Books

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 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 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 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.

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.

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.

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."

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.

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.

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.

Aritmética (Español)

by A. P. Kiselev

The first faithful and complete Spanish translation of the classic Russian arithmetic textbook.