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Kiselev's Calculus: Beginnings of Differential and Integral Calculus — First Complete English Translation (Russian Math Classics — English Editions)

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Description

Kiselev's Beginnings of Differential and Integral Calculus was the calculus text on which several generations of Soviet science and engineering students first met derivatives, integrals, and limits — in the same rigorous, ground-up tradition as his Arithmetic and Algebra. Now, for the first time, the complete English translation is available. Written as the natural continuation of Kiselev's Elementary Algebra, this volume develops differential and integral calculus from first principles: limits and continuity, the derivative and its geometric meaning, applications to curve tracing and optimisation, the definite and indefinite integral, techniques of integration, and applications to area, volume, and physics. Each concept is built from the ground up. Nothing is asserted; everything is proved. Prerequisite: Kiselev's Algebra, Parts I & II — the two volumes that prepare the reader for this calculus with the algebraic technique it assumes. This is a faithful translation from the Russian — no adaptation, no simplification. Section numbering, worked examples, and proofs follow the source edition used in Soviet classrooms. Available in paperback and hardcover. Ideal for: homeschool families completing a rigorous mathematics track, teachers seeking a proof-based first-calculus text, engineering and physics students who want the classical foundations, and adults returning to calculus with the depth they missed the first time. Part of Russian Math Classics — English Editions. Translated by Valery Manokhin, PhD (Royal Holloway, University of London). Published by Northern Star Academic Press. Full catalogue at russianmathbooks.com.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
26 May 2026
Listed Since
27 May 2026

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