Northern Star Academic Press
Russian math, from arithmetic to calculus.
First faithful English translations from the original Russian editions. Find the right starting book for your child or your own study.
Not sure which book?
These books are a sequence, not a shelf. Three ways to find your place in it.
Where to start
Two questions — the student’s age, and what they have already worked through — and you land on the right rung of an eight-stage ladder from arithmetic to calculus.
Curriculum: which book, which year
Every title placed against the US, UK and Canadian school years, with what each one leaves out — and, where two volumes overlap, the counted differences that decide between them.
Search every contents page
The full table of contents of every book, searchable at once. Find which volume treats logarithms, or continued fractions, and exactly which chapter.
What proof-based means
Every rule is proved before it is used. A student sees why the sum does not change when the order changes, why long division works, why the angles of a triangle add up to two right angles. Nothing is a trick to memorise. That is what makes these books rigorous, and it starts in arithmetic, not at university.
One curriculum, arithmetic to calculus
Kiselev wrote the whole school course: arithmetic, two algebra books, plane and solid geometry, and calculus. They use one notation and one method, so a student never switches publishers or relearns a topic in a new style. Problem books by Rybkin and others were written to go with them.
Who they are for
Homeschooling families, schools, tutors, and adults relearning mathematics properly. A parent reads the arithmetic with a child of nine or ten; from algebra on, a motivated student can work alone. If you are weighing Singapore Math, Art of Problem Solving or Math Mammoth, there is a plain comparison →
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
Russian Math Classics
The textbooks that defined Russian mathematics education for over a century. Arithmetic, algebra, geometry, trigonometry, and calculus.
Kiselev's Systematic Arithmetic
by A. P. Kiselev
US grades 5–8 · UK Years 6–9
Vereshchagin's Arithmetic Problems
by I. P. Vereshchagin
US grades 4–8 · UK Years 5–9
Berezanskaya's Arithmetic Problems
by E. S. Berezanskaya
US grades 4–7 · UK Years 5–8
Kiselev's Arithmetic
by A. P. Kiselev
US grades 4–7 · UK Years 5–8
Malinin & Burenin Problems
by A. Malinin & K. Burenin
US grades 5–8 · UK Years 6–9
Egorov's Arithmetic Problems
by F. I. Egorov
US grades 3–5 · UK Years 4–6
Kiselev's Elementary Algebra
by A. P. Kiselev
US grades 7–11 · UK Years 8–12
Bugaev's Algebra
by N. V. Bugaev
US grades 8–12 · UK Years 9–13
Malinin and Burenin's Algebra
by A. F. Malinin & K. P. Burenin
US grades 8–12 · UK Years 9–13
Rashevsky's Elementary Algebra
by K. N. Rashevsky
US grades 8–11 · UK Years 9–12
Barsukov's Algebra
by A. N. Barsukov
US grades 8–10 · UK Years 9–11
Davidov's Algebra
by A. Yu. Davidov
US grades 8–12 · UK Years 9–13
Kiselev's Elementary Geometry
by A. P. Kiselev
US grades 8–11 · UK Years 8–13
Rashevsky's Geometry
by K. N. Rashevsky
US grades 8–11 · UK Years 9–12
Kiselev's Planimetry
by A. P. Kiselev
US grades 8–10 · UK Years 8–11
Rybkin's Planimetry Problems
by N. A. Rybkin
US grades 8–11 · UK Years 9–12
Delone: Geometry Problems
by B. N. Delone, O. K. Zhitomirsky & A. I. Fetisov
US grades 10–12 + · UK Years 11–13
Kiselev's Stereometry
by A. P. Kiselev
US grades 9–11 · UK Years 10–13
Davidov's Trigonometry
by A. Yu. Davidov
US grades 10–12 + · UK Years 10–13
Derzhavin's Trigonometry
by S. S. Derzhavin
US grades 10–12 · UK Years 10–13
Vereshchagin's Plane Trigonometry
by I. P. Vereshchagin
US grades 10–12 · UK Years 11–13
Anoshchenko's Trigonometry
by P. M. Anoshchenko
US grades 10–12 · UK Years 10–13
Rybkin's Plane Trigonometry
by N. A. Rybkin
US grades 10–12 · UK Years 10–13
Rybkin's Trigonometry Problems
by N. A. Rybkin
US grades 10–12 · UK Years 10–13
Fuss's Pure Mathematics, Part III
by N. I. Fuss
US grades 11–12 and university · UK Years 12–13 and undergraduate
Markov: Probabilities
by Andrei A. Markov
US grades 12 and university · UK Year 13 and university
Fikhtengol'ts' Analysis, Vol. I
by G. M. Fikhtengol'ts
US grades University 1–2 · UK Undergraduate 1–2
Gunter & Kuzmin
by N. M. Gunter & R. O. Kuzmin
US grades University 1–4 · UK Undergraduate
Gunter & Kuzmin, Part I
by N. M. Gunter & R. O. Kuzmin
US grades University 1–2 · UK Undergraduate
Gunter & Kuzmin, Part II
by N. M. Gunter & R. O. Kuzmin
US grades University 2–4 · UK Undergraduate 2–3
Save with Bundles
Curriculum Bundles
Build a complete classical mathematics library. Every bundle saves you more than buying individually.
The Kiselev Six-Book Curriculum
Save 22%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 23%Arithmetic + Algebra I + Algebra II + Planimetry + Stereometry
Classical Mathematics Complete
Save 22%Arithmetic + Algebra I + Algebra II + Markov + Rachinsky — all 5 classical mathematics titles
Arithmetic Problem-Solving Library
Save 20%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 23%Kiselev's Arithmetic + Markov's Calculus of Probabilities
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.
Curriculum: which book, which year
Every title placed against the US, UK and Canadian school years, with what each one leaves out — and, where two volumes overlap, the counted differences that decide between them.