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Kiselev’s Arithmetic trained generations of strong mathematicians by doing something modern textbooks increasingly avoid: it teaches you to think, not to memorize.

This edition is a carefully edited English translation and adaptation of Alexander P. Kiselev’s classic Arithmetic, written to be clear for today’s readers while preserving the book’s original strengths: logical structure, disciplined reasoning, and genuinely graduated practice.

Kiselev doesn’t rely on gimmicks, cartoons, or “feel-good” shortcuts. Instead, it builds mathematical understanding the way it should be built: step by step, with definitions, methods, and problems that reinforce real mastery.

What Makes This Edition Different

Student-friendly English, not diluted math
The language is modern and readable, but the reasoning remains precise.
Concepts first, procedures second
You learn what operations mean and why methods work—not just what buttons to press.
Built for real arithmetic competence
This is arithmetic as a foundation for algebra, problem solving, and later olympiad-style thinking—not arithmetic as rote computation.

Who This Book Is For

This book is designed for:

Students who want to become strong at math (not just “get by”)
Parents and tutors who want a rigorous, coherent curriculum
Adults rebuilding fundamentals properly (including engineers and data scientists)
Anyone frustrated by modern materials that lower expectations and hide the logic

What You’ll Learn

You will develop:

numerical intuition and mental calculation ability
correct written computation methods (that you can explain, not copy)
fluency with fractions, ratios, and proportional reasoning
disciplined reasoning through structured examples and exercises
a foundation that makes algebra and later mathematics dramatically easier

Why Kiselev Still Works

Most math difficulties later in life come from weak arithmetic foundations: shaky fractions, unclear place value, and procedures learned without understanding.

Kiselev fixes this at the source.

It treats the reader as capable, and it rewards effort with genuine competence.

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