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Malinin and Burenin's Guide to Algebra and Collection of Algebraic Problems: A Foundational Algebra Course
Paperback
Series: Russian Math Classics - English Editions, Book 48
AlgebraGeneral EducationTest Prep
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ISBN10: 1809100445
ISBN13: 9781809100443
Publisher: Northern Star Academic Press
Published: Oct 1 2026
Pages: 460
Weight: 1.74
Height: 0.93 Width: 7.00 Depth: 10.00
Language: English
ISBN13: 9781809100443
Publisher: Northern Star Academic Press
Published: Oct 1 2026
Pages: 460
Weight: 1.74
Height: 0.93 Width: 7.00 Depth: 10.00
Language: English
The classic Russian gymnasium algebra: a full course and its problem collection in one volume. Malinin and Burenin's algebra taught generations of Russian secondary-school students. It is two books in one. A complete course of theory, and a large collection of problems, most of them answered at the back. This edition is a complete English translation: every article, worked example, problem and answer. The numbers: 16 chapters - 429 numbered articles - 2,698 answers - 620 miscellaneous review problems - 458 pages, 7 × 10 in. What it covers, in the authors' order:
- Positive and negative numbers, and operations on algebraic expressions
- Equations of the first degree, single and simultaneous
- Powers and roots, radicals, negative and fractional exponents
- Quadratic equations and equations that reduce to them
- Inequalities and indeterminate (Diophantine) equations
- Proportions, arithmetic and geometric progressions
- Logarithms: tables, interpolation, exponential equations, compound interest and instalment payments
- Combinations and Newton's binomial
- Continued fractions, the method of limits, and infinite series
- A closing chapter of 620 miscellaneous problems Why this book. Definitions come first. Every rule is derived, shown on worked examples, then practised until it sticks. The problems climb from routine drill to genuinely hard, and the answer key lets a student work alone. Where a modern textbook gives a handful of exercises per idea, Malinin and Burenin give dozens. Checked, not just translated. Every answer in the solutions section was reworked against the problem it answers, and the mathematics was checked line by line against the original pages. Who it is for: students working through Algebra 1, Algebra 2 and precalculus (US grades 9-12, UK Years 10-13, Canadian grades 9-12); homeschool families; teachers and tutors who need a deep bank of problems with answers; and adults rebuilding algebra from first principles. Not covered: graphs and the function concept, coordinate geometry, statistics, probability and calculus. Translated by Valery Manokhin, PhD. Also by Malinin and Burenin in English: Malinin and Burenin's Arithmetic, the Collection of Arithmetic Problems (3,807 problems with answers), and A. F. Malinin's Problems for Mental Calculation. From Northern Star Academic Press. Explore the full series of classic Russian mathematics in English - Kiselev's Arithmetic, Algebra, Geometry and Calculus, Rybkin, Barsukov, Markov and more - at russianmathbooks.com.
- Equations of the first degree, single and simultaneous
- Powers and roots, radicals, negative and fractional exponents
- Quadratic equations and equations that reduce to them
- Inequalities and indeterminate (Diophantine) equations
- Proportions, arithmetic and geometric progressions
- Logarithms: tables, interpolation, exponential equations, compound interest and instalment payments
- Combinations and Newton's binomial
- Continued fractions, the method of limits, and infinite series
- A closing chapter of 620 miscellaneous problems Why this book. Definitions come first. Every rule is derived, shown on worked examples, then practised until it sticks. The problems climb from routine drill to genuinely hard, and the answer key lets a student work alone. Where a modern textbook gives a handful of exercises per idea, Malinin and Burenin give dozens. Checked, not just translated. Every answer in the solutions section was reworked against the problem it answers, and the mathematics was checked line by line against the original pages. Who it is for: students working through Algebra 1, Algebra 2 and precalculus (US grades 9-12, UK Years 10-13, Canadian grades 9-12); homeschool families; teachers and tutors who need a deep bank of problems with answers; and adults rebuilding algebra from first principles. Not covered: graphs and the function concept, coordinate geometry, statistics, probability and calculus. Translated by Valery Manokhin, PhD. Also by Malinin and Burenin in English: Malinin and Burenin's Arithmetic, the Collection of Arithmetic Problems (3,807 problems with answers), and A. F. Malinin's Problems for Mental Calculation. From Northern Star Academic Press. Explore the full series of classic Russian mathematics in English - Kiselev's Arithmetic, Algebra, Geometry and Calculus, Rybkin, Barsukov, Markov and more - at russianmathbooks.com.
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