Northern Star Academic Press

Classic Russian mathematics textbooks, now in faithful English.

First faithful English translations from original Russian editions. A complete school mathematics curriculum — from elementary arithmetic through calculus — for families, schools, tutors, and serious independent study.

Russian Sources

First faithful English translations from original Russian editions.

Grades 3–11

Arithmetic, algebra, and geometry in one coherent sequence.

Gumroad

Secure checkout through Gumroad, with PPP discounts where available.

Why Russian Mathematics?

Russia and the Soviet Union built one of the most formidable mathematical traditions in history. These are the textbooks that built it — now available in English and Spanish for the first time.

Proof-Based Progression

Kiselev builds each topic from definitions, examples, and worked reasoning instead of detached rules.

A Coherent School Sequence

Arithmetic, algebra, and geometry connect naturally, so each subject prepares the ground for the next.

Understanding, Not Memorisation

Every rule is derived, not dictated. Every operation is proven, not memorised. Kiselev teaches you why something works — not just that it works.

First Complete Translations

First faithful English translations from the original Russian editions, with structure and explanations preserved.

The Core Curriculum

The Kiselev Series

The textbooks that defined Russian mathematics education for over a century. Arithmetic, algebra, geometry, and calculus.

Kiselev's Arithmetic cover
Available Now

Kiselev's Arithmetic

by A. P. Kiselev

Ages 9–12 · Grades 3–6

The foundational arithmetic textbook used in Russian schools for over a century. 7 parts, 214 sections. Whole numbers through proportional quantities, with mathematical proofs for every operation.

$44.95 Learn More →
Kiselev's Algebra I cover
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Kiselev's Algebra I

by A. P. Kiselev

Ages 12–15 · Grades 6–8

6 chapters, 126 sections, 239 exercises. From relative numbers and polynomials through first-degree equations, powers, roots, and quadratics.

$39.95 Learn More →
Kiselev's Algebra II cover
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Kiselev's Algebra II

by A. P. Kiselev

Ages 14–17 · Grades 8–10

12 chapters plus Supplements, 187 sections. Functions, quadratic systems, inequalities, logarithms, progressions, complex numbers, the binomial theorem, and continued fractions.

$39.95 Learn More →
Kiselev's Planimetry cover
Pre-Order

Kiselev's Planimetry

by A. P. Kiselev

Ages 12–16 · Grades 7–10

Kiselev's proof-based Euclidean geometry text, translated into English from the original Russian source. 269 sections across 6 chapters: basic concepts, triangles, circles, similarity, regular polygons, and areas.

$49.95 Learn More →
Kiselev's Stereometry cover
Pre-Order

Kiselev's Stereometry

by A. P. Kiselev

Ages 14–17 · Grades 9–11

Kiselev's three-dimensional geometry text. Polyhedra, the five Platonic solids, cylinders, cones, the ball, and Cavalieri's principle. Pre-order for the English translation, delivery planned for summer 2026.

$49.95 Learn More →
Kiselev's Calculus cover
Available Now

Kiselev's Calculus

by A. P. Kiselev

Ages 16+ · Grades 10–12 · University intro

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.

$54.95 Learn More →

Beyond Kiselev

Classic Russian Mathematics

Problem collections, recreational mathematics, and foundational probability theory from Russia's greatest mathematical minds.

Rachinsky's 1001 Problems cover
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Rachinsky's 1001 Problems

by S. A. Rachinsky

Mental arithmetic practice · Flexible level

1,001 carefully selected problems from the village schoolteacher whose students were depicted in Bogdanov-Belsky's famous 1895 painting "Mental Arithmetic."

$29.95 Learn More →
Perelman's Entertaining Arithmetic cover
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Perelman's Entertaining Arithmetic

by Ya. I. Perelman

Recreational arithmetic · All levels

The classic of Russian popular mathematics. Puzzles, riddles, and curiosities that make arithmetic genuinely entertaining.

$34.95 Learn More →
Markov: Probabilities cover
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Markov: Probabilities

by Andrei A. Markov

University level

The foundational 1900 work on probability theory by the mathematician who gave us Markov chains. A modern annotated English translation.

$34.95 Learn More →
Rybkin's Planimetry Problems cover
Pre-Order

Rybkin's Planimetry Problems

by N. A. Rybkin

Ages 12–16 · Grades 6–9

The companion problem collection to Kiselev's classical Russian geometry — now in English for the first time. Rybkin's Planimetry Problems is the set Russian students worked through alongside Kiselev's geometry textbook for over a century. Kiselev gives the definitions, theorems, and proofs; Rybkin gives the problems that turn those proofs into geometric intuition. 970 problems across 16 sections, organised chapter-by-chapter to mirror Kiselev's Planimetry — from preliminary concepts and lines through triangles, quadrilaterals, similar figures, the circle, regular polygons, and the measurement of areas. Worked solutions for the harder problems, hints for the rest.

$34.95 Learn More →
Malinin & Burenin cover
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Malinin & Burenin

by A. Malinin & K. Burenin

Applied arithmetic · Flexible level

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.

$39.95 Learn More →

About the Translator

Valery Manokhin, PhD

PhD in Machine Learning (Royal Holloway, University of London). MBA (Warwick). MSc (UCL). Certificate in Quantitative Finance (CQF). Author of 7 technical books and 9 translations across machine learning, forecasting, conformal prediction, and classical mathematics.

The Russian mathematical tradition produced unusually clear, rigorous textbooks. Every translation is faithful to the original Russian editions, preserving the structure and explanations that made these books durable.

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