Kiselev's Stereometry
by A. P. Kiselev
Translated by Valery Manokhin, PhD
Kiselev's three-dimensional geometry text — the first complete English translation. Polyhedra, the five Platonic solids, cylinders, cones, the ball, and Cavalieri's principle.
· 112 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
Not sure this is the right first book? Start here →Full curriculum table — every book by school year →| United States | 9–11 | Geometry, solid strand (G-GMD) plus substantial enrichment |
|---|---|---|
| England | Years 10–13 | GCSE Higher → A-level enrichment |
| Canada (Ontario) | Ontario 9–11 | measurement strands · BC Geometry 12 · QC Secondary III–V |
Not covered in this book
coordinate geometry · transformations on a grid · vectors · 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 Planimetry$59.95
Covers much of the same ground
One volume covering this and the plane geometry together — but without the orthogonal-projection chapter or the essay on the axioms of geometry.
- Davidov's Geometry$59.95
Davidov's treats this solid geometry in the five closing chapters of a 324-page volume that begins with the plane, adding the spherical triangle and the conic sections. It has no chapter on orthogonal projection.
- Rashevsky's Geometry$54.95
Rashevsky's treats this solid geometry in the ten closing chapters of a 276-page volume that begins with the plane, adding chapters on incommensurable quantities and on surveying and levelling. It has no chapter on orthogonal projection.
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
- Perelman's Geometry$44.95
What comes next
- Rashevsky's Trigonometry$39.95
Further reading
- Fuss's Geometry$44.95
A historical text to read beside the course, not a substitute for it.
Table of contents
20 section headings — the printed contents page in full.
Translator's Preface
Preliminary Remarks
Lines and Planes9 sections
- Determination of the Position of a Plane
- Parallel Lines and Planes
- The Perpendicular and Oblique Lines to a Plane
- Dependence Between the Parallelism and Perpendicularity of Lines and Planes
- Construction Problems
- Dihedral Angles, the Angle of a Line with a Plane, the Angle of Two Skew Lines, Polyhedral Angles
- Polyhedral Angles
- Exercises
- Construction Problems
Orthogonal Projections of a Point, a Segment, and a Figure
Polyhedra7 sections
- Parallelepiped and Pyramid
- Exercises
- Volume of a Prism and a Pyramid
- Similarity of Polyhedra
- Notions of Regular Polyhedra
- Notions of the Symmetry of Spatial Figures
- Exercises
Round Solids3 sections
- Cylinder and Cone
- Sphere
- Exercises
Supplement1 section
- On the Axioms of Geometry
Table of Functions
Formats and editions
| Format | List price (USD) | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Digital edition | $49.95 | — | Gumroad · Read online | Buy → |
| Kindle | $54.95 | — | Amazon | Buy → |
| Paperback | $49.95 | 978-1-919012-03-2 | Amazon | Buy → |
| Hardcover | $74.95 | 978-1-919012-04-9 | Amazon | Buy → |
List price: the US publisher list price in USD, shown for reference. Amazon sets its own price in each store — see the current price on Amazon. The Gumroad price is the price charged.
The digital edition is read online in the Gumroad reader. It is not a downloadable file.
Product details
- Publisher
- Northern Star Academic Press
- Language
- English
- Translator
- Valery Manokhin, PhD
- Print length
- 112 pages
- First published
- 2026-08-03
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
More in This Series
Kiselev's Arithmetic
by A. P. Kiselev
US grades 4–7 · UK Years 5–8
The foundational arithmetic textbook used in Russian schools for over a century, in complete English translation. 6 parts, 214 sections. Whole numbers through proportional quantities, with mathematical proofs for every operation. Paperback, hardcover and Kindle on Amazon; the digital edition is read online in Gumroad; there is no file to download.
Kiselev's Algebra I
by A. P. Kiselev
US grades 7–9 · UK Years 8–10
6 chapters, 126 sections, 239 exercises. From relative numbers and polynomials through first-degree equations, powers, roots, and quadratics.
Kiselev's Algebra II
by A. P. Kiselev
US grades 9–12 · UK Years 10–13
12 chapters plus Supplements, 187 sections. Functions, quadratic systems, inequalities, logarithms, progressions, complex numbers, the binomial theorem, and continued fractions.