Kiselev's Algebra, Part I
by A. P. Kiselev
Translated by Valery Manokhin, PhD
6 chapters, 126 sections, 239 exercises. From relative numbers and polynomials through first-degree equations, powers, roots, and quadratics.
6 chapters· 126 numbered articles· 239 exercises· 152 pages
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 | 7–9 | Pre-Algebra → Algebra 1 |
|---|---|---|
| England | Years 8–10 | KS3 → GCSE Foundation and Higher |
| Canada (Ontario) | Ontario 8–10 | MTH1W · MPM2D · BC Math 8–9, FMP 10 · QC Secondary II–IV |
Not covered in this book
graphs and the function concept · coordinate geometry · 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 Arithmetic$44.95
Covers much of the same ground
The 1908 single volume covers every chapter here, several of them further, and adds ratio and proportion and hand cube-root extraction — but it carries no exercises at all.
Rashevsky's covers this half and the second in one 272-page volume, with graphs of first- and second-degree functions, but its six exercise sets are short and carry no answers — against 239 graded exercises with answers here.
- Davidov's Algebra$59.95
Davidov's covers this half and the second, in 509 pages with full solutions, but it has no functions and no graphs — and no graded exercise sets like the 239 here.
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
- Barsukov's Algebra$54.95
- Math Circle Problems$44.95
What comes next
- Kiselev's Algebra II$54.95
Further reading
- Fuss's Algebra$54.95
A historical text to read beside the course, not a substitute for it.
Table of contents
21 section headings — the printed contents page in full.
Translator's Preface
Preliminary Concepts2 sections
- Algebraic Notation
- Properties of the First Four Arithmetic Operations
Relative Numbers and Operations on Them7 sections
- The Concept of Quantities That Can Be Understood in Two Opposite Senses
- Addition of Relative Numbers
- Subtraction of Relative Numbers
- Principal Properties of Addition and Subtraction of Relative Numbers
- Multiplication of Relative Numbers
- Division of Relative Numbers
- Principal Properties of Multiplication and Division
Monomials, Polynomials, and Algebraic Fractions6 sections
- Preliminary Concepts
- Algebraic Addition and Subtraction
- Algebraic Multiplication
- Algebraic Division
- Factorisation
- Algebraic Fractions
Equations of the First Degree3 sections
- General Properties of Equations
- Equations with One Unknown
- Systems of Equations of the First Degree
Extraction of Square Roots3 sections
- Basic Properties of Roots
- Extraction of Square Root from Numbers
- Extraction of Approximate Square Roots
Quadratic Equations
Answers to the Exercises
Formats and editions
| Format | List price (USD) | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Digital edition | $44.95 | — | Gumroad · Read online | Buy → |
| Kindle | $49.95 | — | Amazon | Buy → |
| Paperback | $44.95 | 978-1-9194658-4-5 | Amazon | Buy → |
| Hardcover | $74.95 | 978-1-9194658-5-2 | 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
- Print length
- 152 pages
- First published
- 2026-05-04
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 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.
Kiselev's Algebra Problems
by A. P. Kiselev
US grades 7–11 · UK Years 8–12
The companion problem collection to Kiselev's Algebra. Hundreds of carefully sequenced problems and exercises that mirror the chapter structure of Algebra Part I and Part II — the same problem set Russian students worked through alongside Kiselev's algebra textbooks for over a century.