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All six books of the Kiselev curriculum are published. Here are the newest titles, what is in translation now, and how to help decide what comes next.

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November 2026

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Bugaev's Algebra

by N. V. Bugaev

US grades 8–12 · UK Years 9–13

The algebra course by N. V. Bugaev, later president of the Moscow Mathematical Society, in first faithful English translation from the original Russian edition. Fifteen chapters and 160 numbered sections lead from worked examples to general rules: fundamental concepts and operations, the greatest common divisor and least common multiple, algebraic fractions, equations of the first degree, powers and roots with imaginary quantities, quadratic equations, inequalities, indeterminate equations, continued fractions, ratio and proportion, progressions, logarithms with compound interest, and ordered selections with Newton's binomial. Supplements add a short history of algebra, irrational equations and simultaneous equations of the second degree. More than 400 numbered review questions close the book.

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November 2026

Available Now

Kvasnikova's Stereometry Problems

by Z. Ya. Kvasnikova, A. I. Pospelov, E. N. Yermolayeva & N. M. Kalitkin

US grades 10–12 · UK Years 11–13

A graded problem book for the whole of solid geometry, in first faithful English translation from the original Russian edition: 838 problems in 33 sections, numbered in one run from first to last, with an answer section. It begins with the axioms of stereometry and the relative position of lines and planes, then works through parallel and orthogonal projection, dihedral and polyhedral angles, prisms, pyramids and truncated pyramids, the regular polyhedra, cylinders, cones and truncated cones, the sphere, solids of revolution, inscribed and circumscribed spheres, and a closing mixed section. Five sets of practical exercises call for measurement and models. 54 figures.

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October 2026

Available Now

Fikhtengol'ts' Analysis, Vol. II

by G. M. Fikhtengol'ts

US grades University 1–2 · UK Undergraduate 1–2

The second volume of the university course in mathematical analysis by the founder of the Leningrad school of the theory of functions, in a faithful new English edition. Ten chapters continue directly from Volume I: numerical series and infinite products; sequences and series of functions, power series and approximate computation; improper integrals and integrals depending on a parameter, with the Eulerian integrals; implicit functions and functional determinants; line, double, surface and triple integrals, the formulas of Green, Ostrogradsky and Stokes, and the elements of field theory; Fourier series and the Fourier integral. A concluding sketch points towards differential equations, the calculus of variations, complex and real analysis and functional analysis. 192 numbered articles (Nos. 234–425), 88 figures, 412 pages with an alphabetical index.

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October 2026

Available Now

Egorov's Arithmetic Problems

by F. I. Egorov

US grades 3–5 · UK Years 4–6

A graded problem book for the whole course of arithmetic in whole numbers, in first faithful English translation from the original Russian edition: 1,600 problems, with answers to 1,245 of them. It begins with numeration to a thousand, a million and beyond and with the meaning of the four operations, then works through written addition, subtraction, multiplication and division of multi-digit numbers, with its own sections on how a sum, difference, product and quotient change when their components change. Compound denominate numbers run alongside at every stage, followed by problems on time and on square and cubic measures, and a final set on all operations.

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October 2026

Available Now

Fikhtengol'ts' Analysis, Vol. I

by G. M. Fikhtengol'ts

US grades University 1–2 · UK Undergraduate 1–2

The university course in mathematical analysis by the founder of the Leningrad school of the theory of functions, in first faithful English translation from the original Russian edition. Fourteen chapters run from the real numbers through functions, limits and the number e, continuity, the derivative and the differential, the mean-value theorems and Taylor's formula, the study of functions by their derivatives, functions of several variables and their differentiation and extrema, the indefinite and the definite integral, geometric and mechanical applications, curvature, and a historical survey of the origins of analysis from its prehistory to Newton and Leibniz. 390 pages with an alphabetical index.

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October 2026

Available Now

Lebedintsev's Algebra Problems, Part I

by K. F. Lebedintsev

US grades 7–9 · UK Years 8–10

A graded collection of 1,637 problems for the first course in algebra, in first faithful English translation from the original Russian edition. Five divisions and sixty numbered sections lead from general formulas built out of arithmetic problems, coefficients, exponents and roots; through negative numbers, zero and coordinates on a line; the operations on integral and fractional expressions, factoring, the greatest common divisor and least common multiple, and zero and negative exponents; equations and inequalities of the first degree, proportions, and systems in two and three unknowns, with long runs of word problems from trade, travel, work and physics; to points and straight lines on the coordinate plane, functions of the first order and their graphs, and graphs of uniform change. No answers are printed: the author held that a pupil should check his own work.

