Problems for School Mathematics Circles
by I. I. Bazhenov, A. G. Poroshkin, A. Yu. Timofeev & V. D. Yakovlev
Translated by Valery Manokhin, PhD
A problem book for school mathematics circles, in first faithful English translation from the original Russian edition: 271 problems with hints, answers and worked solutions. The first part teaches the methods one at a time — logic problems, pouring and weighing, Euler circles, the Dirichlet (pigeonhole) principle, the extremal principle, invariants and semi-invariants, colouring, games, division with remainder, primes, Diophantine equations, graphs and combinatorics. The second is a collection for independent and olympiad practice. 85 figures.
· 271 exercises· 204 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 | 6–10 | Math circles, MATHCOUNTS and AMC 8/10 preparation — enrichment, not a course |
|---|---|---|
| England | Years 7–11 | UKMT Junior and Intermediate challenges |
| Canada (Ontario) | Ontario 6–10 | math circles · CEMC Gauss and Pascal–Cayley–Fermat contests |
Not covered in this book
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
Problems to work alongside it
Table of contents
21 section headings — the printed contents page in full.
Methods and Topics19 sections
- Logic Problems
- Flowcharts in Pouring and Weighing Problems
- Mathematical Billiards and Pouring Problems
- Euler Circles
- The Dirichlet Principle
- The Neighborhood of a Figure
- The Extremal Principle
- Invariant
- Semi-invariant
- The Coloring Method
- Games
- Division with Remainder
- Attention! Integers!
- Prime and Composite Numbers
- Diophantine Equations
- Correspondences
- We Are Surrounded by Graphs
- Combinatorics
- Solutions and Answers to the Problems Proposed for Independent Solution
Problems and Solutions2 sections
- Problems
- Hints, Answers, Solutions
Literature for Extracurricular Work in Mathematics
Formats and editions
| Format | Price | ISBN-13 | Where | Buy |
|---|---|---|---|---|
| Digital edition | $44.95 | — | Gumroad · Read online | Buy → |
Prices are the publisher list prices. Amazon sets the final price in each store.
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
- 204 pages
Published by Northern Star Academic Press · First faithful English translation from the original Russian edition
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