubic measure
- Weight (commercial)
- Dry (capacity) measure
- Liquid measure
- Money
- Editorial note on the text
Formats and editions
| Format | List price (USD) | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Digital edition | $44.95 | — | Gumroad · Read online | Buy → |
| Kindle | $69.95 | — | Amazon | Buy → |
| Paperback | $44.95 | 978-1-919012-19-3 | Amazon | Buy → |
| Hardcover | $69.95 | 978-1-919012-20-9 | 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
- 2026-07-18
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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