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.
First faithful English translations from original Russian editions.
Arithmetic, algebra, and geometry in one coherent sequence.
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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 Planimetry
by A. P. Kiselev
Ages 12–16 · Grades 7–10
The first complete English translation of Kiselev's proof-based Euclidean geometry. 269 sections across 6 chapters: basic concepts, triangles, circles, similarity, regular polygons, and areas. PDF, paperback, and hardcover.
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.
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.
Kiselev's Stereometry
by A. P. Kiselev
Ages 14–17 · Grades 9–11
Kiselev's three-dimensional geometry text — the first complete English translation. Polyhedra, the five Platonic solids, cylinders, cones, the ball, and Cavalieri's principle.
Kiselev's Systematic Arithmetic
by A. P. Kiselev
Ages 9–13 · Grades 3–7
Kiselev's definitive systematic arithmetic — the expanded companion to his classic arithmetic textbook. 207 pages, 264 numbered articles across seven divisions: whole numbers; concrete (denominate) numbers and the metric system; divisibility, primes, and factorisation; common fractions; decimal fractions with limits and repeating decimals; ratio and proportion; and a full course of word problems on proportional quantities. Includes elementary treatments most textbooks leave out — Euclid's proof of the infinitude of primes and the concept of a limit used to prove that 0.999… equals 1.
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.
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.
Kiselev's Algebra Problems
by A. P. Kiselev
Ages 12–17 · Grades 6–10
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.
Beyond Kiselev
Classic Russian Mathematics
Problem collections, recreational mathematics, and foundational probability theory from Russia's greatest mathematical minds.
Gunter & Kuzmin
by N. M. Gunter & R. O. Kuzmin
University level
The standard Russian problem collection for higher mathematics — the book used across Soviet technical universities for analysis, differential equations, and series. 814 pages of problems in the first complete English translation.
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.
Barsukov's Algebra
by A. N. Barsukov
Ages 12–15 · Grades 6–8
The Soviet school's standard algebra textbook — ten editions, roughly ten million copies. The first complete, faithful English translation of Barsukov's course, prepared from the original Russian and typeset to modern standards with source-exact section numbering. Twelve chapters, 130 numbered sections: from algebraic expressions and rational numbers through factoring, algebraic fractions, coordinates and graphs, systems of equations, the square root worked digit-by-digit, quadratic equations, and functions and graphs. Includes a full chapter on the slide rule — a subject once central to technical education, almost never found in a modern Western algebra text.
Malinin & Burenin Problems
by A. Malinin & K. Burenin
Applied arithmetic · Flexible level
3,807 problems with a complete answer key — the problem collection that accompanies Malinin and Burenin's arithmetic textbook, and the exercises Imperial Russian students worked through alongside the theory. First complete English translation from the original Russian edition.
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.
Shaposhnikov & Valtsov, Part I
by N. A. Shaposhnikov & N. K. Valtsov
Ages 12–17 · Grades 6–10
2,228 classical algebra exercises with answers, in the first complete English translation. First published 1887–1890 and reissued in more than 50 editions, this is the problem collection that trained generations of Russian students alongside Kiselev. 9 chapters, sequenced from elementary operations through quadratic equations, with an answer key covering more than 1,300 entries.
Vereshchagin's Plane Trigonometry
by I. P. Vereshchagin
Ages 15–18 · Grades 9–12
A classical Russian problem book in plane trigonometry, in English for the first time. Questions and problems organised to carry a student from the definitions of the trigonometric functions through identities, equations, and the solution of triangles — the problem-solving companion to a classical trigonometry course.
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.
Malinin's Mental Calculation
by A. F. Malinin
Mental arithmetic practice · Flexible level
First faithful English translation from the original Russian edition. 1,963 problems arranged from short numerical exercises to demanding multi-step work with fractions, money, weights, measures, and proportions. Preserves Malinin's original numbering and five-part progression.
Shaposhnikov & Valtsov, Part II
by N. A. Shaposhnikov & N. K. Valtsov
Ages 14–17 · Grades 8–11
1,531 classical algebra problems with answers, in the first complete English translation. Part II continues the sequence begun in Part I, carrying the student through the advanced topics of the classical Russian algebra course — the problem collection that trained generations of students alongside Kiselev.
