Davidov's Elementary Algebra
by A. Yu. Davidov
Translated by Valery Manokhin, PhD
The algebra course written by the founding president of the Moscow Mathematical Society, in first faithful English translation from the original Russian edition. Five divisions and 478 numbered articles run from algebraic signs and the fundamental operations through polynomials, the greatest common divisor, algebraic and continued fractions, ratio and proportion; equations of the first degree in one, two and several unknowns; powers and roots, irrational and incommensurable quantities, Newton’s binomial, quadratic equations and their investigation, imaginary quantities and equations of the third and fourth degree; indeterminate analysis; and progressions, series, logarithms and compound interest. Full solutions to the problems are included.
5 chapters · 478 numbered articles · 509 pages
Where this fits in school — US, UK and Canada ↓ Adults and self-learners welcome — great mathematics has no age limit.
Where this fits in school
Full curriculum table — every book by school year →| United States | 8–12 | Algebra 1 through Algebra 2, running into Precalculus |
|---|---|---|
| United Kingdom | Years 9–13 | KS3 → GCSE Higher → A-level Pure |
| Canada | Ontario 8–12 | MTH1W → MPM2D → MCR3U · QC Secondary III–V SN |
Not covered in this book
graphs and the function concept · coordinate geometry · statistics and data handling · probability
Source these strands elsewhere. They are missing from the book, not from this description.
How this book fits
See the whole sequence →Work through first
- Kiselev's Arithmetic$44.95
Covers much of the same ground
- Elementary Algebra$69.95
The 1908 single volume is 292 pages of exposition with no exercises at all. This one is 509 pages and 478 numbered articles and prints full solutions to its problems. Neither carries functions or graphs.
- Kiselev's Algebra II$54.95
Part II carries coordinates, the function concept and graphs. This book has none of them anywhere in its 509 pages, and goes further instead on indeterminate analysis, imaginary quantities and compound interest.
- Kiselev's Algebra I$44.95
Part I is the first-course half — 152 pages, 126 articles, 239 graded exercises with answers. This book is the whole course in one volume, with full solutions, but no functions and no graphs; those are in Part II.
These overlap heavily. Each note says what that book has which this one does not — the differences are what decide between them.
Problems to work alongside it
- Barsukov's Algebra$54.95
What comes next
- Kiselev's Calculus$54.95
Table of contents
39 section headings — the printed contents page in full.
Translator's Preface
I Fundamental Algebraic Operations10 sections
- Explanation and Use of Algebraic Signs
- Positive and Negative Quantities
- The Polynomial
- Addition and Subtraction
- Multiplication
- Division
- The Greatest Common Divisor
- Algebraic Fractions
- Continued Fractions
- Ratios and Proportions
II Equations of the First Degree6 sections
- Solution of Equations of the First Degree with One Unknown
- Formation of Equations
- Equations with Two Unknowns
- Equations with Several Unknowns
- Formation of Equations with Several Unknowns
- Investigation of Equations of the First Degree
III Powers, Roots, and Quadratic Equations14 sections
- On Powers and Roots
- Operations on Irrational Expressions and Incommensurable Quantities
- Generalization of the Concept of a Power
- Extraction of the Square Root
- Extraction of the Cube Root
- Compounds
- Newton's Binomial
- Solution of Quadratic Equations
- Investigation of the Quadratic Equation
- Equations Reducible to Quadratic Equations
- Equations of the Second Degree with Several Unknowns
- On the Trinomial Quantity
- On Imaginary Quantities
- Equations of the Third and Fourth Degree
IV Indeterminate Analysis3 sections
- Inequalities
- Indeterminate Equations
- Some Propositions about Numbers
V Progressions and Logarithms6 sections
- Arithmetical Progressions
- Geometrical Progressions
- On Series
- On Logarithms
- Construction and Use of Ordinary Logarithmic Tables
- Computation of Compound Interest and Periodic Payments
Solutions to the Problems
Formats and editions
| Format | Price | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Paperback | $59.95 | 978-1-919012-99-5 | Amazon | Buy → |
| Hardcover | $94.95 | 978-1-80910-000-9 | Amazon | Buy → |
Prices are the publisher list prices. Amazon sets the final price in each store.
Product details
- Publisher
- Northern Star Academic Press
- Language
- English
- Translator
- Valery Manokhin, PhD
- Print length
- 509 pages
- First published
- 2026-09-20
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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