Kiselev’s Elementary Algebra: The Definitive Russian Mathematics Textbook (Russian Math Classics — English Editions)

Kiselev's Elementary Algebra

MORE THAN SEVENTY YEARS IN RUSSIAN AND SOVIET CLASSROOMS. MORE THAN 80 MILLION SCHOOLCHILDREN REACHED BY KISELEV'S BOOKS. ONE OF THE GREAT TEXTBOOK TRADITIONS IN MATHEMATICAL HISTORY.

Andrei Petrovich Kiselev studied in the St Petersburg mathematical world shaped by P. L. Chebyshev and associated with A. A. Markov and D. I. Mendeleev—the golden age of Russian mathematics. He chose school mathematics as his life's work: carrying the discipline of the Petersburg mathematical school into a course that ordinary pupils could follow without lowering the standard of reasoning.

Kiselev's algebra is not a manual of shortcuts. Concepts are introduced in a deliberate order. Rules are connected to the operations that justify them. Worked examples make the method visible, and proof is treated as part of elementary education rather than as an optional ornament. This is algebra as a connected structure, not a collection of recipes to memorize.

WHAT MAKES THIS COURSE DISTINCTIVE

• Reason before routine. Definitions, transformations, and equations are developed step by step, with the reasoning behind the procedures kept in view.
• A complete progression. The course moves from algebraic notation, signs, monomials, and polynomials through operations, equations, powers, roots, radicals, and complex numbers.
• The wider algebraic world. Later sections develop inequalities, progressions, logarithms and their tables, combinations, Newton's binomial, continued fractions, and quadratic expressions.
• Faithful mathematical form. Section numbering, worked examples, formulas, proof structure, and the two-dimensional arrangements of calculations are retained in a consistent English typographic form.

INSIDE THIS VOLUME

293 pages, 66 numbered sections, and a nine-part course that builds from the first algebraic signs to serious methods of calculation and reasoning. It is a complete English edition—not an abridgment, adaptation, or simplified rewrite.

WHO THIS IS FOR

Students who want a carefully sequenced foundation; teachers and homeschool families looking for a rigorous classical text; independent learners rebuilding their algebra; and readers interested in the Russian mathematical tradition.

Pair it with the other Kiselev mathematics volumes, including Arithmetic, Algebra, Part I, Algebra, Part II, and Calculus.

Translated by Valery Manokhin, PhD. Published by Northern Star Academic Press. Full catalogue at russianmathbooks.com.