Vereshchagin's Arithmetic Problems
by I. P. Vereshchagin
Ages 10–16 · Grades 4–10
The largest arithmetic problem collection of imperial Russia — 3,238 problems with the complete answer key, in English for the first time. Approved by the Ministry of Public Education for the Empire's secondary schools and teachers' seminaries, and separately for the girls' gymnasia of the Empress Maria department, it ran to eighteen editions. Three Parts and fifty-seven sections cover whole numbers and compound named numbers; divisibility; common and decimal fractions; the metric system; ratio and proportion; and the commercial rules — the rule of three, percentage, interest, discount, partnership and alligation. Vereshchagin insisted his data be real, so the problems run on railway timetables, the heights of Elbrus and Everest, the assay of the new silver ruble, and Eratosthenes measuring the earth between Syene and Alexandria. Translated from the seventh edition of 1891, with source-exact problem numbering.
Berezanskaya's Arithmetic Problems
by E. S. Berezanskaya
Ages 9–13 · Grades 3–7
The iconic companion to Kiselev's Arithmetic — the problem collection Russian classrooms used side-by-side with Kiselev for over 70 years. 2,354 problems across eight chapters in the canonical order: numeration; the four operations on whole numbers; divisibility; common fractions; decimal fractions; ratio and proportion; percentages; and a concluding chapter of mixed problems drawing on everything before. Oral drills, written exercises, and word problems of real substance, sequenced from easy to demanding. The first complete, faithful English translation, with source-exact problem numbering.
Rachinsky Solutions
by Valery Manokhin
Mental arithmetic solutions · Flexible level
The essential companion to Rachinsky's 1001 Problems — every problem solved, every error corrected. Step-by-step arithmetic reasoning for all 1,001 problems in the 1899 collection, with 12 errata corrections to misprints in the original answer key (problems #188, #410, #454, #468, #519, #563, #705, #779, #796, #836, #889, #892 — independently verified). Includes a complete conversion table for pre-revolutionary Russian units (puds, funts, zolotniks, sazhens, arshins, vershoks, desyatinas, chetveriks). 257 pages, professionally typeset. Solutions organised by problem number to match the companion problem book exactly.
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."
Rashevsky's Trigonometry
by K. N. Rashevsky
Ages 15–18 · Grades 9–12
A faithful English edition of the classical Russian trigonometry textbook. A complete course in plane trigonometry — the trigonometric functions, radian measure and the unit circle, identities, equations, and the solution of triangles — built the way the Russian school tradition built it: define, prove, apply.
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.
Berman's Calculation Techniques
by G. N. Berman
Calculation practice · Flexible level
Three parts covering mental calculation, written calculation, and approximate calculation — the practical arithmetic skills the Russian school tradition treated as foundational. A short, dense book on how to compute well without a calculator.
Save with Bundles
Curriculum Bundles
Build a complete classical mathematics library. Every bundle saves you more than buying individually.
The Kiselev Six-Book Curriculum
Arithmetic + Algebra I + Algebra II + Planimetry + Stereometry + Calculus — the complete Kiselev arc from arithmetic through calculus, the Russian classical secondary-school sequence in full
Kiselev's Complete School Mathematics
Save 20%Arithmetic + Algebra I + Algebra II + Planimetry + Stereometry
Classical Mathematics Complete
Save 21%Arithmetic + Algebra I + Algebra II + Markov + Rachinsky — all 5 classical mathematics titles
The Kiselev Math Curriculum
Save 24%Arithmetic + Algebra I + Algebra II
Arithmetic Masters Collection
Save 17%Kiselev's Arithmetic + Malinin & Burenin's Arithmetic + Rachinsky's 1001 Problems
Arithmetic Problem-Solving Library
Save 9%Malinin & Burenin's Arithmetic + Rachinsky's 1001 Problems + Perelman's Entertaining Arithmetic
The Complete Kiselev Algebra
Save 19%Algebra Part I + Part II
Math Bundle
Save 25%Kiselev's Arithmetic + Markov's Calculus of Probabilities
The Kiselev Foundation
Save 18%Arithmetic + Algebra Part I
Russian Arithmetic Duo
Save 18%Kiselev's Arithmetic + Malinin & Burenin's Arithmetic
Rachinsky Complete Bundle
Save 37%Rachinsky's 1001 Problems + Rachinsky's 1001 Solutions — the complete problem-and-solution pair for classical Russian mental arithmetic
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.