Kiselevs Arithmetik — Kiselev's Arithmetic in German
by A. P. Kiselev
Translated by Valery Manokhin, PhD
German edition
The complete German edition of Kiselev's Arithmetic, translated from the Russian original. Whole numbers, divisibility, measurement, fractions, ratio and proportion — every rule derived, not asserted.
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 | 4–7 | Elementary math → Pre-Algebra |
|---|---|---|
| England | Years 5–8 | KS2 into KS3 · pre-GCSE |
| Canada (Ontario) | Ontario 4–7 | BC Math 4–7 · QC Elementary 4 – Secondary I |
Not covered in this book
negative numbers · coordinate geometry · statistics and data handling · probability · percentages
Source these strands elsewhere. They are missing from the book, not from this description.
How this book fits
See the whole sequence →This is the same book as Kiselev's Arithmetic. It sits at exactly the same point in the sequence.
Table of contents
24 section headings — the printed contents page in full.
Vorwort des Übersetzers
Abteilung I. GANZE ZAHLEN7 sections
- I. Ganze Zahlen, ihre Benennung und Bezeichnung
- II. Verschiedene Zahlensysteme. Römische Ziffern
- III. Addition
- IV. Subtraktion
- V. Rechenzeichen. Gleichheits- und Ungleichheitszeichen. Klammern
- VI. Multiplikation
- VII. Division
Abteilung II. ÜBER DIE TEILBARKEIT DER ZAHLEN5 sections
- I. Teilbarkeitsmerkmale
- II. Zerlegung von Zahlen in Primfaktoren
- III. Bestimmung der Teiler einer zusammengesetzten Zahl
- IV. Größter gemeinsamer Teiler mehrerer Zahlen
- V. Das kleinste gemeinsame Vielfache mehrerer Zahlen
Abteilung III. MESSUNG VON GRÖSSEN. DAS METRISCHE MASSSYSTEM
Abteilung IV. GEMEINE (EINFACHE) BRÜCHE5 sections
- I. Grundlagen
- II. Änderung des Wertes eines Bruchs bei Änderung seiner Glieder
- III. Kürzen eines Bruchs
- IV. Brüche auf den kleinsten gemeinsamen Nenner bringen
- V. Rechenoperationen mit gebrochenen Zahlen
Abteilung V. DEZIMALBRÜCHE4 sections
- I. Grundlegende Eigenschaften der Dezimalbrüche
- II. Rechenoperationen mit Dezimalbrüchen
- III. Umwandlung gemeiner Brüche in Dezimalbrüche
- IV. Umwandlung periodischer Brüche in gemeine Brüche
Abteilung VI. PROPORTIONALE GRÖSSEN3 sections
- I. Proportionen
- II. Proportionale Abhängigkeit der Größen
- III. Aufgaben zur proportionalen Teilung
Verzeichnis der berichtigten Stellen
Formats and editions
German edition
| Format | List price (USD) | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Paperback | $39.95 | 978-1-919012-62-9 | Amazon | Buy → |
| Hardcover | $79.95 | 978-1-919012-63-6 | 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.
Product details
- Publisher
- Northern Star Academic Press
- Language
- German
- Translator
- Valery Manokhin, PhD
- First published
- 2026-08-29
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
More in This Series
Arithmétique (Français)
by A. P. Kiselev
US grades 4–7 · UK Years 5–8
The complete French edition of Kiselev's Arithmetic, translated from the Russian original. Whole numbers, divisibility, measurement, fractions, ratio and proportion — every rule derived, not asserted.
Aritmetica (Italiano)
by A. P. Kiselev
US grades 4–7 · UK Years 5–8
The complete Italian edition of Kiselev's Arithmetic, translated from the Russian original. Whole numbers, divisibility, measurement, fractions, ratio and proportion — every rule derived, not asserted.
Aritmetik (Svenska)
by A. P. Kiselev
US grades 4–7 · UK Years 5–8
The complete Swedish edition of Kiselev's Arithmetic, translated from the Russian original. Whole numbers, divisibility, measurement, fractions, ratio and proportion — every rule derived, not asserted.