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October 2026

Available Now

Rashevsky's Geometry

by K. N. Rashevsky

US grades 8–11 · UK Years 9–12

A complete school course in plane and solid geometry in one volume, in first faithful English translation from the original Russian edition. Two parts, thirty chapters and 406 numbered articles. The planimetry runs from the straight line, polygons and the circle through the three cases of equality of triangles, parallel lines, parallelograms and trapezoids and construction problems; the method of loci, parallel translation and rotation; ratio and common measure, angles in a circle, proportional segments, similarity and homothety; the basic trigonometric functions of the right triangle; regular polygons, areas, the concept of a limit, the circumference and area of the circle, and algebra applied to geometry. The stereometry covers the position of a plane, perpendicular and parallel lines and planes, dihedral and polyhedral angles, polyhedra and their volumes, the cylinder, cone and sphere, incommensurable quantities, and closes with practical work: making a plan and levelling. 338 figures and 367 exercises in ten graded sets.

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October 2026

Available Now

Perelman's Geometry

by Ya. I. Perelman

US grades 7–10 · UK Years 8–11

A practical course in plane and solid geometry for self-study, carried as far as the trigonometry of the right triangle, in first faithful English translation from the original Russian edition. Nine chapters: the straight line and the circle, with scales, circumferential speed, belts and gear wheels; angles and parallel lines, with the protractor; the triangle, its construction and the tests for equality; polygons and the parallelogram, with the vernier and slide calipers; chords, tangents, conjugation and the ellipse; similarity, Pythagoras’ rule and the square root; tangent, cotangent, sine and cosine, with their tables; areas, from the rectangle to the circle, the ellipse and irregular figures; and the surfaces, volumes and weights of solids. The main text rests on about forty theorems; 458 problems, about half the book, carry the rest, with solutions or answers to 423 of them. 230 figures.

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October 2026

Available Now

Davidov's Trigonometry

by A. Yu. Davidov

US grades 10–12 + · UK Years 10–13

Plane and spherical trigonometry in one course, by the founding president of the Moscow Mathematical Society, in first complete English translation. Three parts and 97 numbered sections. Goniometry builds the trigonometric lines from geometric construction, follows them through the whole circle, and treats the addition, multiplication and division of arcs and the construction and use of trigonometric tables, Lalande’s and the seven-digit tables among them. Plane trigonometry solves right and oblique triangles and applies them to measurement: inaccessible distances and heights. Spherical trigonometry derives the fundamental formulas, Delambre’s formulas and Napier’s analogies, solves right and oblique spherical triangles and finds the area of a spherical triangle. A seven-part Supplement takes up inverse trigonometric functions, De Moivre’s formula, the roots of xᵐ = 1, regular polygons, the cubic equation solved by trigonometric lines, and the expansion of the functions into series. Sixty figures, and 265 problems, 212 of them answered in the key at the back.

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October 2026

Available Now

Malinin and Burenin's Algebra

by A. F. Malinin & K. P. Burenin

US grades 8–12 · UK Years 9–13

The algebra course and its problem collection in one volume, in first faithful English translation from the original Russian edition. An Introduction and sixteen chapters, 429 numbered articles, run from positive and negative numbers and the operations on algebraic expressions through equations of the first degree in one and several unknowns; powers and roots, with the square and cube roots of numbers and the square root of polynomials; quadratic equations, imaginary expressions and the trinomial of the second degree; inequalities; indeterminate equations; proportions; arithmetic and geometric progressions; logarithms; combinations and Newton’s binomial; continued fractions; the method of limits; and series. Problem sets follow the articles throughout — more than 3,300 numbered problems, 620 of them in a closing chapter of miscellaneous problems — and 2,698 answers are printed at the back.

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September 2026

Available Now

Rybkin's Trigonometry Problems

by N. A. Rybkin

US grades 10–12 · UK Years 10–13

A problem book in trigonometry by the author of the planimetry and stereometry problem collections, in first faithful English translation from the original Russian edition. 1,009 numbered problems in 24 sections and two parts, with an answer key at the back. Part One works through trigonometry itself: the measurement of arcs and angles and radian measure, the variation of the functions, the relations between the functions of one angle, tables of natural values, right and oblique triangles, reduction formulas, the addition theorem, multiple and half arguments, sums turned into products and the auxiliary angle, logarithmic computation, trigonometric equations and inverse circular functions. Part Two applies trigonometry to geometry: plane figures, lines and planes, dihedral and polyhedral angles, the area of a projection, prisms and pyramids, cylinders and cones, volumes, the sphere and solids of revolution. Forty-five figures and a table of natural values.

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September 2026

Available Now

Rybkin's Plane Trigonometry

by N. A. Rybkin

US grades 10–12 · UK Years 10–13

A complete course in plane trigonometry, in first faithful English translation from the original Russian edition. Eleven chapters and 126 numbered sections in three divisions. Goniometry builds the six trigonometric functions from lines in the circle, first for the acute angle and then through the full revolution: reduction formulas, negative angles and periodicity, graphs of the functions, inverse circular functions, the sum and difference, double-angle and half-angle formulas, reduction to logarithmic form and the auxiliary angle, and a chapter of trigonometric equations that shows how roots are lost. The second division explains how trigonometric tables are constructed and how four- and five-place tables are used. The third solves right and oblique triangles, each case worked with natural values and again with logarithms, and closes with measurement in the field: inaccessible distances, heights and triangulation. Fifty-four figures and a summary of the basic formulas.

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